Math, asked by suryanshmishra2512, 1 month ago

If A(2, 3), B((4, 6), C(7, 4) and D(a, b) are the vertices of a quadrilateral, such that diagonals AC and BD intersects each other O. If O is mid point of AC and BD then value of a and b are​

Answers

Answered by rameshrajput16h
3

Answer:

Let the three vertices of parallelogram ABCD be A(−1,2),B(4,1)andC(7,6)

Let the fourth vertex be D(a,b)

By joining AC and BD intersect at point O i.e, diagonals of parallelogram bisect each other

Mid point of AC= (

2

−1+7

,

2

2+6

)=(3,4)

Mid point of BD =(

2

4+a

,

2

1+b

)

2

4+a

=3

2

1+b

=4

∴a=2,b=7

∴ The coordinate of fourth vertex =(2,7)

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