CAT 2017 Slot 2 QA Question & Solution
GeometryMedium
Question
The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y =3x+c,then c is
Options
-5
-6
-7
-8
Solution
The midpoint of one diagonal lies on the other diagonal.
Midpoint is ((2+6)/2, (5+3)/2) = (4,4)
Hence 4 = 3 * 4 + c => c = -8