The points on the line `x=2` from which the tangents drawn to the circle `x^2+y^2=16` are at right angles is (are) `(2,2sqrt(7))` (b) `(2,2sqrt(5))` `(2,-2sqrt(7))` (d) `(2,-2sqrt(5))`

The points on the line x=2 from which the tangents drawn to the circle x^2+y^2=16 are at right angles is (are) (a) (2,2sqrt(7)) (b) (2,2sqrt(5)) (c) (2,-2sqrt(7)) (d) (2,-2sqrt(5))

A point on the line x=3 from which the tangents drawn to the circle x^2+y^2=8 are at right angles is

A point on the line x=4 from which the tangents drawn to the circle 2(x^(2)+y^(2))=25 are at right angles, is

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))

If a=(2-sqrt(5))/(2+sqrt(5)) and b=(2+sqrt(5))/(2-sqrt(5)), find a^2-b^2

If a=(2-sqrt(5))/(2+sqrt(5)) and b=(2+sqrt(5))/(2-sqrt(5)), find a^2-b^2

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

(sqrt(7)+2sqrt(3))(sqrt(7)-2sqrt(3))

The length of the tangent from the point (4, 5) to the circle x^2 + y^2 + 2x - 6y = 6 is : (A) sqrt(13) (B) sqrt(38) (C) 2sqrt(2) (D) 2sqrt(13)

If two chords drawn from the point A(4,4) to the parabola x^2=4y are bisected by the line y=m x , the interval in which m lies is (a) (-2sqrt(2),2sqrt(2)) (b) (-oo,-sqrt(2))uu(sqrt(2),oo) (c) (-oo,-2sqrt(2)-2)uu(2sqrt(2)-2,oo) (d) none of these