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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