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The locus represented by the equation $(x - y + c)^{2} + (x + y - c)^{2} = 0$ is

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a line parallel to x-axis

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a line parallel of y-axis

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detailed solution

Correct option is B

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

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The locus represented by the equation $(x - y + c)^{2} + (x + y - c)^{2} = 0$ is