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Mathematics : Coordinate Geometry

Short Answer Type

291. Find the value of m for which the points with co-ordinates (3, 5), (m, 6) and

open parentheses 1 half comma space 15 over 2 close parentheses

are collinear.

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

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293. Find the value of K for which the points with co-ordinates (2, 5),

open parentheses straight K comma space 11 over 2 close parentheses

and (4, 6) are collinear.

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294. The line-segment joining the points (3, -4) and (1, 2) is trisected at the points P and Q. If the are co-ordinates of P and Q(p, -2) and

open parentheses 5 over 3 comma space straight q close parentheses

respectively, find the value of p and q.

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295. Find the value of x such that PQ = QR where the co-ordinates of P, Q and R are (6, -1); (1, 3) and (x, 8) respectively.

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296. Find a point on x-axis which is equidistant from the points (7, 6) and (-3, 4).

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297. The line joining the points (2, 1) and (5, -8) is trisected at the points P and Q. If point P lies on the line 2x - y + K = 0, find the value of K.

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298.

If the co-ordinates of the mid-points of the sides of a triangle are (1, 2), (0, -1) and (2, -1), find the co-ordinates of its vertices.

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299.

Find the co-ordinates of the point equidistant from the points A(1, 2), B(3, -4) and C(5, -6).

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300. Find the co-ordinates of the points which divides the line segment joining the points (-4, 0) and (0, 6) in three equal parts.

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