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Coordinate Geometry

Short Answer Type

251. If A (-5, 7), B(-4, -5), C(—1, —6) and D(4, 5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

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252. Find the area of the quadrilateral the co-ordinates of whose vertices are (1, 2), (6, 2), (5, 3) and (3, 4).

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253. If A(-3, 2), B(5, 4), C(7, -6) and D(-5, 4) arc the vertices of a quadrilateral, find the area of the quadrilateral ABCD.

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254. Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of the triangle formed to the area of the given triangle.

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255. In what ratio does the point (-2, 3) divide the line segment joining the points (-3, 5) and (4, -9).

Solution not provided.

Ans. $1 over 6$

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256. Find the ratio in which the point (11, 15) divides the line-segment joining the points (15, 5) and (9, 20).

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257. Determine the ratio in which the point P(b, 1) divides the join of A(7, -2) and B(-5, 6). Also find the value of b.

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258. Determine the ratio in which the point P(K, 2) divides the join of A(-3, 5) and B(5, 1). Also Find the value of ‘K’.

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259.

Determine the ratio in which the point P(a, -2) divides the join of A(-4, 3) and B(2, -4). Also find the value of a.

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260. Find the value of ‘K’ for which the points of the co-ordinates (3, 2), (4, K) and (5, 3) are collinear.

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