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)`

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

tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

Prove that: tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=pi/4

Prove that : tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=pi/4

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)

Prove that tan ^(-1). 3/4+ tan^(-1) . 3/5 - tan^(-1) . 8/19 = pi/4

The angle between the lines joining origin to the points of intersection of the line sqrt(3)x+y=2 and the curve y^2-x^2=4 is (A) tan^(-1)(2/(sqrt(3))) (B) pi/6 (C) tan^(-1)((sqrt(3))/2) (D) pi/2

The angle between the pair of lines whose equation is 4x^2+10 x y+m y^2+5x+10 y=0 is (a) tan^(-1)(3/8) (b) tan^(-1)(3/4) (c) tan^(-1){2(sqrt(25-4m))/(m+4)},m in R (d) none of these

The angle between the pair of lines whose equation is 4x^2+10 x y+m y^2+5x+10 y=0 is(a) tan^(-1)(3/8) (b) tan^(-1)(3/4) (c) tan^(-1){2(sqrt(25-4m))/(m+4)},m in R (d) none of these