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Q.

Let all the points on the curve  x2+y210x=0 are reflected about the line y=x+3 . The locus of the reflected points is in the form  x2+y2+gx+fy+c=0. The value of  (g+f+c) is equal to:

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a

28

b

-28

c

38

d

-38

answer is C.

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Detailed Solution

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Image of center C1(5,0) about the line y=x+3 is 
Question Image

x251=y201=2(5+3)12+12C2(3,8)
 

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