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

Tangents are drawn from the origin to the curve y=cos X . Their points of contact lie on

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

Tangents are drawn from origin to the curve y = sin+cos x ·Then their points of contact lie on the curve

The tangent drawn from the origin to the curve y=2x^2+5x+2 meets the curve at a point whose y-coordinate is negative. Find the area if the figure is bounded by the tangent between the point of contact and origin, the x-axis and the parabola.

The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve

Let the midpoint of the chord of contact of tangents drawn from A to the circle x^(2) + y^(2) = 4 be M(1, -1) and the points of contact be B and C

Tangents are drawn from the point (4, 2) to the curve x^(2)+9y^(2)=9 , the tangent of angle between the tangents :

Tangents are drawn from point P on the curve x^(2) - 4y^(2) = 4 to the curve x^(2) + 4y^(2) = 4 touching it in the points Q and R . Prove that the mid -point of QR lies on x^(2)/4 - y^(2) = (x^(2)/4 + y^(2))^(2)

Let f(x,y) be a curve in the x-y plane having the property that distance from the origin of any tangent to the curve is equal to distance of point of contact from the y-axis. It f(1,2)=0, then all such possible curves are

26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve