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

Find the length of Latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 .

Find the angle of intersection of the curves x y=a^2a n dx^2+y^2=2a^2

Prove that the length of the latusrection of the hyperbola x^(2)/a^(2) -y^(2)/b^(2) =1 " is" (2b^(2))/a

Find the slope of a common tangent to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and a concentric circle of radius rdot

Find the equation of tangent to the curve y=sin^(-1)(2x)/(1+x^2)a tx=sqrt(3)

Find the minimum distance between the curves y^2=4xa n dx^2+y^2-12 x+31=0

Find the equations of the tangent and normal to the curve x^(2/3)+y^((2)/(3))=2 at (1,1).

Find the centre and radius of the circle 3x^(2)+(a+1)y^(2)+6x-9y+a+4=0 .

Find the maximum distance of any point on the curve x^2+2y^2+2x y=1 from the origin.

The asymptote to the curve y^(2)(1+x)=x^(2)(1-x) is