Answer :

Given: the points A(a, -11), B(5, b), C(2, 15) and D(1, 1) are the vertices of a parallelogram ABCD.

To find:  the values of a and b.

Solution:


Given points are A(a, -11), B(5, b), C(2, 15) and D(1, 1) and let the intersection of diagonals be E(xm , ym )


It is given that □ABCD is a parallelogram.



By midpoint formula.


x = , y =


We know that midpoint of parallelogram coincide.


Midpoint of AC = Midpoint of BD


( , ) = ( , )


= and =












⇒ a + 2 = 6 and 4 = b + 1

⇒ a = 6 - 2 and 4 - 1 = b

⇒ a = 4 and 3 = b

a = 4 and b = 3

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses