Q. 203.8( 35 Votes )

If sum of t

Answer :

The equations of the given lines are:


x + y – 5 = 0 ---------------- (1)


3x – 2y +7 = 0 ------------ (2)


The perpendicular distance of P(x, y) from line (1) is given by


and


i.e, and


It is given that


Thus,



(Assuming (x+y-5) and (3x-2y+7))




Which is the equation of the line.


Similarly, we can get the equation of line for any signs of (x + y -5) and (3x – 2y + 7).


Therefore, point P must move on a line.


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