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From points on the circle x2+y^2=a2 tangents are drawn to the hyperbola x2-y2=a2 prove that the locus of the mid point of the cord of contact is the curve (x2-y2)^2= a^2(x^2+y^2)

From points on the circle x2+y^2=a2 tangents are drawn to the hyperbola x2-y2=a2 prove that the locus of the mid point of the cord of contact is the curve (x2-y2)^2= a^2(x^2+y^2)

Grade:11

1 Answers

Arun
25763 Points
3 years ago
I am telling you the way by which you can solve this,
 
Let the point on circle is (a cos@, a sin@)
 
Now you have to find the locus of mid point of chord of contact to hyperbola
 
Put
T = S1
 
You will definitely get your answer
 
Regards
Arun (askIITians forum expert)

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