Answer: (-4,-5)
Explanation:
Here ABCD is a parallelogram,
Where A≡(-2,-1), B≡(2,1), C≡(0,-3) and D≡(x,y)
By the property of parallelogram,
AB║CD, AD║BC, AB = CD and AD=BC
If AB ║ CD
⇒ Slope of AB = Slope of CD
⇒

⇒

⇒

⇒
------ (1)
Now, AB = CD






From equation (1)




⇒ y = -1 or -5
Again by equation (1)
for y = -1, x = 4
For y = -5, x = -4
Thus the coordinate of D are (4,-1) or ( -4,-5)
But for D≡(4,-1), AD∦BC
While For D≡(-4,-5) AD ║ BC
Thus the coordinates of D are ( -4,-5)