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NTA Abhyas JEE Main2020MathematicsHyperbolaPractice

Number of points from where perpendicular tangents to the curve x 2 16 - y 2 25 = 1 can be drawn, is/are

Options

  1. A1
  2. B2
  3. C0
  4. Dinfinite

Correct answer

C. 0

Step-by-step solution

Director circle is the set of points from where drawn tangents are perpendicular, in this case x 2 + y 2 = a 2 - b 2 (equation of director circle) i. e. , x 2 + y 2 = - 9 is not a real circle, so there is no point from where perpendicular tangents can be drawn.

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