Example 10: If the points A(6, 1), B(8, 2), C(9, 4) and D(p), 3) are the vertices o
parallelogram, taken in order, find the value of p. by section formula
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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+9,21+4)=(28+p,22+3)
⇒(215,25)=(28+p,25)
⇒215=28+p⇒15=8+p⇒p=7
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