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)`

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

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

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)

The angle between the pair of straight lines 2x^(2)+5xy+2y^(2)+3x+3y+1=0 is (A)cos^(-1)((4)/(5))(A)tan^(-1)((4)/(5)) (A) (pi)/(2) (D) 0

The gradient of the common tangent to the two curves y=x^(2)-5x+6 and y=x^(2)+x+1 is: -(1)/(3)(b)-(2)/(3)(c)-1(d)-3

If x = sin (2tan ^ (- 1) 2), y = sin ((1) / (2) tan ^ (- 1) ((4) / (3))), then -

Equation of the tangent at (1,-1) to the curve x^(3)-xy^(2)-4x^(2)-xy+5x+3y+1=0 is

Equation of the tangent at (1,-1) to the curve x^(3)-xy^(2)-4x^(2)-xy+5x+3y+1=0 is