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Question

If a parallelogram ABCD is drawn are shown in fig then find the coordinates of 'D'


A

(2,6)

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B

(6,2)

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C

(12,6)

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D

(6,12)

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Solution

The correct option is A

(2,6)


Given coordinates of A=(0,0)

B =(5,0)

C=(7,6)

Let the coordinates of D be (x,y).

In a parallogram opposite side are equal and parallel

Difference in X-coordinates of A & D =Difference in X-coordinates of B and C

x0=75

x=2 and similarly difference in Y-coordinates of A and D =difference in Y-coordinates of B and C

y0=60

y=6

Coordinates of D=(x,y)=(2,6)


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