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The line segment joinng the points A(2,1...

The line segment joinng the points A(2,1) and B(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 the value of k.

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AGRAWAL PUBLICATION-COORDINATE GEOMETRY-EXAMPLE
  1. Find the coordinates of the point Q on the x-axis which lies on the pe...

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

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  3. The line segment joinng the points A(2,1) and B(5,-8) is trisected at ...

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  5. If A (-2,1), B(a,0), C(4,b) and D(1,2) are the vertices of a parallelo...

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  6. Find the coordinates of the points of trisection of the line segment j...

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  7. If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in...

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  8. In what ratio does the point (24/11, y) divide the line segment joinin...

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  9. Find the ratio in which the line 2x+3y-5=0 divides the line segment jo...

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  10. Find the coordinates of a point on the x-axis which is equidistant fro...

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  11. Write the coordinates of a point P on x-axis which is equidistant from...

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  12. If the point (x, y) is equidistant from the points (a+b, b-a) and (a-b...

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  13. If the coordinates of points A and B are (-2,2) and (2,-4) respectivel...

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  14. The point R divides the line segment AB, where A(-4,0) and B(0,6) such...

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  15. Find the ratio in which the line segment joining the points (1,-3) and...

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  16. Find the ratio in which P(4,m) divides the line segment joining the po...

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  17. Prove that the points (3,0), (6,4) and (-1,3) are the vertices of a ri...

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  18. If the line segment joining the points A(2,1) and B(5,-8) is trisected...

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  19. In the given figure, triangle ABC, is an equilateral triangle of side ...

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