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Coordinate Geometry

Short Answer Type

321. If A(4, -8), B(3, 6) and C(5,-4) are the vertices of a ∆ABC, D is the mid-point of BC and P is a point on AD joined such that

AP over PD equals 2 comma

find the coordinate of P.

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322. The line joining the points (2, -1) and (5, -6) is bisected at P. If P lies on the line 2x + 4y + K = 0, find the value of K.

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323. If the vertices of triangle are (2, 4), (5, K), (3, 10) and its area at K.

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324. Find the value of K if the points (K, 3), (6, -2) and (-3, 4) are collinear.

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325. If P divides the join at A(-2, 2) and B(2, -4) such that

AP over AB equals 3 over 7 comma space

find the coordinates of P.

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326. The mid-point of the sides of a triangle are (5, 4), (4, 6) and (5, 7). Find the coordinates of the vertices of the triangle. (6, 9) (4, 5) and (2, 3)

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327. Find a relation between x and y if the point S(2, 1), (x, y) and (7, 5) are collinear.

Solution not provided.

Ans. 4x - 5y = 3

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328. A(- 4, - 2), B(- 3, - 5), C(3, - 2) and D(2, 15) arc the vertices of a quadrilateral ABCD. Find the value of k, if the area of the quadrilateral is 28 sq. units.

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329.

Find the distance between the points

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

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