A tangent to the ellipse `x^2+4y^2=4` meets the ellipse `x^2+2y^2=6` at P&Q.

A tangent to the ellipse x^(2)+4y^(2)=4 meets the ellipse x^(2)+2y^(2)=6 at P o* Q.

if a variable tangent of the circle x^(2)+y^(2)=1 intersects the ellipse x^(2)+2y^(2)=4 at P and Q. then the locus of the points of intersection of the tangents at P and Q is

A tangent to the hyperbola x^(2)/4 - y^(2)/1 = 1 meets ellipse x^(2) + 4y^(2) = 4 in two distinct points . Then the locus of midpoint of this chord is

A variable tangent to the circle x^(2)+y^(2)=1 intersects the ellipse (x^(2))/(4)+(y^(2))/(2)=1 at point P and Q. The lous of the point of the intersection of tangents to the ellipse at P and Q is another ellipse. Then find its eccentricity.

The equations of the commom tangents of the ellipse x^(2)+4y^(2)=8 & the parabola y^(2)=4x are

A tangent is drawn to the ellipse to cut the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and to cut the ellipse (x^(2))/(c^(2))+(y^(2))/(d^(2))=1 at the points P and Q. If the tangents are at right angles,then the value of ((a^(2))/(c^(2)))+((b^(2))/(d^(2))) is

The slope of tangent to the ellipse x^(2)+4y^(2)=4 at the point (2cos theta,sin theta) is sqrt(2) Find the equation of the tangent