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MHT CET2009MathematicsStraight Lines

Locus of the point of intersection of perpendicular tangents to the circle x²+y²=16 is

Options

  1. Ax²+y²=8
  2. Bx²+y²=32
  3. Cx²+y²=64
  4. Dx²+y²=16

Correct answer

B. x²+y²=32

Step-by-step solution

We know that, if two perpendicular tangents to the circle x²+y²=a² meet at P , then the point P lies on a director circle. Required locus is x²+y²=32

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