Find the equations to the tangents to the conic.

Find the equations of the tangents from the point (2,2) to the ellipse 4x^(2)+9y^(2)=36 . Also find the angle between the tangents.

Find the equations of the tangents to the parabola y^(2)+4=4x which are equally inclined to co-ordinate axis and also find tangent at the vertex of the parabola.

If 3x+y=0 is a tangent to a circle whose center is (2,-1), then find the equation of the other tangent to the circle from the origin.

Find the equation of tangent to the conic x^(2)-y^(2)-8x+2y+11=0 at (2,1)

Find the equation of the tangent to the curve y=sec x at the point (0,1)

Find the equation of the tangent line to the curve y=sinx" at "x=(pi)/(4).

Find the equation of the tangent to the parabola y^(2)=8x having slope 2 and also find the point of contact.