Find the minimum length of radius vector of the curve `(a^2)/(x^2)+(b^2)/(y^2)=1`

Find the angle of intersection of curve (x^2)/(a^2)+(y^2)/(b^2)=1 and x^2+y^2=a b

Find the equation of the tangent to the curve (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,\ y_1) on it.

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)-(y^2)/(b^2)=1 at (sqrt(2)a ,\ b) at indicated points.

Find the angle of intersection of the curves y^2=4a x and x^2=4b y .

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)+(y^2)/(b^2)=1 at (acostheta,\ bsintheta) at the indicated points

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)-(y^2)/(b^2)=1 at (asectheta,\ btantheta) at the indicated points.

Find the co-ordinates of that point on the curve x^(2)/a^(2)+y^(2)/b^(2) = 1 at which the tangent drawn is parallel to Y-axis.

The minimum length of intercept on any tangent to the ellipse (x^(2))/(4)+(y^(2))/(9)=1 cut by the circle x^(2)+y^(2)=25 is :

Find the angle of intersection of curve x^2+y^2=2x and y^2=x

Find the area enclosed by the loop of the curve y^2=(x-1)(x-2)^2 .