Show that the path of a moving point su...

Show that the path of a moving point such that its distances from two lines `3x - 2y = 5`and `3x + 2y = 5`are equal is a straight line.

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Prove that the locus of a moving point, which is equidistant from the lines 3x-2y=5 and 3x+2y=5 , is a straight line.

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If sum of the perpendicular distances of a variable point P (x , y) from the lines x + y - 5 = 0 and 3x - 2y +7 = 0 is always 10. Show that P must move on a line.

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