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

Question

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, 3 , 4, - 4 , - 3, 4 , 3, - 3 , - 4

MARKS App · Accepted Answer

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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