The ellipse and the hyperbola intersects at right angles then the equation of the circle through the points of intersection of two conic is |
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a) |
b) |
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c) |
d) |

The ellipse and the hyperbola intersects at right angles then the equation of the circle through the points of intersection of two conic is |
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a) |
b) |
||

c) |
d) |

1 Answer - 5876 Votes

3537

**(a)**

Since ellipse and hyperbola intersect orthogonally, they are confocal

Hence, (equating foci)

Let point of intersection in the first quadrant be . lies on both the curves. Therefore,

and

Adding these two results, we get

Hence, equation of the circle is