Find x if ABCD is a parallelogram as given in figure below, with two diagonals AC and BD intersecting at O and OA = x + 3, OB = y + 2, OC = 2x + y, OD = 3y

Correct option is A

Given:

In parallelogram ABCD, with AC and BD diagonals

OA = x+3 , OB = y + 2, OC = 2x + y, OD = 3y

Formula Used:

We know that diagonals of parallelogram bisects each other

Solution:

If diagonals bisects each other then

DO = OB

3y = y+2

2y - y = 2

2y =2

y=1

And

AO = OC

x+3 = 2x+y

x+3 = 2x +1

3-1 = 2x-x

2 = x $$\implies x = 2$$​​