Q.

The locus represented by the equation (x−y+c)2+(x+y−c)2=0 is

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a

a line parallel to x-axis

b

a point

c

a pair of straight lines

d

a line parallel of y-axis

answer is B.

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Detailed Solution

From the given equation we havex−y+c=0 and  x+y−c=0 which representsthe point (0, c.)
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The locus represented by the equation (x−y+c)2+(x+y−c)2=0 is