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Introduction To Trigonometry

Question
CBSEENMA10006995

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y

Solution

Let A(1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram.
We know that the diagonals of parallelogram bisect each other. So,
Coordinates of the mid-point of AC
= Coordinates of the mid-point of BD
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Hence, required values are x = 6 and y = 3.