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MATH
Chapter # 1 :-
Important Definitions : (1)*Complex Number (2)Rational Number (3)Irrational Number
Important Examples : Ex #6(v)* (Pg #10)
Exercise 1.1 : Q #1(iii, iv), Q #4(i), Q #5, Q #6(i)
Exercise 1.2 : Q #4(ii, iii), Q #5(iii), Q #11*, Q #14(iii), Q #15(ii), Q #16(i)
Exercise 1.3 : Q #2(i, iv*), Q #3(iii), Q #4, Q #5(ii,iv), Q #6(i,ii)
_-_Theorems : (iii*, iv) (Pg #21)
_-_Associative Law Of Addition and Multiplication (Pg #6,7)
_-_Commutative Law Of Addition and Multiplication (Pg #6,7)

Chapter # 2 :-
Important Definitions : (1)Equal and Equivalent Set (2)*Singleton Set and Null Set (3)Finite and Infinite Set (4)*Tautology and Absurdity (5)Onto Function and Bijective Function (6)Binary Operation (7)*Semi-Group and Monoid
Important Examples : Ex #4 (Pg #53)
Exercise 2.1 : Q #6, Q #9(ii)*
Exercise 2.2 : Q #4 (iv, v, vi)
Exercise 2.3 : Q #7 (iii)*
Exercise 2.4 : Q #1(iii), Q #2(ii), Q #3(ii), Q #4(iii)
Exercise 2.6 : Q #1(ii, iv*), Q #4(ii*, iii)
_-_Distributive Property Of Union over Intersection (Pg #42)
_-_Distributive Property Of Intersection over Union (Pg #42)
_-_De Morgan’s Law (Pg #42)

Chapter # 3 :-
Important Definitions : (1)*Rank of a Matrix (2)*Scalar Matrix and Unit Matrix (3)Symmetric Matrix (4)*Skew-Symmetric Matrix (5)Hermitian Matrix (6)Diagonal Matrix
Exercise 3.1 : Q #2, Q #3(i), Q #8, Q #10
Exercise 3.2 : Q #2(iii), Q #4(ii), Q #6(i, iii)
Exercise 3.3 : Q #1(ii), Q #2(ii), Q #3(ii, iv), Q #5(i*, ii), Q #6(iii)*
Exercise 3.4 : Q #2(i*, ii), Q #4*, Q #6(i*, ii)

Chapter # 4 :-
Important Definitions : (1)*Quadratic Equation (2)Exponential Equation (3)Reciprocal Equation (4)*Radical Equation
Important Examples : Ex #3* (Pg #144), Ex #3 (Pg #158)
Exercise 4.1 : Q #5*, Q #7, Q #11*, Q #17*, Q #20
Exercise 4.2 : Q #5*, Q #11, Q #14*, Q #16, Q #17*, Q #21
Exercise 4.4 : Q #1(iv), Q #2(ii, v), Q #3(i), Q #6, Q #8(i, iii*)
Exercise 4.5 : Q #2*, Q #5, Q #10*
Exercise 4.6 : Q #1(iv, vi*), Q #2*, Q #4, Q #7(iv*, vii)
Exercise 4.7 : Q #1(iii), Q #2(i), Q #3(i, ii)
Exercise 4.8 : Q #2*

Chapter # 5 :-
Important Definitions : (1)Rational Fraction (2)*Proper and Improper Rational Fraction
Important Examples : Ex #1* (Pg #184)
Exercise 5.1 : Q #1*, Q #2, Q #3*, Q #6
Exercise 5.2 : Q #1*, Q #3
Exercise 5.3 : Q #2*

Chapter # 6 :-
Important Examples : Ex #2 (Pg #193)
Exercise 6.1 : Q #1(vii), Q #3(iii)*
Exercise 6.2 : Q #2*, Q #4, Q #6*, Q #9*, Q #13*, Q #14
Exercise 6.3 : Q #1(iii), Q #2, Q #6
Exercise 6.4 : Q #3(i), Q #6, Q #7, Q #14, Q #17, Q #18*
Exercise 6.6 : Q #3*, Q #9*, Q #10*, Q #11,
Exercise 6.7 : Q #1(ii), Q #2(i), Q #7, Q #8
Exercise 6.8 : Q #2(i), Q #4, Q #9, Q #14
Exercise 6.10 : Q #1(i), Q #4(iii), Q #7, Q #11*, Q #13(iii), Q #16*
Exercise 6.11 : Q #4*, Q #12*, Q #16(ii)*

Chapter # 7 :-
Important Definitions : (1)Permutation (2)*Circular Permutation (3)Probability
Important Examples : Ex #1,2* (Pg #234), Ex #1 (Pg #237), Ex #3* (Pg #238), Ex #2 (Pg #250)
Exercise 7.1 : Q #1(x), Q #2(v, viii, ix)
Exercise 7.2 : Q #2(ii, iii*), Q #3(i), Q #4, Q #6(i), Q #14
Exercise 7.3 : Q #1(i, ii, iv*), Q #4*, Q #11*, Q #12
Exercise 7.4 : Q #2(iii), Q #4[(For a : i, ii) (For b : i*, iii*)], Q #5, Q #8*
Exercise 7.5 : Q #2*, Q #5(i)
Exercise 7.7 : Q #1*, Q #4, Q #5*
Exercise 7.8 : Q #9*
_-_Prove that : nPn = n!

Chapter # 8 :-
Important Examples : Ex #3(ii)* (Pg #269)
Exercise 8.2 : Q #1(iv), Q #2(i, ii*), Q #6(i)* , Q #10(i)
Exercise 8.3 : Q #1(i*, ii, v), Q #2(i, v*), Q #4(i), Q #6
_-_Write down expression of binomial theorem

Chapter # 9 :-
Important Definitions : (1)*Radian (2)*Quadrantel Angle
Exercise 9.1 : Q #1(x, xiii), Q #3, Q #5(ii), Q #6(i), Q #9
Exercise 9.2 : Q #5*, Q #6
Exercise 9.3 : Q #1(ii*, iii), Q #2(ii), Q #3[ (For a : iii) (For b : ii)]
Exercise 9.4 : Q #5*, Q #9*, Q #12, Q #14, Q #20*

Chapter # 10 :-
Important Examples : Ex #2(ii) (Pg #320), Ex #3* (Pg #323), Ex #3 (Pg #335)
Exercise 10.1 : Q #2(ii), Q #3(i), Q #5(ii,iv)
Exercise 10.2 : Q #1(v*,vii), Q #2(iii), Q #4(ii, v), Q #5*
Exercise 10.3 : Q #1(i), Q #3*, Q #4, Q #10*
Exercise 10.4 : Q #1(v, vii*), Q #2(ii, iv*, vi), Q #3(i)

Chapter # 11 :-
Important Definitions : (1)* Period
Exercise 11.1 : Q #3, Q #4, Q #8*, Q #11*, Q #13, Q #15*
Find Domain and Range Of : (1)*y=sec x (2)*y=tan x (3)y=cos x (4)*y=cosec x

Chapter # 12 :-
Important Definitions : (1)*Angle of Elevation (2)*Angle of Depression (3)Oblique Triangle
Important Examples : Ex #1 (Pg #375)*, Ex #1(i) (Pg #381)
Exercise 12.2 : Q #7
Exercise 12.3 : Q #3*, Q #6
Exercise 12.4 : Q #4
Exercise 12.5 : Q #11*
Exercise 12.6 : Q #7, Q #8*
Exercise 12.7 : Q #3(i)*, Q #4
Exercise 12.8 : Q #5(ii), Q #12(i)

Chapter # 13 :-
Important Examples : Ex #1(ii)* (Pg #388), Ex #4 (Pg #396), Ex #2(i, ii) (Pg #390)
Exercise 13.1 : Q #1(iv), Q #2(i, iii), Q #3(vii)*
Exercise 13.2 : Q #2*, Q #20

Chapter #14 :-
Important Definitions : (1)*Trigonometric Equation
Important Examples : Ex #1* (Pg #401), Ex #3 (Pg #402), Ex #1 (Pg #403), Ex #2* (Pg #403), Ex #3* (Pg #404)
Exercise 14 : Q #1(iii), Q #2(iii), Q #16

LONG-QUESTIONS
(Note : Questions Marked With * Are V.V.Important )

Examples : Ex #15* (Pg #75)
Exercise 2.3 : Q #3
Exercise 2.4 : Q #5
Exercise 2.5 : Q #1, Q #4*
Exercise 2.8 : Q #5*, Q #6

Exercise 3.2 : Q #9(i)
Exercise 3.3 : Q #3(iii*,xi), Q #4(i), Q #8, Q #15
Exercise 3.4 : Q #8
Exercise 3.5 : Q #2(i)*

Examples : Ex #5* (Pg #146)
Exercise 4.2 : Q #15, Q #20*, Q #24
Exercise 4.3 : Q #6, Q #9
Exercise 4.4 : Q #3(iii)*
Exercise 4.5 : Q #14
Exercise 4.6 : Q #3(ii), Q #6, Q #8
Exercise 4.7 : Q #4(ii), Q #6*, Q #7
Exercise 4.8 : Q #5*
Exercise 4.9 : Q #8, Q #9

Examples : Ex #1 (Pg #188)
Exercise 5.1 : Q #5
Exercise 5.2 : Q #2*, Q #4*, Q #5
Exercise 5.3 : Q #3*, Q #9

Exercise 6.3 : Q #7, Q #8*
Exercise 6.4 : Q #4(i)*, Q #15
Exercise 6.6 : Q #12*
Exercise 6.7 : Q #4, Q #6*
Exercise 6.8 : Q #14
Exercise 6.10 : Q #9*, Q #18*

Examples : Ex #3 (Pg #241)
Exercise 7.2 : Q #3(ii)
Exercise 7.3 : Q #5*
Exercise 7.4 : Q #3(ii)*, Q #10

Exercise 8.1 : Q #12
Exercise 8.2 : Q #6(ii)*
Exercise 8.3 : Q #4(v), Q #7, Q #9(iii), Q #10*, Q #11

Exercise 9.2 : Q #8*
Exercise 9.3 : Q #5(iii), Q #6(viii)*
Exercise 9.4 : Q #24

Examples : Ex #3* (Pg #331), Ex #2 (Pg #322), Ex #4 (Pg #324)
Exercise 10.2 : Q #9(iv,v), Q #11, Q #13, Q #14(ii),
Exercise 10.3 : Q #14*

Exercise 12.8 : Q #3(i), Q #8(i), Q #9(i), Q #11

Exercise 13.2 : Q #1*, Q #9, Q #11, Q #12
Prove : 1* (Pg #398)

ye guess dekhlo ek bar

Biology

FIRST YEAR ENGLISH Guess
Questios ch (1-15)
1.what was the view point of the parents of Gorgious?
2.How much dangerous a martian virus can be?
3.what was the advice of Harry gave to people?
4.condition of Roger when woman gave hin few jerks?
5.why Robert keep claiming of his innocence till his death?
6.advice of Naushervaan to people?
7.qualities of veterns of creative suffering?
8.why people come out on the mall?
9.what was the role of Qazi?
10.what was dream of Luther King?
11.what was the cause of Negro discontentment?
12.Maulvi Abul appearance?
13.condition of the tonsils of sick girl?
14.how Gorgious achieve his ambition?
15.why Steward continued persauding Norma?
PLAYS (1,2,3)
1.How did the girl realize the truth?
2.what kind of judge Applegrath?
3.how kreton impress general power?
4.purpose of visit of kreton?
5.Harry 's philosphy of life?
6.why did clark laraaby return?
7.what type of life you forsee in 5000?
8.why didn't girl accompany first man?
9.wht clark laraaby need money?
10.why did 2nd man accuse first man?
POEMS
1.How does cherry look?
2.what did traveller see in desert?
3.without whose love Bullah in loss?
4.why Mansaur mount the gallow?
5.who can not compete civilization of Makkah?
6.why did people look like powerless and helpless?
7.what did poet reflect when he saw sindhi woman?
8.who was Ozmandias?
9.role of time in human life?
10how reader frighten the rider?
applications
character certificate,change of subjects'remission of fine,readmission
storeys
union is strength,greed is curse,honesty is the best policy'pride hath a fall;might is right'
pairs of words; first 80
urdu translation
Button Button, clearing the sky, locusts, God prasied

Guesss 2019 💔💔💔 chemistry