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From points on the circle x 2 + y 2 = a 2 , tangents are drawn to the hyperbola x 2 − y 2 = a 2 . The locus of the midpoint of chords of contact is A . (x 2 + y 2 ) 2 = a 2 (x 2 − y 2 ) B . (x 2 − y 2 ) 2 = a 2 (x 2 + y 2 ) C . a 2 (x 2 + y 2 ) 2 = (x 2 − y 2 ) D . a 2 (x 2 − y 2 ) 2 = (x 2 + y 2 )

From points on the circle x2 + y2 = a2, tangents are drawn to the hyperbola x2 − y2 = a2. The locus of the midpoint of chords of contact is

 
  • A.

    (x2 + y2)2 = a2 (x2 − y2)

  • B.

    (x2 − y2)2 = a2 (x2 + y2)

  • C.

    a2 (x2 + y2)2 = (x2 − y2)

  • D.

    a2 (x2 − y2)2 = (x2 + y2)

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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