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प्रश्न
A(6, -2), B(3, -2) and C(S, 6) are the three vertices of a parallelogram ABCD. Find the coordinates of the fourth vertex c.
उत्तर
We know that in a parallelogram, diagonals bisect each other .
∴ midpoint of AC = midpoint of BD
14 = x + 3 , 4 = y - 2
x = 11 , y = 6
the coordinates of the fourth vertex Dare ( 11,6)
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∴ Mid point formula,
⇒
⇒ x =
⇒ x = – 6
and
⇒
⇒ y = 3
Hence coordinates of B is (– 6, 3).
