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AP EAMCET20224 Jul 2022Evening ShiftMathematicsCircleActual

The image of the point 3 , 4 with respect to the radical axis of the circles x 2 + y 2 + 8 x + 2 y + 10 = 0 and x 2 + y 2 + 7 x + 3 y + 10 = 0 is

Options

  1. A3 , 4
  2. B- 4 , - 3
  3. C4 , 3
  4. D- 3 , - 4

Correct answer

C. 4 , 3

Step-by-step solution

Given, S 1 ≡ x 2 + y 2 + 8 x + 2 y + 10 = 0 and S 2 ≡ x 2 + y 2 + 7 x + 3 y + 10 = 0 , Now we know that radical axis is given by S 1 - S 2 So, S 1 - S 2 ≡ x - y = 0 So image of point 3 , 4 in line y = x will be 4 , 3

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