Kalia Public High School

Kalia Public High School It is an effort to bring up all the ex-students and current students of Kalia Public High school in a single platform and building relationship and network.

04/09/2026

Celebrating my 12th year on Facebook. Thank you for your continuing support. I could never have made it without you. 🙏🤗🎉

03/09/2026
Examinee: 107, Appeared: 107,Passed: 74, Percentage of Pass: 69.16, GPA 5: 4
12/05/2024

Examinee: 107,
Appeared: 107,
Passed: 74,
Percentage of Pass: 69.16,
GPA 5: 4

āϏāĻŦāĻžāχāϕ⧇ āĻĒāĻŦāĻŋāĻ¤ā§āϰ āψāĻĻ-āωāϞ-āĻĢāĻŋāϤāϰ⧇āϰ āĻļ⧁āϭ⧇āĻšā§āĻ›āĻž... đŸ—Ŗī¸đŸ—Ŗī¸đŸ—Ŗī¸āψāĻĻ āĻŽā§‹āĻŦāĻžāϰāĻ• 🌹🌹🌹
21/04/2023

āϏāĻŦāĻžāχāϕ⧇ āĻĒāĻŦāĻŋāĻ¤ā§āϰ āψāĻĻ-āωāϞ-āĻĢāĻŋāϤāϰ⧇āϰ āĻļ⧁āϭ⧇āĻšā§āĻ›āĻž... đŸ—Ŗī¸đŸ—Ŗī¸đŸ—Ŗī¸
āψāĻĻ āĻŽā§‹āĻŦāĻžāϰāĻ• 🌹🌹🌹

đŸ—Ŗī¸đŸ—Ŗī¸đŸ—Ŗī¸"āϏāĻšāĻ•āĻžāϰ⧀ āĻļāĻŋāĻ•ā§āώāĻ• āύāĻŋā§Ÿā§‹āĻ— ⧍ā§Ļ⧍ā§Ļ" āĻāϰ āĻŽā§ŒāĻ–āĻŋāĻ• āĻĒāϰ⧀āĻ•ā§āώāĻžāϰ āϏāĻŽā§Ÿ āϏ⧂āϚāĻŋ...đŸ—Ŗī¸đŸ—Ŗī¸đŸ—Ŗī¸āĻŽāĻžāύāĻŋāĻ•āĻ—āĻžā§āϜāĨ¤
12/06/2022

đŸ—Ŗī¸đŸ—Ŗī¸đŸ—Ŗī¸
"āϏāĻšāĻ•āĻžāϰ⧀ āĻļāĻŋāĻ•ā§āώāĻ• āύāĻŋā§Ÿā§‹āĻ— ⧍ā§Ļ⧍ā§Ļ" āĻāϰ āĻŽā§ŒāĻ–āĻŋāĻ• āĻĒāϰ⧀āĻ•ā§āώāĻžāϰ āϏāĻŽā§Ÿ āϏ⧂āϚāĻŋ...đŸ—Ŗī¸đŸ—Ŗī¸đŸ—Ŗī¸āĻŽāĻžāύāĻŋāĻ•āĻ—āĻžā§āϜāĨ¤

26/03/2022

1.. (a+b)²= a²+2ab+b²
2.. (a+b)²= (a-b)²+4ab
3.. (a-b)²= a²-2ab+b²
4.. (a-b)²= (a+b)²-4ab
5.. a² + b²= (a+b)²-2ab.
6.. a² + b²= (a-b)²+2ab.
7.. a²-b²= (a +b)(a -b)
8.. 2(a²+b²)= (a+b)²+(a-b)²
9.. 4ab = (a+b)²-(a-b)²
10.. ab = {(a+b)/2}²-{(a-b)/2}²
11.. (a+b+c)² = a²+b²+c²+2(ab+bc+ca)
12.. (a+b)Âŗ = aÂŗ+3a²b+3ab²+bÂŗ
13.. (a+b)Âŗ = aÂŗ+bÂŗ+3ab(a+b)
14.. (a-b)Âŗ= aÂŗ-3a²b+3ab²-bÂŗ
15.. (a-b)Âŗ= aÂŗ-bÂŗ-3ab(a-b)
16.. aÂŗ+bÂŗ= (a+b) (a²-ab+b²)
17.. aÂŗ+bÂŗ= (a+b)Âŗ-3ab(a+b)
18.. aÂŗ-bÂŗ = (a-b) (a²+ab+b²)
19.. aÂŗ-bÂŗ = (a-b)Âŗ+3ab(a-b)
20.. (a² + b² + c²) = (a + b + c)² – 2(ab + bc + ca)
21.. 2 (ab + bc + ca) = (a + b + c)² – (a² + b² + c²)
22.. (a + b + c)Âŗ = aÂŗ + bÂŗ + cÂŗ + 3 (a + b) (b + c) (c + a)
23.. aÂŗ + bÂŗ + cÂŗ – 3abc =(a+b+c)(a² + b²+ c²–ab–bc– ca)
24.. a3 + b3 + c3 – 3abc =ÂŊ (a+b+c) { (a–b)²+(b–c)²+(c–a)²}
25.. (x + a) (x + b) = x² + (a + b) x + ab
26.. (x + a) (x – b) = x² + (a – b) x – ab
27.. (x – a) (x + b) = x² + (b – a) x – ab
28.. (x – a) (x – b) = x² – (a + b) x + ab
29.. (x+p) (x+q) (x+r) = xÂŗ + (p+q+r) x² + (pq+qr+rp) x +pqr
30.. bc (b-c) + ca (c- a) + ab (a - b) = - (b - c) (c- a) (a - b)
31.. a² (b- c) + b² (c- a) + c² (a - b) = -(b-c) (c-a) (a - b)
32.. a (b² - c²) + b (c² - a²) + c (a² - b²) = (b - c) (c- a) (a - b)
33.. aÂŗ (b - c) + bÂŗ (c-a) +cÂŗ (a -b) =- (b-c) (c-a) (a - b)(a + b + c)
34.. b²-c² (b²-c²) + c²a²(c²-a²)+a²b²(a²-b²)=-(b-c) (c-a) (a-b) (b+c) (c+a) (a+b)
35.. (ab + bc+ca) (a+b+c) - abc = (a + b)(b + c) (c+a)
36.. (b + c)(c + a)(a + b) + abc = (a + b +c) (ab + bc + ca)
37. đŸ”ŖāφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āĻ°đŸ”Ŗ
38. 1.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = (āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ × āĻĒā§āϰāĻ¸ā§āĻĨ) āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
39. 2.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž = 2 (āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ+āĻĒā§āϰāĻ¸ā§āĻĨ)āĻāĻ•āĻ•
40. 3.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻ•āĻ°ā§āĻŖ = √(āĻĻ⧈āĻ°ā§āĻ˜ā§āĻ¯Â˛+āĻĒā§āϰāĻ¸ā§āĻĨ²)āĻāĻ•āĻ•
41. 4.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ= āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāĻ˛ÃˇāĻĒā§āϰāĻ¸ā§āϤ āĻāĻ•āĻ•
42. 5.āφāϝāĻŧāϤāĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻĒā§āϰāĻ¸ā§āϤ= āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāĻ˛ÃˇāĻĻ⧈āĻ°ā§āĻ˜ā§āϝ āĻāĻ•āĻ•
43.đŸ”ŖāĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āĻ°đŸ”Ŗ
44. 1.āĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = (āϝ⧇ āϕ⧋āύ āĻāĻ•āϟāĻŋ āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ)² āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
45. 2.āĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž = 4 × āĻāĻ• āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ āĻāĻ•āĻ•
46. 3.āĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻ•āĻ°ā§āĻŖ=√2 × āĻāĻ• āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ āĻāĻ•āĻ•
47. 4.āĻŦāĻ°ā§āĻ—āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āϰ āĻŦāĻžāĻšā§=√āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ āĻŦāĻž āĻĒāϰāĻŋāϏ⧀āĻŽāĻžÃˇ4 āĻāĻ•āĻ•
48.📷āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœđŸ“ˇ
49. 1.āϏāĻŽāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = √ž×(āĻŦāĻžāĻšā§)²
50. 2.āϏāĻŽāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āωāĻšā§āϚāϤāĻž = √3/2×(āĻŦāĻžāĻšā§)
51. 3.āĻŦāĻŋāώāĻŽāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = √s(s-a) (s-b) (s-c)
52. āĻāĻ–āĻžāύ⧇ a, b, c āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āϤāĻŋāύāϟāĻŋ āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ, s=āĻ…āĻ°ā§āϧāĻĒāϰāĻŋāϏ⧀āĻŽāĻž
53.★āĻĒāϰāĻŋāϏ⧀āĻŽāĻž 2s=(a+b+c)
54. 4āϏāĻžāϧāĻžāϰāĻŖ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = ÂŊ
55. (āĻ­ā§‚āĻŽāĻŋ×āωāĻšā§āϚāϤāĻž) āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
56. 5.āϏāĻŽāϕ⧋āĻŖā§€ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = ÂŊ(a×b)
57. āĻāĻ–āĻžāύ⧇ āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āϏāĻŽāϕ⧋āĻŖ āϏāĻ‚āϞāĻ—ā§āύ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ a āĻāĻŦāĻ‚ b.
58. 6.āϏāĻŽāĻĻā§āĻŦāĻŋāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāĻ­ā§‚āĻœā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 2√4b²-a²/4 āĻāĻ–āĻžāύ⧇, a= āĻ­ā§‚āĻŽāĻŋ; b= āĻ…āĻĒāϰ āĻŦāĻžāĻšā§āĨ¤
59. 7.āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āωāĻšā§āϚāϤāĻž = 2(āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ/āĻ­ā§‚āĻŽāĻŋ)
60. 8.āϏāĻŽāϕ⧋āĻŖā§€ āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āĻ…āϤāĻŋāϭ⧁āϜ =√ āϞāĻŽā§āĻŦ²+āĻ­ā§‚āĻŽāĻŋ²
61. 9.āϞāĻŽā§āĻŦ =√āĻ…āϤāĻŋāĻ­ā§‚āĻœÂ˛-āĻ­ā§‚āĻŽāĻŋ²
62. 10.āĻ­ā§‚āĻŽāĻŋ = √āĻ…āϤāĻŋāĻ­ā§‚āĻœÂ˛-āϞāĻŽā§āĻŦ²
63. 11.āϏāĻŽāĻĻā§āĻŦāĻŋāĻŦāĻžāĻšā§ āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āωāĻšā§āϚāϤāĻž = √b² - a²/4
64. āĻāĻ–āĻžāύ⧇ a= āĻ­ā§‚āĻŽāĻŋ; b= āϏāĻŽāĻžāύ āĻĻ⧁āχ āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝāĨ¤
65. 12.★āĻ¤ā§āϰāĻŋāϭ⧁āĻœā§‡āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž=āϤāĻŋāύ āĻŦāĻžāĻšā§āϰ āϏāĻŽāĻˇā§āϟāĻŋ
66.📷āϰāĻŽā§āĻŦāĻ¸đŸ“ˇ
67. 1.āϰāĻŽā§āĻŦāϏ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = ÂŊ× (āĻ•āĻ°ā§āĻŖāĻĻ⧁āχāϟāĻŋāϰ āϗ⧁āĻŖāĻĢāϞ)
68. 2.āϰāĻŽā§āĻŦāϏ⧇āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž = 4× āĻāĻ• āĻŦāĻžāĻšā§āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ
69.📷āϏāĻžāĻŽāĻžāĻ¨ā§āϤāϰāĻŋāĻ•đŸ“ˇ
70. 1.āϏāĻžāĻŽāĻžāĻ¨ā§āϤāϰāĻŋāϕ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = āĻ­ā§‚āĻŽāĻŋ × āωāĻšā§āϚāϤāĻž =
71. 2.āϏāĻžāĻŽāĻžāĻ¨ā§āϤāϰāĻŋāϕ⧇āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž = 2×(āϏāĻ¨ā§āύāĻŋāĻšāĻŋāϤ āĻŦāĻžāĻšā§āĻĻā§āĻŦāϝāĻŧ⧇āϰ āϏāĻŽāĻˇā§āϟāĻŋ)
72.📷āĻŸā§āϰāĻžāĻĒāĻŋāϜāĻŋāϝāĻŧāĻžāĻŽđŸ“ˇ
73. 1. āĻŸā§āϰāĻžāĻĒāĻŋāϜāĻŋāϝāĻŧāĻžāĻŽā§‡āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ =ÂŊ×(āϏāĻŽāĻžāĻ¨ā§āϤāϰāĻžāϞ āĻŦāĻžāĻšā§ āĻĻ⧁āχāϟāĻŋāϰ āϝāĻžā§‡āĻ—āĻĢāϞ)×āωāĻšā§āϚāϤāĻž
74.📷 āϘāύāĻ•đŸ“ˇ
75. 1.āϘāύāϕ⧇āϰ āϘāύāĻĢāϞ = (āϝ⧇āϕ⧋āύ āĻŦāĻžāĻšā§)Âŗ āϘāύ āĻāĻ•āĻ•
76. 2.āϘāύāϕ⧇āϰ āϏāĻŽāĻ—ā§āϰāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 6× āĻŦāĻžāĻšā§Â˛ āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
77. 3.āϘāύāϕ⧇āϰ āĻ•āĻ°ā§āĻŖ = √3×āĻŦāĻžāĻšā§ āĻāĻ•āĻ•
78.📷āφāϝāĻŧāϤāϘāύāĻ•đŸ“ˇ
79. 1.āφāϝāĻŧāϤāϘāύāϕ⧇āϰ āϘāύāĻĢāϞ = (āĻĻā§ˆā§°ā§āϘāĻžÃ—āĻĒā§āϰāĻ¸ā§āĻ¤Ã—āωāĻšā§āϚāϤāĻž) āϘāύ āĻāĻ•āĻ•
80. 2.āφāϝāĻŧāϤāϘāύāϕ⧇āϰ āϏāĻŽāĻ—ā§āϰāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 2(ab + bc + ca) āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
81. [ āϝ⧇āĻ–āĻžāύ⧇ a = āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ b = āĻĒā§āϰāĻ¸ā§āϤ c = āωāĻšā§āϚāϤāĻž ]
82. 3.āφāϝāĻŧāϤāϘāύāϕ⧇āϰ āĻ•āĻ°ā§āĻŖ = √a²+b²+c² āĻāĻ•āĻ•
83. 4. āϚāĻžāϰāĻŋ āĻĻ⧇āĻ“āϝāĻŧāĻžāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 2(āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ + āĻĒā§āϰāĻ¸ā§āĻĨ)×āωāĻšā§āϚāϤāĻž
84.📷āĻŦ⧃āĻ¤ā§āĻ¤đŸ“ˇ
85. 1.āĻŦ⧃āĻ¤ā§āϤ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = Ī€r²=22/7r² {āĻāĻ–āĻžāύ⧇ Ī€=āĻ§ā§āϰ⧁āĻŦāĻ• 22/7, āĻŦ⧃āĻ¤ā§āϤ⧇āϰ āĻŦā§āϝāĻžāϏāĻžāĻ°ā§āϧ= r}
86. 2. āĻŦ⧃āĻ¤ā§āϤ⧇āϰ āĻĒāϰāĻŋāϧāĻŋ = 2Ī€r
87. 3. āĻ—ā§‹āϞāϕ⧇āϰ āĻĒ⧃āĻˇā§āĻ āϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ = 4Ī€r² āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
88. 4. āĻ—ā§‹āϞāϕ⧇āϰ āφāϝāĻŧāϤāύ = 4Ī€rÂŗÃˇ3 āϘāύ āĻāĻ•āĻ•
89. 5. h āωāĻšā§āϚāϤāĻžāϝāĻŧ āϤāϞāĻšā§āĻšā§‡āĻĻ⧇ āĻ‰ā§ŽāĻĒāĻ¨ā§āύ āĻŦ⧃āĻ¤ā§āϤ⧇āϰ āĻŦā§āϝāĻžāϏāĻžāĻ°ā§āϧ = √r²-h² āĻāĻ•āĻ•
90. 6.āĻŦ⧃āĻ¤ā§āϤāϚāĻžāĻĒ⧇āϰ āĻĻ⧈āĻ°ā§āĻ˜ā§āϝ s=Ī€rθ/180° ,
91. āĻāĻ–āĻžāύ⧇ θ =āϕ⧋āĻŖ
92.📷āϏāĻŽāĻŦ⧃āĻ¤ā§āϤāĻ­ā§‚āĻŽāĻŋāĻ• āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ / āĻŦ⧇āϞāĻ¨đŸ“ˇ
93. āϏāĻŽāĻŦ⧃āĻ¤ā§āϤāĻ­ā§‚āĻŽāĻŋāĻ• āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ⧇āϰ āĻ­ā§‚āĻŽāĻŋāϰ āĻŦā§āϝāĻžāϏāĻžāĻ°ā§āϧ r āĻāĻŦāĻ‚ āωāĻšā§āϚāϤāĻž h āφāϰ āĻšā§‡āϞāĻžāύ⧋ āϤāϞ⧇āϰ āωāĻšā§āϚāϤāĻž l āĻšāϞ⧇,
94. 1.āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ⧇āϰ āφāϝāĻŧāϤāύ = Ī€r²h
95. 2.āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ⧇āϰ āĻŦāĻ•ā§āϰāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ (āϏāĻŋāĻāϏāĻ) = 2Ī€rhāĨ¤
96. 3.āϏāĻŋāϞāĻŋāĻ¨ā§āĻĄāĻžāϰ⧇āϰ āĻĒ⧃āĻˇā§āĻ āϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ (āϟāĻŋāĻāϏāĻ) = 2Ī€r (h + r)
97.📷āϏāĻŽāĻŦ⧃āĻ¤ā§āϤāĻ­ā§‚āĻŽāĻŋāĻ• āϕ⧋āĻŖāĻ•đŸ“ˇ
98. āϏāĻŽāĻŦ⧃āĻ¤ā§āϤāĻ­ā§‚āĻŽāĻŋāĻ• āĻ­ā§‚āĻŽāĻŋāϰ āĻŦā§āϝāĻžāϏāĻžāĻ°ā§āϧ r āĻāĻŦāĻ‚ āωāĻšā§āϚāϤāĻž h āφāϰ āĻšā§‡āϞāĻžāύ⧋ āϤāϞ⧇āϰ āωāĻšā§āϚāϤāĻž l āĻšāϞ⧇,
99. 1.āϕ⧋āĻŖāϕ⧇āϰ āĻŦāĻ•ā§āϰāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ= Ī€rl āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
100. 2.āϕ⧋āĻŖāϕ⧇āϰ āϏāĻŽāϤāϞ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰāĻĢāϞ= Ī€r(r+l) āĻŦāĻ°ā§āĻ— āĻāĻ•āĻ•
101. 3.āϕ⧋āĻŖāϕ⧇āϰ āφāϝāĻŧāϤāύ= â…“Ī€r²h āϘāύ āĻāĻ•āĻ•
102. 📷✮āĻŦāĻšā§āϭ⧁āĻœā§‡āϰ āĻ•āĻ°ā§āϪ⧇āϰ āϏāĻ‚āĻ–ā§āϝāĻž= n(n-3)/2
103. ✮āĻŦāĻšā§āϭ⧁āĻœā§‡āϰ āϕ⧋āĻŖāϗ⧁āϞāĻŋāϰ āϏāĻŽāĻˇā§āϟāĻŋ=(2n-4)āϏāĻŽāϕ⧋āĻŖ
104. āĻāĻ–āĻžāύ⧇ n=āĻŦāĻžāĻšā§āϰ āϏāĻ‚āĻ–ā§āϝāĻž
105.★āϚāϤ⧁āĻ°ā§āϭ⧁āĻœā§‡āϰ āĻĒāϰāĻŋāϏ⧀āĻŽāĻž=āϚāĻžāϰ āĻŦāĻžāĻšā§āϰ āϏāĻŽāĻˇā§āϟāĻŋ
106.📷āĻ¤ā§āϰāĻŋāϕ⧋āĻŖāĻŽāĻŋāϤāĻŋāϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞ⧀āĻƒđŸ“ˇ
107. 1. sinθ=⤞āĻŽā§āĻŦ/āĻ…āϤāĻŋāĻ­ā§‚āϜ
108. 2. cosθ=āĻ­ā§‚āĻŽāĻŋ/āĻ…āϤāĻŋāĻ­ā§‚āϜ
109. 3. taneθ=⤞āĻŽā§āĻŦ/āĻ­ā§‚āĻŽāĻŋ
110. 4. cotθ=āĻ­ā§‚āĻŽāĻŋ/āϞāĻŽā§āĻŦ
111. 5. secθ=āĻ…āϤāĻŋāĻ­ā§‚āϜ/āĻ­ā§‚āĻŽāĻŋ
112. 6. cosecθ=āĻ…āϤāĻŋāĻ­ā§‚āϜ/āϞāĻŽā§āĻŦ
113. 7. sinθ=1/cosecθ, cosecθ=1/sinθ
114. 8. cosθ=1/secθ, secθ=1/cosθ
115. 9. tanθ=1/cotθ, cotθ=1/tanθ
116. 10. sin²θ + cos²θ= 1
117. 11. sin²θ = 1 - cos²θ
118. 12. cos²θ = 1- sin²θ
119. 13. sec²θ - tan²θ = 1
120. 14. sec²θ = 1+ tan²θ
121. 15. tan²θ = sec²θ - 1
122. 16, cosec²θ - cot²θ = 1
123. 17. cosec²θ = cot²θ + 1
124. 18. cot²θ = cosec²θ - 1
125.📷 āĻŦāĻŋāϝāĻŧāĻžā§‡āϗ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞāĻŋ📷
126. 1. āĻŦāĻŋāϝāĻŧāĻžā§‡āϜāύ-āĻŦāĻŋāϝāĻŧā§‹āĻœā§āϝ =āĻŦāĻŋāϝāĻŧā§‹āĻ—āĻĢāϞāĨ¤
127. 2.āĻŦāĻŋāϝāĻŧāĻžā§‡āϜāύ=āĻŦāĻŋāϝāĻŧāĻžā§‡āĻ—āĻĢ + āĻŦāĻŋāϝāĻŧāĻžā§‡āĻœā§āϝ
128. 3.āĻŦāĻŋāϝāĻŧāĻžā§‡āĻœā§āϝ=āĻŦāĻŋāϝāĻŧāĻžā§‡āϜāύ-āĻŦāĻŋāϝāĻŧāĻžā§‡āĻ—āĻĢāϞ
129.📷 āϗ⧁āϪ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞāĻŋ📷
130. 1.āϗ⧁āĻŖāĻĢāϞ =āϗ⧁āĻŖā§āϝ × āϗ⧁āĻŖāĻ•
131. 2.āϗ⧁āĻŖāĻ• = āϗ⧁āĻŖāĻĢāϞ Ãˇ āϗ⧁āĻŖā§āϝ
132. 3.āϗ⧁āĻŖā§āϝ= āϗ⧁āĻŖāĻĢāϞ Ãˇ āϗ⧁āĻŖāĻ•
133.📷 āĻ­āĻžāϗ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞāĻŋ📷
134. āύāĻŋāσāĻļ⧇āώ⧇ āĻŦāĻŋāĻ­āĻžāĻœā§āϝ āύāĻž āĻšāϞ⧇āĨ¤
135. 1.āĻ­āĻžāĻœā§āϝ= āĻ­āĻžāϜāĻ• × āĻ­āĻžāĻ—āĻĢāϞ + āĻ­āĻžāĻ—āĻļ⧇āώāĨ¤
136. 2.āĻ­āĻžāĻœā§āϝ= (āĻ­āĻžāĻœā§āĻ¯â€” āĻ­āĻžāĻ—āĻļ⧇āώ) Ãˇ āĻ­āĻžāĻ—āĻĢāϞāĨ¤
137. 3.āĻ­āĻžāĻ—āĻĢāϞ = (āĻ­āĻžāĻœā§āϝ — āĻ­āĻžāĻ—āĻļ⧇āώ)Ãˇ āĻ­āĻžāϜāĻ•āĨ¤
138. *āύāĻŋāσāĻļ⧇āώ⧇ āĻŦāĻŋāĻ­āĻžāĻœā§āϝ āĻšāϞ⧇āĨ¤
139. 4.āĻ­āĻžāϜāĻ•= āĻ­āĻžāĻœā§āĻ¯Ãˇ āĻ­āĻžāĻ—āĻĢāϞāĨ¤
140. 5.āĻ­āĻžāĻ—āĻĢāϞ = āĻ­āĻžāĻœā§āϝ Ãˇ āĻ­āĻžāϜāĻ•
141. 6.āĻ­āĻžāĻœā§āϝ = āĻ­āĻžāϜāĻ• × āĻ­āĻžāĻ—āĻĢāϞāĨ¤
142.📷āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ⧇āϰ āϞ.āϏāĻž.āϗ⧁ āĻ“ āĻ—.āϏāĻž.āϗ⧁ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāϞ⧀ 📷
143. 1.āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ⧇āϰ āĻ—.āϏāĻž.āϗ⧁ = āϞāĻŦāϗ⧁āϞāĻžā§‡āϰ āĻ—.āϏāĻž.āϗ⧁ / āĻšāϰāϗ⧁āϞāĻžā§‡āϰ āϞ.āϏāĻž.āϗ⧁
144. 2.āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ⧇āϰ āϞ.āϏāĻž.āϗ⧁ =āϞāĻŦāϗ⧁āϞāĻžā§‡āϰ āϞ.āϏāĻž.āϗ⧁ /āĻšāϰāϗ⧁āϞāĻžāϰ āĻ—.āϏāĻž.āϗ⧁
145. 3.āĻ­āĻ—ā§āύāĻžāĻ‚āĻļāĻĻā§āĻŦāϝāĻŧ⧇āϰ āϗ⧁āĻŖāĻĢāϞ = āĻ­āĻ—ā§āύāĻžāĻ‚āĻļāĻĻā§āĻŦāϝāĻŧ⧇āϰ āϞ.āϏāĻž.āϗ⧁ × āĻ­āĻ—ā§āύāĻžāĻ‚āĻļāĻĻā§āĻŦāϝāĻŧ⧇āϰ āĻ—.āϏāĻž.āϗ⧁.
146.📷āĻ—āĻĄāĻŧ āύāĻŋāĻ°ā§āĻŖāϝāĻŧ 📷
147. 1.āĻ—āĻĄāĻŧ = āϰāĻžāĻļāĻŋ āϏāĻŽāĻˇā§āϟāĻŋ /āϰāĻžāĻļāĻŋ āϏāĻ‚āĻ–ā§āϝāĻž
148. 2.āϰāĻžāĻļāĻŋāϰ āϏāĻŽāĻˇā§āϟāĻŋ = āĻ—āĻĄāĻŧ ×āϰāĻžāĻļāĻŋāϰ āϏāĻ‚āĻ–ā§āϝāĻž
149. 3.āϰāĻžāĻļāĻŋāϰ āϏāĻ‚āĻ–ā§āϝāĻž = āϰāĻžāĻļāĻŋāϰ āϏāĻŽāĻˇā§āϟāĻŋ Ãˇ āĻ—āĻĄāĻŧ
150. 4.āφāϝāĻŧ⧇āϰ āĻ—āĻĄāĻŧ = āĻŽāĻžā§‡āϟ āφāϝāĻŧ⧇āϰ āĻĒāϰāĻŋāĻŽāĻžāĻŖ / āĻŽāĻžā§‡āϟ āϞāĻžā§‡āϕ⧇āϰ āϏāĻ‚āĻ–ā§āϝāĻž
151. 5.āϏāĻ‚āĻ–ā§āϝāĻžāϰ āĻ—āĻĄāĻŧ = āϏāĻ‚āĻ–ā§āϝāĻžāϗ⧁āϞāĻžā§‡āϰ āϝāĻžā§‡āĻ—āĻĢāϞ /āϏāĻ‚āĻ–ā§āϝāĻžāϰ āĻĒāϰāĻŋāĻŽāĻžāύ āĻŦāĻž āϏāĻ‚āĻ–ā§āϝāĻž
152. 6.āĻ•ā§āϰāĻŽāĻŋāĻ• āϧāĻžāϰāĻžāϰ āĻ—āĻĄāĻŧ =āĻļ⧇āώ āĻĒāĻĻ +ā§§āĻŽ āĻĒāĻĻ /2
153. 📷📷āϏ⧁āĻĻāĻ•āώāĻžāϰ āĻĒāϰāĻŋāĻŽāĻžāύ āύāĻŋāĻ°ā§āύāϝāĻŧ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāĻ˛ā§€đŸ“ˇ
154. 1. āϏ⧁āĻĻ = (āϏ⧁āĻĻ⧇āϰ āĻšāĻžāĻ°Ã—āφāϏāĻ˛Ã—āϏāĻŽāϝāĻŧ) Ãˇā§§ā§Ļā§Ļ
155. 2. āϏāĻŽāϝāĻŧ = (100× āϏ⧁āĻĻ)Ãˇ (āφāϏāĻ˛Ã—āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ)
156. 3. āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ = (100×āϏ⧁āĻĻ)Ãˇ(āφāϏāĻ˛Ã—āϏāĻŽāϝāĻŧ)
157. 4. āφāϏāϞ = (100×āϏ⧁āĻĻ)Ãˇ(āϏāĻŽāϝāĻŧ×āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ)
158. 5. āφāϏāϞ = {100×(āϏ⧁āĻĻ-āĻŽā§‚āϞ)}Ãˇ(100+āϏ⧁āĻĻ⧇āϰ āĻšāĻžāĻ°Ã—āϏāĻŽāϝāĻŧ )
159. 6. āϏ⧁āĻĻāĻžāϏāϞ = āφāϏāϞ + āϏ⧁āĻĻ
160. 7. āϏ⧁āĻĻāĻžāϏāϞ = āφāϏāϞ ×(1+ āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ)× āϏāĻŽāϝāĻŧ |[āϚāĻ•ā§āϰāĻŦ⧃āĻĻā§āϧāĻŋ āϏ⧁āĻĻ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇]āĨ¤
161. 📷📷āϞāĻžāĻ­-āĻ•ā§āώāϤāĻŋāϰ āĻāĻŦāĻ‚ āĻ•ā§āϰāϝāĻŧ-āĻŦāĻŋāĻ•ā§āϰāϝāĻŧ⧇āϰ āϏ⧂āĻ¤ā§āϰāĻžāĻŦāĻ˛ā§€đŸ“ˇ
162. 1. āϞāĻžāĻ­ = āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ-āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ
163. 2.āĻ•ā§āώāϤāĻŋ = āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ-āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ
164. 3.āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ = āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ-āϞāĻžāĻ­
165. āĻ…āĻĨāĻŦāĻž
166. āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ = āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ + āĻ•ā§āώāϤāĻŋ
167. 4.āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ = āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ + āϞāĻžāĻ­
168. āĻ…āĻĨāĻŦāĻž
169. āĻŦāĻŋāĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ = āĻ•ā§āϰāϝāĻŧāĻŽā§‚āĻ˛ā§āϝ-āĻ•ā§āώāϤāĻŋ
📷📷1-100 āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻžāĻŽāύ⧇ āϰāĻžāĻ–āĻžāϰ āϏāĻšāϜ āωāĻĒāĻžāϝāĻŧāĻƒđŸ“ˇ
āĻļāĻ°ā§āϟāĻ•āĻžāϟ :- 44 -22 -322-321
★1āĻĨ⧇āϕ⧇100āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=25āϟāĻŋ
★1āĻĨ⧇āϕ⧇10āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=4āϟāĻŋ 2,3,5,7
★11āĻĨ⧇āϕ⧇20āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=4āϟāĻŋ 11,13,17,19
★21āĻĨ⧇āϕ⧇30āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 23,29
★31āĻĨ⧇āϕ⧇40āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 31,37
★41āĻĨ⧇āϕ⧇50āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=3āϟāĻŋ 41,43,47
★51āĻĨ⧇āϕ⧇ 60āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 53,59
★61āĻĨ⧇āϕ⧇70āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 61,67
★71āĻĨ⧇āϕ⧇80 āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=3āϟāĻŋ 71,73,79
★81āĻĨ⧇āϕ⧇ 90āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=2āϟāĻŋ 83,89
★91āĻĨ⧇āϕ⧇100āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž=1āϟāĻŋ 97
📷1-100 āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž 25 āϟāĻŋāσ
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97
📷1-100āĻĒāĻ°ā§āϝāĻ¨ā§āϤ āĻŽā§ŒāϞāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϝ⧋āĻ—āĻĢāϞ
1060āĨ¤
📷1.āϕ⧋āύ āĻ•āĻŋāϛ⧁āϰ
āĻ—āϤāĻŋāĻŦ⧇āĻ—= āĻ…āϤāĻŋāĻ•ā§āϰāĻžāĻ¨ā§āϤ āĻĻā§‚āϰāĻ¤ā§āĻŦ/āϏāĻŽāϝāĻŧ
2.āĻ…āϤāĻŋāĻ•ā§āϰāĻžāĻ¨ā§āϤ āĻĻā§‚āϰāĻ¤ā§āĻŦ = āĻ—āϤāĻŋāĻŦ⧇āĻ—Ã—āϏāĻŽāϝāĻŧ
3.āϏāĻŽāϝāĻŧ= āĻŽā§‹āϟ āĻĻā§‚āϰāĻ¤ā§āĻŦ/āĻŦ⧇āĻ—
4.āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻ•āĻžāĻ°ā§āϝāĻ•āϰ⧀ āĻ—āϤāĻŋāĻŦ⧇āĻ— = āύ⧌āĻ•āĻžāϰ āĻĒā§āϰāĻ•ā§ƒāϤ āĻ—āϤāĻŋāĻŦ⧇āĻ— + āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ—āϤāĻŋāĻŦ⧇āĻ—āĨ¤
5.āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻ•āĻžāĻ°ā§āϝāĻ•āϰ⧀ āĻ—āϤāĻŋāĻŦ⧇āĻ— = āύ⧌āĻ•āĻžāϰ āĻĒā§āϰāĻ•ā§ƒāϤ āĻ—āϤāĻŋāĻŦ⧇āĻ— - āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ—āϤāĻŋāĻŦ⧇āĻ—
📷āϏāϰāϞ āϏ⧁āĻĻ📷
āϝāĻĻāĻŋ āφāϏāϞ=P, āϏāĻŽāϝāĻŧ=T, āϏ⧁āĻĻ⧇āϰ āĻšāĻžāϰ=R, āϏ⧁āĻĻ-āφāϏāϞ=A āĻšāϝāĻŧ, āϤāĻžāĻšāϞ⧇
1.āϏ⧁āĻĻ⧇āϰ āĻĒāϰāĻŋāĻŽāĻžāĻŖ= PRT/100
2.āφāϏāϞ= 100×āϏ⧁āĻĻ-āφāϏāϞ(A)/100+TR
📷📷āύ⧌āĻ•āĻžāϰ āĻ—āϤāĻŋ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āϘāĻ¨ā§āϟāĻžāϝāĻŧ 10 āĻ•āĻŋ.āĻŽāĻŋ. āĻāĻŦāĻ‚ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ 2 āĻ•āĻŋ.āĻŽāĻŋ.āĨ¤ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻŦ⧇āĻ— āĻ•āϤ?
★āĻŸā§‡āĻ•āύāĻŋāĻ•-
āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻŦ⧇āĻ— = (āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ— - āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ—) /2
= (10 - 2)/2=
= 4 āĻ•āĻŋ.āĻŽāĻŋ.
📷āĻāĻ•āϟāĻŋ āύ⧌āĻ•āĻž āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āϘāĻ¨ā§āϟāĻžāϝāĻŧ 8 āĻ•āĻŋ.āĻŽāĻŋ.āĻāĻŦāĻ‚ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āϘāĻ¨ā§āϟāĻžāϝāĻŧ 4 āĻ•āĻŋ.āĻŽāĻŋ.
āϝāĻžāϝāĻŧāĨ¤ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ— āĻ•āϤ?
★ āĻŸā§‡āĻ•āύāĻŋāĻ•-
āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ— = (āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ—+āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ—)/2
= (8 + 4)/2
=6 āĻ•āĻŋ.āĻŽāĻŋ.
📷āύ⧌āĻ•āĻž āĻ“ āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻŦ⧇āĻ— āϘāĻ¨ā§āϟāĻžāϝāĻŧ āϝāĻĨāĻžāĻ•ā§āϰāĻŽā§‡ 10 āĻ•āĻŋ.āĻŽāĻŋ. āĻ“ 5 āĻ•āĻŋ.āĻŽāĻŋ.āĨ¤ āύāĻĻā§€āĻĒāĻĨ⧇ 45 āĻ•āĻŋ.āĻŽāĻŋ. āĻĒāĻĨ āĻāĻ•āĻŦāĻžāϰ āĻ—āĻŋāϝāĻŧ⧇ āĻĢāĻŋāϰ⧇ āφāϏāϤ⧇ āĻ•āϤ āϏāĻŽāϝāĻŧ āϞāĻžāĻ—āĻŦ⧇?
āĻŸā§‡āĻ•āύāĻŋāĻ•-
★āĻŽāĻžā§‡āϟ āϏāĻŽāϝāĻŧ = [(āĻŽāĻžā§‡āϟ āĻĻā§‚āϰāĻ¤ā§āĻŦ/ āĻ…āύ⧁āϕ⧂āϞ⧇ āĻŦ⧇āĻ—) + (āĻŽāĻžā§‡āϟ āĻĻā§‚āϰāĻ¤ā§āĻŦ/āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āĻŦ⧇āĻ—)]
āωāĻ¤ā§āϤāϰ:āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻ…āύ⧁āϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰāĻŦ⧇āĻ— = (10+5) = 15 āĻ•āĻŋ.āĻŽāĻŋ.
āĻ¸ā§āϰ⧋āϤ⧇āϰ āĻĒā§āϰāϤāĻŋāϕ⧂āϞ⧇ āύ⧌āĻ•āĻžāϰ āĻŦ⧇āĻ— = (10-5) = 5āĻ•āĻŋ.āĻŽāĻŋ.
[(45/15) +(45/5)]
= 3+9
=12 āϘāĻ¨ā§āϟāĻž
📷★āϏāĻŽāĻžāĻ¨ā§āϤāϰ āϧāĻžāϰāĻžāϰ āĻ•ā§āϰāĻŽāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϝ⧋āĻ—āĻĢāϞ-
(āϝāĻ–āύ āϏāĻ‚āĻ–ā§āϝāĻžāϟāĻŋ1 āĻĨ⧇āϕ⧇ āĻļ⧁āϰ⧁)1+2+3+4+......+n āĻšāϞ⧇ āĻāϰ⧂āĻĒ āϧāĻžāϰāĻžāϰ āϏāĻŽāĻˇā§āϟāĻŋ= [n(n+1)/2]
n=āĻļ⧇āώ āϏāĻ‚āĻ–ā§āϝāĻž āĻŦāĻž āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻž s=āϝ⧋āĻ—āĻĢāϞ
📷 āĻĒā§āϰāĻļā§āύāσ 1+2+3+....+100 =?
📷 āϏāĻŽāĻžāϧāĻžāύāσ[n(n+1)/2]
= [100(100+1)/2]
= 5050
📷★āϏāĻŽāĻžāĻ¨ā§āϤāϰ āϧāĻžāϰāĻžāϰ āĻŦāĻ°ā§āĻ— āϝ⧋āĻ— āĻĒāĻĻā§āϧāϤāĻŋāϰ āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇,-
āĻĒā§āϰāĻĨāĻŽ n āĻĒāĻĻ⧇āϰ āĻŦāĻ°ā§āϗ⧇āϰ āϏāĻŽāĻˇā§āϟāĻŋ
S= [n(n+1)2n+1)/6]
(āϝāĻ–āύ 1² + 2²+ 3² + 4²........ +n²)
📷āĻĒā§āϰāĻļā§āύāσ(1² + 3²+ 5² + ....... +31²) āϏāĻŽāĻžāύ āĻ•āϤ?
📷āϏāĻŽāĻžāϧāĻžāύāσ S=[n(n+1)2n+1)/6]
= [31(31+1)2×31+1)/6]
=31
📷★āϏāĻŽāĻžāĻ¨ā§āϤāϰ āϧāĻžāϰāĻžāϰ āϘāύāϝ⧋āĻ— āĻĒāĻĻā§āϧāϤāĻŋāϰ āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇-
āĻĒā§āϰāĻĨāĻŽ n āĻĒāĻĻ⧇āϰ āϘāύ⧇āϰ āϏāĻŽāĻˇā§āϟāĻŋ S= [n(n+1)/2]2
(āϝāĻ–āύ 1Âŗ+2Âŗ+3Âŗ+.............+nÂŗ)
📷āĻĒā§āϰāĻļā§āύāσ1Âŗ+2Âŗ+3Âŗ+4Âŗ+â€Ļâ€Ļâ€Ļâ€Ļ+10Âŗ=?
📷āϏāĻŽāĻžāϧāĻžāύāσ [n(n+1)/2]2
= [10(10+1)/2]2
= 3025
📷★āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻž āĻ“ āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϏāĻŽāĻˇā§āϟāĻŋ āύāĻŋāĻ°ā§āύāϝāĻŧ⧇āϰ āĻ•ā§āώ⧇āĻ¤ā§āϰ⧇āσ
āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻž N= [(āĻļ⧇āώ āĻĒāĻĻ â€“ āĻĒā§āϰāĻĨāĻŽ āĻĒāĻĻ)/āĻĒā§āϰāϤāĻŋ āĻĒāĻĻ⧇ āĻŦ⧃āĻĻā§āϧāĻŋ] +1
📷āĻĒā§āϰāĻļā§āύāσ5+10+15+â€Ļâ€Ļâ€Ļâ€Ļ+50=?
📷āϏāĻŽāĻžāϧāĻžāύāσ āĻĒāĻĻāϏāĻ‚āĻ–ā§āϝāĻž = [(āĻļ⧇āώ āĻĒāĻĻ â€“ āĻĒā§āϰāĻĨāĻŽāĻĒāĻĻ)/āĻĒā§āϰāϤāĻŋ āĻĒāĻĻ⧇ āĻŦ⧃āĻĻā§āϧāĻŋ]+1
= [(50 – 5)/5] + 1
=10
āϏ⧁āϤāϰāĻžāĻ‚ āĻĒāĻĻ āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϏāĻŽāĻˇā§āϟāĻŋ
= [(5 + 50)/2] ×10
= 275
📷★ n āϤāĻŽ āĻĒāĻĻ=a + (n-1)d
āĻāĻ–āĻžāύ⧇, n =āĻĒāĻĻāϏāĻ‚āĻ–ā§āϝāĻž, a = 1āĻŽ āĻĒāĻĻ, d= āϏāĻžāϧāĻžāϰāĻŖ āĻ…āĻ¨ā§āϤāϰ
📷āĻĒā§āϰāĻļā§āύāσ 5+8+11+14+.......āϧāĻžāϰāĻžāϟāĻŋāϰ āϕ⧋āύ āĻĒāĻĻ 302?
📷 āϏāĻŽāĻžāϧāĻžāύāσ āϧāϰāĻŋ, n āϤāĻŽ āĻĒāĻĻ =302
āĻŦāĻž, a + (n-1)d=302
āĻŦāĻž, 5+(n-1)3 =302
āĻŦāĻž, 3n=300
āĻŦāĻž, n=100
📷★6)āϏāĻŽāĻžāĻ¨ā§āϤāϰ āϧāĻžāϰāĻžāϰ āĻ•ā§āϰāĻŽāĻŋāĻ• āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻžāϰ āϝ⧋āĻ—āĻĢāϞ-S=M² āĻāĻ–āĻžāύ⧇,M=āĻŽāĻ§ā§āϝ⧇āĻŽāĻž=(1āĻŽ āϏāĻ‚āĻ–ā§āϝāĻž+āĻļ⧇āώ āϏāĻ‚āĻ–ā§āϝāĻž)/2
📷āĻĒā§āϰāĻļā§āύāσ1+3+5+.......+19=āĻ•āϤ?
📷 āϏāĻŽāĻžāϧāĻžāύāσ S=M²
={(1+19)/2}²
=(20/2)²
=100
â¤ī¸
📷📷1. āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž + āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž = āĻœā§‹āĻĄāĻŧ
āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 2 + 6 = 8.
📷2. āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž + āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž =
āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 6 + 7 = 13.
📷3. āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž + āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž =
āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 3 + 5 = 8.
📷4. āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž × āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž = āĻœā§‹āĻĄāĻŧ
āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 6 × 8 = 48.
📷5.āĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž × āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž = āĻœā§‹āĻĄāĻŧ
āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 6 × 7 = 42
📷6.āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž × āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻž =
āĻŦāĻŋāĻœā§‹āĻĄāĻŧ āϏāĻ‚āĻ–ā§āϝāĻžāĨ¤
āϝ⧇āĻŽāύāσ 3 × 9 = 27
📝.. āϝāĻžāϰāĻž āĻšāĻŋāϏāĻžāĻŦ āϜāĻžāύ⧇āύ āύāĻžāĨ¤
1 āĻĢ⧁āϟ = 12 āχāĻžā§āϚāĻŋ
1 āĻ—āϜ = 3 āĻĢ⧁āϟ
1 āĻŽāĻžāχāϞ = ā§§ā§­ā§Ŧā§Ļ āĻ—āϜ
1 āĻŽāĻžāχāϞ ≈ 1.61 āĻ•āĻŋāϞ⧋āĻŽāĻŋāϟāĻžāϰ
1 āχāĻžā§āϚāĻŋ = 2.54 āϏ⧇āĻ¨ā§āϟāĻŋāĻŽāĻŋāϟāĻžāϰ
1 āĻĢ⧁āϟ = 0.3048 āĻŽāĻŋāϟāĻžāϰ
1 āĻŽāĻŋāϟāĻžāϰ = 1,000 āĻŽāĻŋāϞāĻŋāĻŽāĻŋāϟāĻžāϰ
1 āĻŽāĻŋāϟāĻžāϰ = 100 āϏ⧇āĻ¨ā§āϟāĻŋāĻŽāĻŋāϟāĻžāϰ
1 āĻ•āĻŋāϞ⧋āĻŽāĻŋāϟāĻžāϰ = 1,000 āĻŽāĻŋāϟāĻžāϰ
1 āĻ•āĻŋāϞ⧋āĻŽāĻŋāϟāĻžāϰ ≈ 0.62 āĻŽāĻžāχāϞ
📝āĻ•ā§āώ⧇āĻ¤ā§āϰāσ
1 āĻŦāĻ°ā§āĻ— āĻĢ⧁āϟ = 144 āĻŦāĻ°ā§āĻ— āχāĻžā§āϚāĻŋ
1 āĻŦāĻ°ā§āĻ— āĻ—āϜ = 9 āĻŦāĻ°ā§āĻ— āĻĢ⧁āϟ
1 āĻāĻ•āϰ = 43560 āĻŦāĻ°ā§āĻ— āĻĢ⧁āϟ
📝 āφāϝāĻŧāϤāύāσ
1 āϞāĻŋāϟāĻžāϰ ≈ 0.264 āĻ—ā§āϝāĻžāϞāύ
1 āϘāύ āĻĢ⧁āϟ = 1.728 āϘāύ āχāĻžā§āϚāĻŋ
1 āϘāύ āĻ—āϜ = 27 āϘāύ āĻĢ⧁āϟ
📝 āĻ“āϜāύāσ
1 āφāωāĻ¨ā§āϏ ≈ 28.350 āĻ—ā§āϰāĻžāĻŽ
1 cvDÛ= 16 āφāωāĻ¨ā§āϏ
1 cvDÛ ≈ 453.592 āĻ—ā§āϰāĻžāĻŽ
1 āĻāĻ• āĻ—ā§āϰāĻžāĻŽā§‡āϰ āĻāĻ°ā§āĻ•āϏāĻšāĻ¸ā§āϰāĻžāĻ‚āĻļ = 0.001āĻ—ā§āϰāĻžāĻŽ
1 āĻ•āĻŋāϞ⧋āĻ—ā§āϰāĻžāĻŽ = 1,000 āĻ—ā§āϰāĻžāĻŽ
1 āĻ•āĻŋāϞ⧋āĻ—ā§āϰāĻžāĻŽ ≈ 2.2 āĻĒāĻžāωāĻ¨ā§āĻĄ
1 āϟāύ = 2,200 āĻĒāĻžāωāĻ¨ā§āĻĄ
📝āϝāĻžāϰāĻž āĻŽāĻŋāϞāĻŋāϝāĻŧāύ, āĻŦāĻŋāϞāĻŋāϝāĻŧāύ, āĻŸā§āϰāĻŋāϞāĻŋāϝāĻŧāύ āĻšāĻŋāϏāĻžāĻŦ āϜāĻžāύ⧇āύ āύāĻžāĨ¤
ā§§ āĻŽāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ā§Ļ āϞāĻ•ā§āώ
ā§§ā§Ļ āĻŽāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ āϕ⧋āϟāĻŋ
ā§§ā§Ļā§Ļ āĻŽāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ā§Ļ āϕ⧋āϟāĻŋ
ā§§,ā§Ļā§Ļā§Ļ āĻŽāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ā§Ļā§Ļ āϕ⧋āϟāĻŋ
āφāĻŦāĻžāϰ,
ā§§,ā§Ļā§Ļā§Ļ āĻŽāĻŋāϞāĻŋāϝāĻŧāύ= ā§§ āĻŦāĻŋāϞāĻŋāϝāĻŧāύ
ā§§ āĻŦāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ā§Ļā§Ļ āϕ⧋āϟāĻŋ
ā§§ā§Ļ āĻŦāĻŋāϞāĻŋāϝāĻŧāύ=ā§§,ā§Ļā§Ļā§Ļ āϕ⧋āϟāĻŋ
ā§§ā§Ļā§Ļ āĻŦāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ā§Ļ,ā§Ļā§Ļā§Ļ āϕ⧋āϟāĻŋ
ā§§,ā§Ļā§Ļā§Ļ āĻŦāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ āϞāĻ•ā§āώ āϕ⧋āϟāĻŋ
āφāĻŦāĻžāϰ,
ā§§,ā§Ļā§Ļā§Ļ āĻŦāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ āĻŸā§āϰāĻŋāϞāĻŋāϝāĻŧāύ
ā§§ āĻŸā§āϰāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ āϞāĻ•ā§āώ āϕ⧋āϟāĻŋ
ā§§ā§Ļ āĻŸā§āϰāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ā§Ļ āϞāĻ•ā§āώ āϕ⧋āϟāĻŋ
ā§§ā§Ļā§Ļ āĻŸā§āϰāĻŋāϞāĻŋāϝāĻŧāύ=ā§§ā§Ļā§Ļ āϞāĻ•ā§āώ āϕ⧋āϟāĻŋ
ā§§,ā§Ļā§Ļā§Ļ āĻŸā§āϰāĻŋāϞāĻŋāϝāĻŧāύ=ā§§,ā§Ļā§Ļā§Ļ āϞāĻ•ā§āώ āϕ⧋āϟāĻŋāĨ¤
ā§§ āϕ⧁āĻĄāĻŧāĻŋ = ⧍ā§ĻāϟāĻŋ
ā§§ āϰāĻŋāĻŽ = ⧍ā§Ļ āĻĻāĻŋāĻ¸ā§āϤāĻž = ā§Ģā§Ļā§Ļ āϤāĻž
ā§§ āĻ­āϰāĻŋ = ā§§ā§Ŧ āφāύāĻž ;
ā§§ āφāύāĻž = ā§Ŧ āϰāϤāĻŋ
ā§§ āĻ—āϜ = ā§Š āĻĢ⧁āϟ = ⧍ āĻšāĻžāϤ
ā§§ āϕ⧇āϜāĻŋ = ā§§ā§Ļā§Ļā§Ļ āĻ—ā§āϰāĻžāĻŽ
ā§§ āϕ⧁āχāĻ¨ā§āϟāĻžāϞ = ā§§ā§Ļā§Ļ āϕ⧇āϜāĻŋ
ā§§ āĻŽā§‡āĻŸā§āϰāĻŋāĻ• āϟāύ = ā§§ā§Ļ āϕ⧁āχāĻ¨ā§āϟāĻžāϞ = ā§§ā§Ļā§Ļā§Ļ āϕ⧇āϜāĻŋ ā§§ āϞāĻŋāϟāĻžāϰ
= ā§§ā§Ļā§Ļā§Ļ āϏāĻŋāϏāĻŋ
ā§§ āĻŽāĻŖ = ā§Ēā§Ļ āϏ⧇āϰ
ā§§ āĻŦāĻŋāϘāĻž = ⧍ā§Ļ āĻ•āĻžāĻ āĻž( ā§Šā§Š āĻļāϤāĻžāĻ‚āĻļ) ;
ā§§ āĻ•āĻžāĻ āĻž = ⧭⧍ā§Ļ āĻŦāĻ°ā§āĻ—āĻĢ⧁āϟ (ā§Žā§Ļ āĻŦāĻ°ā§āĻ— āĻ—āϜ) 1 āĻŽāĻŋāϞāĻŋāϝāĻŧāύ = 10 āϞāĻ•ā§āώ
1 āĻŽāĻžāχāϞ = 1.61 āĻ•āĻŋ.āĻŽāĻŋ ;
1 āĻ•āĻŋ.āĻŽāĻŋ. = 0..62
1 āχāĻžā§āϚāĻŋ = 2.54 āϏ⧇..āĻŽāĻŋ ;
1 āĻŽāĻŋāϟāĻžāϰ = 39.37 āχāĻžā§āϚāĻŋ
1 āϕ⧇.āϜāĻŋ = 2.20 āĻĒāĻžāωāĻ¨ā§āĻĄ ;
1 āϏ⧇āϰ = 0.93 āĻ•āĻŋāϞ⧋āĻ—ā§āϰāĻžāĻŽ
1 āĻŽā§‡. āϟāύ = 1000 āĻ•āĻŋāϞ⧋āĻ—ā§āϰāĻžāĻŽ ;
1 āĻĒāĻžāωāĻ¨ā§āĻĄ = 16 āφāωāĻ¨ā§āϏ
1 āĻ—āϜ= 3 āĻĢ⧁āϟ ;
1 āĻāĻ•āϰ = 100 āĻļāϤāĻ•
1 āĻŦāĻ°ā§āĻ— āĻ•āĻŋ.āĻŽāĻŋ.= 247 āĻāĻ•āϰ
āĻĒā§āϰāĻļā§āύāσ ā§§ āĻ•āĻŋāĻŽāĻŋ āϏāĻŽāĻžāύ āĻ•āϤ āĻŽāĻžāχāϞ ?
āωāĻ¤ā§āϤāϰāσ ā§Ļ.ā§Ŧ⧍ āĻŽāĻžāχāϞāĨ¤
āĻĒā§āϰāĻļā§āύāσ ā§§ āύ⧇āϟāĻŋāĻ•ā§āϝāĻžāϞ āĻŽāĻžāχāϞ⧇ āĻ•āϤ āĻŽāĻŋāϟāĻžāϰ ?
āωāĻ¤ā§āϤāϰāσ ā§§ā§Žā§Ģā§Š.ā§¨ā§Ž āĻŽāĻŋāϟāĻžāϰāĨ¤
āĻĒā§āϰāĻļā§āύāσ āϏāĻŽā§āĻĻā§āϰ⧇āϰ āĻĒāĻžāύāĻŋāϰ āĻ—āĻ­ā§€āϰāϤāĻž āĻŽāĻžāĻĒāĻžāϰ
āĻāĻ•āĻ• ?
āωāĻ¤ā§āϤāϰāσ āĻĢā§āϝāĻžāĻĻāĻŽāĨ¤
āĻĒā§āϰāĻļā§āύāσ ā§§.ā§Ģ āχāĻžā§āϚāĻŋ ā§§ āĻĢ⧁āĻŸā§‡āϰ āĻ•āϤ āĻ…āĻ‚āĻļ?
āωāĻ¤ā§āϤāϰāσ ā§§/ā§Ž āĻ…āĻ‚āĻļāĨ¤
ā§§āĻŽāĻžāχāϞ =ā§§ā§­ā§Ŧā§Ļ āĻ—āϜāĨ¤]
āĻĒā§āϰāĻļā§āύāσ āĻāĻ• āĻŦāĻ°ā§āĻ— āĻ•āĻŋāϞ⧋āĻŽāĻŋāϟāĻžāϰ āĻ•āϤ āĻāĻ•āϰ?
āωāĻ¤ā§āϤāϰāσ ⧍ā§Ēā§­ āĻāĻ•āϰāĨ¤
āĻĒā§āϰāĻļā§āύāσ āĻāĻ•āϟāĻŋ āϜāĻŽāĻŋāϰ āĻĒāϰāĻŋāĻŽāĻžāύ ā§Ģ āĻ•āĻžāĻ āĻž āĻšāϞ⧇,
āϤāĻž āĻ•āϤ āĻŦāĻ°ā§āĻ—āĻĢ⧁āϟ āĻšāĻŦ⧇?
āωāĻ¤ā§āϤāϰāσ ā§Šā§Ŧā§Ļā§Ļ āĻŦāĻ°ā§āĻ—āĻĢ⧁āϟāĨ¤
āĻĒā§āϰāĻļā§āύāσ āĻāĻ• āĻŦāĻ°ā§āĻ— āχāĻžā§āϚāĻŋāϤ⧇ āĻ•āϤ āĻŦāĻ°ā§āĻ—
āϏ⧇āĻ¨ā§āϟāĻŋāĻŽāĻŋāϟāĻžāϰ?
āωāĻ¤ā§āϤāϰāσ ā§Ŧ.ā§Ēā§Ģ āϏ⧇āĻ¨ā§āϟāĻŋāĻŽāĻŋāϟāĻžāϰāĨ¤
āĻĒā§āϰāĻļā§āύāσ ā§§ āϘāύ āĻŽāĻŋāϟāĻžāϰ = āĻ•āϤ āϞāĻŋāϟāĻžāϰ?
āωāĻ¤ā§āϤāϰāσ ā§§ā§Ļā§Ļā§Ļ āϞāĻŋāϟāĻžāϰāĨ¤
āĻĒā§āϰāĻļā§āύāσ āĻāĻ• āĻ—ā§āϝāĻžāϞāύ⧇ āĻ•āϝāĻŧ āϞāĻŋāϟāĻžāϰ?
āωāĻ¤ā§āϤāϰāσ ā§Ē.ā§Ģā§Ģ āϞāĻŋāϟāĻžāϰāĨ¤
āĻĒā§āϰāĻļā§āύāσ ā§§ āϏ⧇āϰ āϏāĻŽāĻžāύ āĻ•āϤ āϕ⧇āϜāĻŋ?
āωāĻ¤ā§āϤāϰāσ ā§Ļ.ā§¯ā§Š āϕ⧇āϜāĻŋāĨ¤
āĻĒā§āϰāĻļā§āύāσ ā§§ āĻŽāϪ⧇ āĻ•āϤ āϕ⧇āϜāĻŋ?
āωāĻ¤ā§āϤāϰāσ ā§Šā§­.ā§Šā§¨ āϕ⧇āϜāĻŋāĨ¤
āĻĒā§āϰāĻļā§āύāσ ā§§ āϟāύ⧇ āĻ•āϤ āϕ⧇āϜāĻŋ?
āωāĻ¤ā§āϤāϰāσ ā§§ā§Ļā§Ļā§Ļ āϕ⧇āϜāĻŋāĨ¤
āĻĒā§āϰāĻļā§āύāσ ā§§ āϕ⧇āϜāĻŋāϤ⧇ āĻ•āϤ āĻĒāĻžāωāĻ¨ā§āĻĄ??
āωāĻ¤ā§āϤāϰāσ ⧍.⧍ā§Ļā§Ē āĻĒāĻžāωāĻ¨ā§āĻĄāĨ¤
āĻĒā§āϰāĻļā§āύāσ ā§§ āϕ⧁āχāĻ¨ā§āϟāĻžāϞ⧇ āĻ•āϤ āϕ⧇āϜāĻŋ?
āωāĻ¤ā§āϤāϰāσ ā§§ā§Ļā§Ļāϕ⧇āϜāĻŋāĨ¤
British & U.S British U.S
1 gallons = 4.5434 litres = 4.404
litres
2 gallons = 1 peck = 9.8070 litres
= 8.810 litres
📝āĻ•ā§āϝāĻžāϰ⧇āϟ āĻ•āĻŋ?.
āωāĻ¤ā§āϤāϰāσ āĻŽā§‚āĻ˛ā§āϝāĻŦāĻžāύ āĻĒāĻžāĻĨāϰ āĻ“ āϧāĻžāϤ⧁āϏāĻžāĻŽāĻ—ā§āϰ⧀
āĻĒāϰāĻŋāĻŽāĻžāĻĒ⧇āϰ āĻāĻ•āĻ• āĻ•ā§āϝāĻžāϰ⧇āϟ āĨ¤
1 āĻ•ā§āϝāĻžāϰ⧇āϟ = 2 āĻ—ā§āϰāĻžāĻŽ
📝āĻŦ⧇āϞ āĻ•āĻŋ?
āωāĻ¤ā§āϤāϰāσ āĻĒāĻžāϟ āĻŦāĻž āϤ⧁āϞāĻž āĻĒāϰāĻŋāĻŽāĻžāĻĒ⧇āϰ āϏāĻŽāϝāĻŧ ‘āĻŦ⧇āĻ˛â€™
āĻāĻ•āĻ• āĻšāĻŋāϏāĻžāĻŦ⧇ āĻŦā§āϝāĻŦāĻšā§ƒāϤ āĻšāϝāĻŧ āĨ¤
1 āĻŦ⧇āϞ = 3.5 āĻŽāĻŖ (āĻĒā§āϰāĻžāϝāĻŧ) āĨ¤
āϏ⧂āĻ•ā§āĻˇā§āĻŖāϕ⧋āĻŖ : āĻāĻ• āϏāĻŽāϕ⧋āĻŖ (⧝ā§ĻÂē) āĻ…āĻĒ⧇āĻ•ā§āώāĻž āϛ⧋āϟ
āϕ⧋āĻŖāϕ⧇ āϏ⧂āĻ•ā§āĻˇā§āĻŖāϕ⧋āĻŖ āĻŦāϞ⧇āĨ¤
ā§Ļā§Š. āĻ¸ā§āĻĨ⧁āϞāϕ⧋āĻŖ : ⧝ā§ĻÂē āĻ…āĻĒ⧇āĻ•ā§āώāĻž āĻŦāĻĄāĻŧ āĻ•āĻŋāĻ¨ā§āϤ⧁!

āĻ­āĻžāώāĻž āϏ⧇āϤ⧋ āĻŽāĻžāϝāĻŧ⧇āϰ āĻŦ⧁āϞāĻŋāĻĒā§āϰāĻžāϪ⧇āϰ āĻšā§‡āϝāĻŧ⧇āĻ“ āĻĒā§āϰāĻŋāϝāĻŧ āϜāĻžāύāĻŋāϝ⧇ āĻ­āĻžāώāĻžāϤ⧇ āĻĒā§āϰāĻžāĻŖ āϜ⧁āĻĄāĻŧāĻžāϞāϏāĻŦāĻžāϰ āϏ⧁āϖ⧇āϰ āϤ⧃āĻˇā§āĻŖ āĻŽāĻŋāĻ āĻžāϞ⧋āϏ⧇āχāϤ⧋ āĻŽā§‹āĻĻ⧇āϰ āĻŽāϧ⧁āϰ āĻ­āĻžāώāĻžāĻŽāĻžāϝāĻŧ⧇āϰ ...
20/02/2022

āĻ­āĻžāώāĻž āϏ⧇āϤ⧋ āĻŽāĻžāϝāĻŧ⧇āϰ āĻŦ⧁āϞāĻŋ
āĻĒā§āϰāĻžāϪ⧇āϰ āĻšā§‡āϝāĻŧ⧇āĻ“ āĻĒā§āϰāĻŋāϝāĻŧ āϜāĻžāύāĻŋ
āϝ⧇ āĻ­āĻžāώāĻžāϤ⧇ āĻĒā§āϰāĻžāĻŖ āϜ⧁āĻĄāĻŧāĻžāϞ
āϏāĻŦāĻžāϰ āϏ⧁āϖ⧇āϰ āϤ⧃āĻˇā§āĻŖ āĻŽāĻŋāĻ āĻžāϞ⧋
āϏ⧇āχāϤ⧋ āĻŽā§‹āĻĻ⧇āϰ āĻŽāϧ⧁āϰ āĻ­āĻžāώāĻž
āĻŽāĻžāϝāĻŧ⧇āϰ āĻ­āĻžāώāĻž āĻŦāĻžāĻ‚āϞāĻž āĻ­āĻžāώāĻžāĨ¤

#āĻ…āĻŽāϰāĻāϕ⧁āĻļ⧇ #āĻ•āϞāĻŋ⧟āĻž āĻĒāĻžāĻŦāϞāĻŋāĻ• āωāĻšā§āϚ āĻŦāĻŋāĻĻā§āϝāĻžāϞ⧟āĨ¤

āĻ…āĻ­āĻŋāύāĻ¨ā§āĻĻāύ āϏāĻŦāĻžāχāϕ⧇āĨ¤
30/12/2021

āĻ…āĻ­āĻŋāύāĻ¨ā§āĻĻāύ āϏāĻŦāĻžāχāϕ⧇āĨ¤

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