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Q.

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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a

(−6,11)

b

(−9,−13)

c

(−10,−15)

d

(−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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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