ABCD is a rectangle in the clockwise direction. The coordinates of A are (1,3) and the coordinates of C are (5,1), the coordinates of vertices B and D satisfy the line y = 2x + c, then what will be the coordinates of the mid-point of BC.
Explanation:
Midpoint of AC passes through the line y = 2x + c Midpoint of AC = (3, 2) 2 = 6 + c c = -4 Line passing through B is y = 2x - 4 (slope of AB)(slope of BC) = -1
y-1x-5y-3x-1 = -1
Substituting y = 2x - 4 and solving, we get B(2, 0) or B(4, 4) B cannot lie on X-axis. Therefore, co-ordinates of B = (4, 4) Midpoint of BC = 92,52
The answer is option B.
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.