Tangents are drawn from a point P to the circle x^2 +y^2 = r62 so that the chords of contact are tangent to the ellipse

Question

Tangents are drawn from a point P to the circle  x² +y² = r²  so that the chords of contact are tangent to the ellipse a² x² +b²y² = r² Find the locus of P.

Answer 1

 Let P be (h, k) 

∴ Chord of contact is