From a point P tangents are drawn to the elipse `x^2/a^2+y^2/b^2=1`.lf the chord of contact touches the ellipse `x^2/c^2+y^2/a^2=1`,then the locus of P is

From a point P tangents are drawn to the elipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1.1f the chord of contact touches the ellipse (x^(2))/(c^(2))+(y^(2))/(a^(2))=1, then the locus of P is

From a point P tangents are drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 If the chord of contact touches the auxiliary circle then the locus of P is

From a variable point P tangents are drawn to the ellipse 4x^(2) + 9y^(2) = 36 . If the chord of contact is bisected by the line x + y = 1, find the locus of P.

Let from a point A (h,k) chord of contacts are drawn to the ellipse x^2+2y^2=6 such that all these chords touch the ellipse x^2+4y^2=4, then locus of the point A is

Let from a point A (h,k) chord of contacts are drawn to the ellipse x^2+2y^2=6 such that all these chords touch the ellipse x^2+4y^2=4, then locus of the point A is

From a point P, tangents are drawn to the hyperbola 2xy = a^(2) . If the chord of contact of these tangents touches the rectangular hyperbola x^(2) - y^(2) = a^(2) , prove that the locus of P is the conjugate hyperbola of the second hyperbola.

If y=mx+c is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then the point of contact is

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

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

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