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Grade: 11

                        

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

3 years ago

Answers : (3)

Saurabh Koranglekar
askIITians Faculty
8407 Points
							Dear student

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

Regards
6 months ago
Vikas TU
12281 Points
							
Dear student 
Question is not clear 
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6 months ago
Arun
24735 Points
							
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)
 
6 months ago
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