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311. If A(5, -1), B(-3, -2) and C(-1, 8) are the vertices of triangle ABC, find the length of median through A and the co-ordinate of the centroid.

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312. In what ratio does the line x - y - 2 = 0, divides the line segment joining (3, -1) and (8, 9)?

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313. Find the ratio in which the points (-3, K) divides the line segment joining the points (-5, -4) and (-2, 3). Hence find the value of K.

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314. Three consecutive vertices of a parallelogram are (-2, 1); (1. 0) and (4, 3). Find the co-ordinates of the fourth vertex.

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315. If the point C(-1, 2) divides the line segment AB in the ratio 3 : 4, where the co-ordinates of A are (2, 5), find the co-ordinates of B.

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316. For what value of P, are the points (2, 1), (P, -1) and (-1, 3) are collinear?

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317. Difermine the ratio in which the line 3n + 4y - 9 = 0 divides the line segment joining the points (1, 3), (2, 7).

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318. For what value of K are the points (1, 1), (3, K) and (-1, 4) collinear.

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319. Find the area of the ∆ABC with vertices A(-5, 7), B(-4. 5), and C(4, 5).

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320. The co-ordinates of A and B are (1, 2) and (2, 3) respectively. If P lies on AB, find the coordinates of P such that

AP over PB equals 4 over 3

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