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Point P divides the line segment joining...

Point P divides the line segment joining the points `A(2,1)and B(5,-8)` such that `(AP)/(AB)=1/3.` If P lies on the line 2x - y + k =0, find the value of k.

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Find the ratio in which the point (-3,\ p) divides the line segm...

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  2. Point P divides the line segment joining the points A(-1,\ 3) and B...

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  3. Point P divides the line segment joining the points A(2,1)and B(5,-8) ...

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  4. Prove that (4,\ -1),\ (6,\ 0),\ (7,\ 2) and (5,\ 1) are the vertice...

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  5. If the points A(6, 1), B(8, 2), C(9, 4) and D(p, 3) are the vertice...

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  6. Find the lengths of the medians of a A B C whose vertices are A...

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  7. Find the coordinates of the point which divides the line segment jo...

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  8. Find the points of trisection of the line segment joining the point...

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  9. Find the coordinates of the point where the diagonals of the parall...

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  10. Prove that the points (3,\ -2),\ (4,\ 0),\ (6,\ -3) and (5,\ -5) ar...

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  11. Three consecutive vertices of a parallelogram are (-2,\ -1),\ (1,\ ...

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  12. The three vertices of a parallelogram ABCD taken in order are A(3, -4)...

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  13. Find the ratio in which the point (2,\ y) divides the line segme...

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  14. If A(-1,\ 3),\ \ B(1,\ -1) and C(5,\ 1) are the vertices of a trian...

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  15. If the coordinates of the mid-points of the sides of a triangle are...

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  16. If a vertex of a triangle be (1,\ 1) and the middle points of th...

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  17. In what ratio is the line segment joining the points A(-2, -3) and B(...

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  18. In what ratio is the line segment joining (-3,\ -1) and (-8,\ -9) d...

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  19. If the middle point of the line segment joining (3, 4) and (k, 7) is (...

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  20. In what ratio does the line x -y - 2 = 0 divides the line segment join...

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