Tangent of acute angle between the curves `y=|x^2-1|` and `y=sqrt(7-x^2)` at their points of intersection is (a) `(5sqrt(3))/2` (b) `(3sqrt(5))/2` `(5sqrt(3))/4` (d) `(3sqrt(5))/4`

Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) at their points of intersection is (5sqrt(3))/2 (b) (3sqrt(5))/2 (5sqrt(3))/4 (d) (3sqrt(5))/4

Find the angle between the lines y=(2-sqrt3)(x+5) and y=(2+sqrt3)(x-7) .

The eccentricity of the hyperbola x^2-4y^2=1 is a. (sqrt(3))/2 b. (sqrt(5))/2 c. 2/(sqrt(3)) d. 2/(sqrt(5))

A curve is represented by the equations x=sec^2ta n dy=cott , where t is a parameter. If the tangent at the point P on the curve where t=pi/4 meets the curve again at the point Q , then |P Q| is equal to (5sqrt(3))/2 (b) (5sqrt(5))/2 (c) (2sqrt(5))/3 (d) (3sqrt(5))/2

Find the angle between the lines y=(2-sqrt(3))(x+5)andy=(2+sqrt(3))(x-7)

The distance between the origin and the tangent to the curve y=e^(2x)+x^2 drawn at the point x=0 is (a) (1/sqrt(5)) (b) (2/sqrt(5)) (c) (-(1)/sqrt(5)) (d) (2/sqrt(3))

The angle between lines y=(2-sqrt(3))x+5 and y=(2+sqrt(3))x+7 is

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =