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A point moves so that the algebraic sum of its distances from two given perpendicular axes is equal to a constant quantity a; find the equation to its locus.

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Take the two straight lines as the axes of coordinates. Let (x, y) be any point satisfying the given condition. We then ha,we x + y = a. This being the relation connecting the coordinates of any point on the locus is the equation to the locus. It will be found in the next chapter that this equation represents a straight line.

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