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If one of the diameter of the circle, given by the equation x²+y²+4 x+6 y-12=0, is a chord of a circle S, whose centre is (2,-3 ), the radius of S is

Options

  1. A41 unit
  2. B3 5 unit
  3. C5 2 unit
  4. D2 5 unit

Correct answer

A. 41 unit

Step-by-step solution

Given, equation of circle is x²+y²+4 x+6 y-12=0 Centre C(-2,-3) and radius = (-2)²+(-3)²+12 =5 x²+y²+4 x+6 y-12=0 aligned C₁ C₂ &= (2+ 2 )²+(-3+3)² . &= (4)²+(0)² =4 aligned Radius of circle, S = (4)²+( 5 )² = 16+25 = 41 unit

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