If (3, –4) and (–6, 5) are the extremities of the diagonal of a parallelogram and (–2, 1) is its third vertex, then its fourth vertex is
If (3, –4) and (–6, 5) are the extremities of the diagonal of a parallelogram and (–2, 1) is its third vertex, then its fourth vertex is
(1) (–1, 0)
(2) (0, –1)
(3) (–1, 1)
(4) none of these
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(1) (–1, 0)
Explanation
The centroid of the triangle coincides with the centroid of the triangle formed by joining the middle points of the sides of the triangle. Hence, the coordinates of the centroid of the given triangle are
[(4 + 3 + 2)/3,(2 + 3 + 2)/3] i.e [3,7/3]
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