A tangent to the ellipse `x^(2)+4y^(2)=4` meets the ellipse `x^(2)+2y^(2)=6a` P and Q . Prove that the tangents at P and Q the ellipse `x^(2)+2y^(2)=6` are the right angles.

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 and Q. The angle between the tangents at P and Q of the ellipse x^2+2y^2=6 is

A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&Q. The angle between the tangents at P and Q of the ellipse x 2 +2y 2 =6 is

The eccentricity of the ellipse x^(2) + 2y^(2) =6 is

If y = mx + c is a tangent to the ellipse x^(2) + 2y^(2) = 6 , them c^(2) =

A tangent to the circle x^(2)+y^(2)=1 through the point (0, 5) cuts the circle x^(2)+y^(2)=4 at P and Q. If the tangents to the circle x^(2)+y^(2)=4 at P and Q meet at R, then the coordinates of R are

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 line 2x+y=3 cuts the ellipse 4x^(2)+y^(2)=5 at points P and Q. If theta is the angle between the normals at P and Q, then tantheta is equal to

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

If 3x+4y=12 intersect the ellipse x^2/25+y^2/16=1 at P and Q , then point of intersection of tangents at P and Q.