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

A point on the curve (x ^(2))/(A ^(2)) - (y^(2))/(B ^(2)) =1 is

Find the angle of intersection of the curves y^(2)=x and x^(2)=y

Find the minimum value of y=x^2+2x+2

Find the equation of the normal to the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at (x_(0),y_(0))

Find the equation of the tangent to the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (sqrt(2)a, b) .

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,\ y_1) 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 (sqrt(2)a ,\ b) at indicated points.