A straight line with slope 2 and y-intercept 5 touches the circle. x2+y2+16x+12y+c=0 at a point Q. then the co-ordinates of Q are

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(−6,11)

(−9,−13)

(−10,−15)

(−6,−7)

answer is D.

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Detailed Solution

Let Q=x1,y1. Thenwe have y1=2x1+5 and y1+6x1+8×2=−1 ⇒x1=−6 and y1=−7

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