Question

THE POINTS (1,3)AND(5,1)ARE TWO OPPOSITE VERTICES OF A RECTANGLE. THE OTHER TWO VERTICES LIE ON THE LINE Y=2X+3Y=1,THEN TH LOCUS OF THE VER TEX CIS THE LINE

Answer 1

diagonals of rectangle bisect each other.let ABCD is rectangle. and A=(1,3), C=(5,1)

Mid point of diagonal AC is (3,2)

mid point of diagonal BD will also be (3,2) and given line is equation of BD

(3,2) will satisfy the equation

put y=2 and x=3

2=6+c

c=-4