Answer :

Given:


Sum of perpendicular distances of a variable point P(x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10


To prove:


P must move on a line.


Concept Used:


Distance of a point from a line.


Explanation:


It is given that the sum of perpendicular distances of a variable point P (x, y) from the lines x + y 5 = 0 and 3x 2y + 7 = 0 is always 10





It is a straight line.


Hence proved.


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