281.Let the opposite angular points of a square be (3, 4) and (1, -1). Find the co-ordinates of the remaining angular points.
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282.The area of a triangle is 5. Two of its vertices are (2, 1) and (3, 2). The third vertex is (x, y) where y = x + 3. Find the co-ordinates of the third vertex.
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283.Determine the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8). Also find the value of m.
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284.Determine the ratio in which the point (-6, a) divides the join of A( 3, -1) and B(-8, 9). Also find the value of a.
285.The co-ordinates of the mid-point of the line joining the point (3p, 4) and (- 2, 2q) are (5, p). Find the values of p and q.
Solution not provided.
Ans. p = 4, q =2
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286.Two vertices of a triangles are (1, 2) and (3, 5). If the centroid of the triangle is at the origin, find the co-ordinates of the third vertex.
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287. If ‘a’ is the length of one of the sides of an equilateral triangle ABC, base BC lies on x-axis and vertex B is at the origin, find the co-ordinates of the vertices of the triangle ABC.
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288.The co-ordinates of the mid-point of the line joining the points (2p + 1, 4) and (5, q - 1) are (2p, q). Find the value of p and q.
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289.Find the ratio in which the line segment joining the points (6, 4) and (1, - 7) is divided by x-axis.
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290.The co-ordinates of two vertices A and B of a triangle ABC are (1, 4) and (5, 3) respectively. If the co-ordinates of the centroid of ∆ABC arc (3, 3), find the co-ordinates of the third vertex C.
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