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Coordinate Geometry

Short Answer Type

261. Find the co-ordinates of the points of trisection of the line segment joining (1, 2) and (11, 9).

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262. Find the point on the y-axis which is equidistant from (-5, -2) and (3, 2).

Solution not provided.

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263. The value of k, if P(0, 2) is equidistant from (3, k) and (k, 5) is

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264. If (3, 0), (2, a) and (b, 6) are the vertices of a ∆ABC whose centroid is (2, 5) then the values of ‘a’ and ‘b’ are :

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265. The ratio in which the line segment joining the points A(3, - 6) and B(5, 0) is divided by x-axis:

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266. An equilateral triangle has two vertices at the points (3, 4) and (-2, 3). Find the co-ordinate of third vertex.

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267. In what ratio is the join of (4, 3) and (2, 6) divided by x-axis. Also find the co-ordinate of the point of intersection.

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268. Find the co-ordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).

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269. Find the co-ordinates of the points of trisection of the line segment joining (1, 2) and (11, 9).

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270.

Find the co-ordinates of the points of trisection of the line segment AB whose end points are A(1, -2) and B(-3, 4).

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