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MHT CET2011MathematicsCircle

The angle between a pair of tangents drawn from a point 'P' to the circle x²+y²+4 x-6 y+9 ² +13 ² =0 is 2 . The equation of the locus of the point ^ ' P ' is

Options

  1. Ax²+y²+4 x-6 y+4=0
  2. Bx²+y²+4 x-6 y-9=0
  3. Cx²+y²+4 x-6 y-4=0
  4. Dx²+y²+4 x-6 y+9=0

Correct answer

D. x²+y²+4 x-6 y+9=0

Step-by-step solution

The equation of a given circle is x²+y²+4 x-6 y+9 ² +13 ² =0 Centre A(-2,3) in A B P , = 2 (h+2)²+(k-3)² (h+2)²+(k-3)²=4 h²+k²+4 h-6 k+9=0 Hence, the required locus of P(h, k) is x²+y²+4 x-6 y+9=0

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