Home
Class 11
MATHS
A tangent is drawn to the ellipse to cut...

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

Promotional Banner

Similar Questions

Explore conceptually related problems

A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P&Q.Prove that the tangents at P and Q of the ellipse x^2+2y^2=6 are right angle.

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.

If the line l x+m y+n=0 cuts the ellipse ((x^2)/(a^2))+((y^2)/(b^2))=1 at points whose eccentric angles differ by pi/2, then find the value of (a^2l^2+b^2m^2)/(n^2) .

If the ellipse x^2/a^2+y^2/b^2=1 (b > a) and the parabola y^2 = 4ax cut at right angles, then eccentricity of the ellipse is

Find the points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 such that the tangent at each point makes equal angles with the axes.

Find the points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 such that the tangent at each point makes equal angles with the axes.

If a tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 makes intercepts h and k on the co-ordinate axes then show that a^(2)/h^(2)+b^(2)/k^(2)=1 .

if tangents are drawn to the ellipse x^(2)+2y^(2)=2 all points on the ellipse other its four vertices then the mid-points of the tangents intercepted between the coorinate axs lie on the curve

AB and CD are two equal and parallel chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 . Tangents to the ellipse at A and B intersect at P and tangents at C and D at Q. The line PQ