Mathematics is a vast and fascinating field
MCQ ~ WBJEE || By Sukanta ||
Question. The value of the infinite series 1 + 1/2! + 1.3/4! + 1.3.5/6!+……….∞ is →
MCQ ~ WBJEE || By Sukanta ||
Question. If α and β are the roots of the equation ax²+bx+c=0 , then limit x tends to β whole × 1 – cos of in bracket ax²+bx+c / in bracket x- β whole square is…
MCQ~WBJEE || By Sukanta ||
Question. The value of limit n tends to ∞ Summation of r=1 to n r³/r⁴ +n⁴ is …..
MCQ~ WBJEE || By Sukanta ||
Question. f of x = lim┬(n→∞)n × in first then x ¹′ⁿ- 1 →
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MCQ~WBJEE || By Sukanta ||
Question. If x+y+z=1 and x,y,z are positive numbers such that in first bracket 1-x × in first bracket 1-y × in first bracket 1-z greater than or equal to kxyz, then k² equals…………..
MCQ ~ WBJEE || By Sukanta ||
Question. If x=secθ - cosθ and y = secⁿθ - cosⁿθ, prove that - in first bracket x²+4 × dy/dx whole square = n² × in first bracket y²+4 -
MCQ ~ WBJEE || by Sukanta ||
MCQ ~ WBJEE || By Sukanta ||
Question. The equation of the common tangent touching the circle x-3 whole square + y²=9 and the parabola y²=4x above the x-axis is -
MCQ ~ JEE || By Sukanta ||
Question. Let α be fixed . If the integral ∫ tanx+tanα / tanx-tanα dx = A of x × cos2α+B of x × sin2α+C, where C is a constant of integration , then the functions A of x and B of x are respectively-
MCQ ~ JEE || By Sukanta ||
Question. If a, b, c be three distinct real numbers in G.P. and a+b+c = xb then x cannot be -