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(0, 0) divides (3, 5) and (−3, −5) internally in the ratio
Let (0, 0) divide (3, 5) and (−3, −5) internally in the ratio k:1. According to the question,3 - 3k = 0 3k = 3 k = 1 Hence, the origin divides (3, 5) and (−3, −5) internally in the ratio 1:1.
Coordinates of the centroid of a triangle with vertices (0, 0), (3, 0) and (4, 6) are
According to the question, Vertices of the triangle are (0, 0), (3, 0) and (4, 6).
If the centroid of a triangle is (4, 5) and the two vertices of the triangle are (2, −5) and (−5, 3), then find the remaining vertex.
Let one of the vertices of the triangle be (a, b). According to the question, and a - 3 = 12 a = 15
b - 2 = 15 b = 17 The remaining vertex is (15, 17).
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