Question

(a) 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 0. If O is mid point of AC and BD then value of a and b
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Answer 1

$\huge\mathfrak\green{answer}$

We know that the diagonals of a parallelogram bisect each other. So, coordinates of the mid-point of diagonal AC are same as the coordinates of the mid-point of diagonal BD.

∴( 26+921+4 )=( 28+p , 22+3 )

⇒( 21525 )=( 28+pp25)

⇒ 215 = 28+p

⇒15=8+p⇒

p=7

Answer 2

Answer:

b= 1

a=5

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 0. If O is mid point of AC and BD then value of a and b