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.
Solution not provided. Ans. k = - 8
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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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337.If C is a point on the line segment AB joining A( 1, 1) and B(2, - 3), such that 3 AC = CB, then find the coordinates of C.
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338.Find a relation between x and y if the points (x, y); (1, 2) and (7, 0) are collinear.
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Multiple Choice Questions
339.The distance between the points (4, - 3) and (0, 0) is
4
6
5
5
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Short Answer Type
340.
If (- 2, -1), (a, 0), (4, b) and (1, 2) arc the vertices of a parallelogram, then the values of a and b are:
Short Answer Type
Multiple Choice Questions
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