2From a point P tangents are drawn to the ellips 1auxiliary circle, th

1.	2From a point P tangents are drawn to the ellips 1auxiliary circle, then the locus of P isa2 b22 b2 a221. If the chord of contact touches th
Answer» Let the locus of p be (h,k) The equation of chord of contact to the ellipse will be eqaut to: xh/a^2+yk/b^2=1. The distance from the center of the circle {I.e.(0,0)} will be the radius of the auxiliary circle. -a^2b^2\|/√[(h^2)(b^4)+(k^2)(a^4)]=a=> (a^2) (b^4)=(h^2)(b^4)+(k^2)(a^4) We finally get this as our answer: (x^2/a^4)+(y^2/b^4)=1/(a^2) Hence, option (B) is correct.

2From a point P tangents are drawn to the ellips 1auxiliary circle, then the locus of P isa2 b22 b2 a221. If the chord of contact touches th

Answer»

Let the locus of p be (h,k)

The equation of chord of contact to the ellipse will be eqaut to:

xh/a^2+yk/b^2=1.

The distance from the center of the circle {I.e.(0,0)} will be the radius of the auxiliary circle.

-a^2b^2|/√[(h^2)(b^4)+(k^2)(a^4)]=a=> (a^2) (b^4)=(h^2)(b^4)+(k^2)(a^4)

We finally get this as our answer: (x^2/a^4)+(y^2/b^4)=1/(a^2)

Hence, option (B) is correct.