Column-I Column-II A) ∫↖{1\/√3}↙{-1\/√3} {cos^{-1}({2x}/{1+x^2})+Tan^{-1}({2x}/{1-x^2})}/{1+e^x} dx is equal to P) √3(π/3-√3/4) B) If A ≡ (1/2, 0), B ≡ (3/2, 0) and C ≡ (5/2, 0), the area of theregion(in square units) of the point P satisfying maximum{PA + PB, PB + PC}

Question

Column-I Column-II A) ∫↖{1\/√3}↙{-1\/√3} {cos^{-1}({2x}/{1+x^2})+Tan^{-1}({2x}/{1-x^2})}/{1+e^x} dx is equal to P) √3(π/3-√3/4) B) If A ≡ (1/2, 0), B ≡ (3/2, 0) and C ≡ (5/2, 0), the area of theregion(in square units) of the point P satisfying maximum{PA + PB, PB + PC} < 2, is Q) π/3 C) If ∫f(x) sec^2 x dx = f (x) secx + c then f(6x) is a periodic functionwith fundamental period R) π/12 D)If the latus rectum of the hyperbola x^2 tan^2 θ – y^2 sec^2 θ = 1 is1/2 and 0 < θ < π then θ can be S) π/2√3      T) 5π/12

Examsnet · Accepted Answer

Correct Answer is : A - S ; B - P ; C - Q ; D - R , T

JEE Advanced Model Paper 20 with solutions for online practice