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Given ellipse x^2/16+y^2/17=1 and the h...

Given ellipse `x^2/16+y^2/17=1` and the hyperbola `x^2/144-y^2/81=1/25` , if the ordinate of one of the points of intersection is produced to cut asymptote at P, then which of the following is true?

A

They have the same foci

B

Square of the ordinate of point of intersection is `(63)/(25)`

C

Sum of the squares of coordinate of P is 16

D

P lies on the auxiliary circle formed by ellipse

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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