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# 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 ellipse x^2÷a^2+y^2÷b^2=1.then find the locus of p

Saurabh Koranglekar
one year ago
Dear student

Please write the Question in a standard form or attach an image of the question

Regards
Vikas TU
14149 Points
one year ago
Dear student
Question is not clear
Good Luck
Cheers
Arun
25763 Points
one year ago
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)