Two conics `x^2/a^2-y^2/b^2=1 and x^2=-a/b.y` intersect, if (a) `0 < b le 1/2` (b) `0 < a < 1/2` (c) `a^2 < b^2` (d) `a^2 < b^2`

The two conics y^(2)/b^(2)-x^(2)/a^(2)=1 and y^(2)=-b/ax intersect if and only if

The radius of the circle passing through the points of intersection of ellipse x^2/a^2+y^2/b^2=1 and x^2-y^2 = 0 is

Tangents are drawn from any point on the conic x^2/a^2 + y^2/b^2 = 4 to the conic x^2/a^2 + y^2/b^2 = 1 . Find the locus of the point of intersection of the normals at the point of contact of the two tangents.

The radius of the circle passing through the points of intersection of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and x^(2)-y^(2)=0 is

The radius of the circle passing through the points of intersection of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and x^(2)-y^(2)=0 is

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

x/a-y/b=0 , a x+b y=a^2+b^2