271.Determine the ratio in which the line 2x + 3y - 30 = 0 divides the join of A(3, 4) and B(7, 8). Also find the co-ordinates of the point of division.
272.The mid-points of the sides of a triangle have co-ordinates
Find the co-ordinates of the vertices of the triangle.
Solution not provided
Ans. (-7, 6), (8, 5), (2-2)
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273. If ‘a’ is the length of one of the sides of an equilateral ∆ABC, base BC lies on x-axis and vertex B is at origin. Find the co-ordinates of the vertices of ∆ABC.
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274.Find the value of ‘m’ for which the points with co-ordinates (3, 5), (m, 6) and
are collinear.
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275.(-2, 2), (x. 8) and (6, y) are three concyclic points, whose centre is (2. 5), find the possible values of x and y.
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276.Find the lengths of the medians of the triangle whose vertices are (1, 1), (0, 4) and (-5. 3).
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277.Find the vertices of the triangle, the mid-points of whose sides are (3, 1), (5, 6) and (-3, 2).
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278.The given fig. (7. 41) shows points A and B on x-axis and y-axis respectively.
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279.
The co-ordinates of points A and B are (1, 2) and (2, 3) respectively. Find the co-ordinates of point P. in AB. so that AP : PB 4 : 3.
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280.Find the co-ordinates of the centre of the circle passing through the points (0, 0), (-2, 1) and (-3, 2). Also, find its radius.
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