KEAM 2016 Math Paper

Let the points of parallelogram are A(−2,1),B(−6,5) C(−10) and D(x,y)
We know that, diagonals of parallelogram bisect each other.
‌

−3

2

=‌

x−6

2

and ‌

1

2

=‌

y+5

2

⇒−3=x−6 and 1=y+5
⇒x=−3+6 and y=1−5
⇒x=3 and y=−4
Thus. coordinates of fourth vertex of parallelogram are (3−4)