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Coordinate Geometry

Short Answer Type

331.

The line segment joining, the points A(2, 1)andB(5, 8) is trisected at the points P and Q such that P is nearer to A. If P also lies on the line given by 2x - y + k = 0, find k.

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332. If the points A (4, 3) and B(x, 5), are on the circle with the centre 0(2, 3), find the value of x.

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333. 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).

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334. Find the area of the quadrilateral ABCD whose vertices are A(1, 0), B(5, 3), C(2, 7) and D(- 2, 4).

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335. If the mid-point of the line segment joining the points P(6, b - 2) and Q(- 2, 4) is (2, - 3), find the value of b.

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336. The centre of a circle is (2α -1, 7) and it passes through the point (- 3, - 1). If the diameter of the circle is 20 units, then find the value(s) of α.

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