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

a)

b)

c)

d)


Question ID - 55906 | Toppr Answer

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

a)

b)

c)

d)

1 Answer - 5876 Votes

3537

Answer Key : (a) -

(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



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