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Q.

The points (3, -4) and (-6,5) are the end points of a diagonal of a parallelogram. If one of the end points of the second diagonal is (-2,1), then find its other end point.


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a

(0,1)

b

(0,-1)

c

(-1,0)

d

(1,0) 

answer is C.

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Detailed Solution

Given vertex of parallelogram,
A(7,4),C(−2,6)   and B(−2,1)  .  Let the fourth vertex is D x,y  .
Since, we know that the diagonals of a parallelogram bisect each other.
So, we can say that,
Midpoint of AC=Midpoint of BD Since, if the coordinates of two points are x 1 , y 1   and x 2 , y 2   then the coordinate of the middle point of the two points will be x 1 + x 2 2 , y 1 + y 2 2  .
Question Image So, the other endpoint is −1,0  .
Hence, option (3) is correct.
 
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