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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Hyperbola

NTA Abhyas 2020 · Mathematics · Hyperbola

Number of points from where perpendicular tangents to the curve x^...

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

Options

  1. A11
  2. B22
  3. C00
  4. Dinfinite

Correct answer

C. 00

Step-by-step solution

Director circle is the set of points from where drawn tangents are perpendicular, in this case x2+y2=a2−b2x^{2} + y^{2} = a^{2} - b^{2} (equation of director circle) i.e.,x2+y2=−9i.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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