The angle formed by the positive `y - axis` and the tangent to `y=x^2+4x-17 at (5/2,-3/4)` is: (a) `tan^(-1)(9)` (b) `pi/2-tan^(-1)(9)` `pi/2+tan^(-1)(9)` (d) none of these

tan^(-1)(x/2)+tan^(-1)(x/3)=(pi)/(4)

tan^(-1)2x+tan^(-1)3x=(pi)/(4)

Prove that tan^(-1) (1/4) + tan^(-1) (2/9) = 1/2 sin^(-1) (4/5)

If tan^(-1)x+tan^(-1)y=(4 pi)/(5), find cot^(-1)x+cot^(-1)y

The angle between tangents to the curves y=x^(2) and x^(2)=y^(2) at (1,1) is (A) cos^(-1)(4/5) (B) sin^(-1)(3/5) (C) tan^(-1)(3/4) (D) tan^(-1)(1/3)

Let tan^(-1) ( tan. (5pi)/(4))=alpha, tan^(-1) (-tan. (2pi)/(3))=beta , then

The number of solutions of equation tan^(-1)2x+tan^(-1)3x=pi/4 is (a) 2 (b) 3 (c) 1 (d) none of these

The angle between the normals of ellipse 4x^2 + y^2 = 5 , at the intersection of 2x+y=3 and the ellipse is (A) tan^(-1) (3/5) (B) tan^(-1) (3/4) (C) tan^(-1) (4/3) (D) tan^(-1) (4/5)