The angle between the tangents to the curves `y=x^2a n dx=y^2a t(1,1)` is `cos^(-1)(4/5)` (b) `sin^(-1)(3/5)` `tan^(-1)(3/4)` (d) `tan^(-1)(1/3)`

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)

tan(cos^(-1)((3)/(5))+tan^(-1)((1)/(4)))

tan(cos^(-1)((4)/(5))+tan^(-1)((2)/(3)))=

The angle between the curves y^2=x and x^2=y at (1,\ 1) is tan^(-1)4/3 (b) tan^(-1)3/4 (c) 90o (d) 45o

Prove that : tan^(-1)(1/2) + tan^(-1)(1/3) = tan^(-1)(3/5) + tan^(-1)(1/4) = pi/4

tan^(-1) . 3/5 +tan^(-1) . 1/4 = pi/2

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)

tan [cos^(-1)((4)/(5)) +tan ^(-1)((2)/(3))]=....