Tangents are drawn from the origin to the curve `y=sin x`. Prove that their points of contact lie on `x^(2)y^(2)=x^(2)-^(2)`.

If tangents are drawn from the origin to the curve y= sin x , then their points of contact lie on-

Tangents are drawn from the origin to curve y=sinxdot Prove that points of contact lie on y^2=(x^2)/(1+x^2)

The tangent drawn at the point (0, 1) on the curve y=e^(2x) meets the x-axis at the point -

A pair of tangents are drawn from the origin to the circle x^2+y^2+20(x+y)+20=0 . Then find its equations.

The tangents drawn from the origin to the circle x^2+y^2-2rx-2hy+h^2=0 are perpendicular if

Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4 , then all the chords of contact pass through a fixed point, whose coordinate are

Let 2 x^2 + y^2 - 3xy = 0 be the equation of pair of tangents drawn from the origin to a circle of radius 3, with center in the first quadrant. If A is the point of contact. Find OA

Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 . Find the equation to their chord of contact and the middle point of this chord of contact.

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then

y=x is tangent to the parabola y=ax^(2)+c . If c=2, then the point of contact is