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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
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

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3 years ago Saurabh Koranglekar
10341 Points
```							Dear studentPlease write the Question in a standard form or attach an image of the questionRegards
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9 months ago
```							Dear student Question is not clear Please attach an image, We will happy to  help you Good LuckCheers
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9 months 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)
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9 months ago
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