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Find the equations of the circles which ...

Find the equations of the circles which pass through the origin and cut off equal chords of length `sqrt(2)` units on the straight lines y = x and y = - x .

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The correct Answer is:
Therefore , the required equations to the circle are
`x^(2) + y^(2) pm 2x = 0 ` or ` x^(2) + y^(2) pm 2y = 0 `
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