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The line joining the points (2,\ 1) a...

The line joining the points `(2,\ 1)` and `(5,\ -8)` is trisected at the points `P` and `Q` . If point `P` lies on the line `2x-y+k=0` . Find the value of `k` .

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Determine the ratio in which the point (-6,\ a) divides the join...

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  2. The line segment joining the points (3,\ -4) and (1,\ 2) is tris...

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  3. The line joining the points (2,\ 1) and (5,\ -8) is trisected at...

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  4. If A and B are two points having coordinates (-2,\ -2) and (2,\ -4)...

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  5. Find the coordinates of the points which divide the line segment jo...

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  6. A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . The ...

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  7. A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . Find th...

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  8. A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . Find the...

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  9. A B C D is a rectangle formed by joining the points A(-1,\ -1),\ \ ...

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  10. Show that A(-3,\ 2),\ \ B(-5,\ -5),\ \ C(2,\ -3) and D(4,\ 4) are the ...

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  11. Find the ratio in which the y-axis divides the line segment joining...

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  12. If the points A(6,\ 1),\ \ B(8,\ 2),\ \ C(9,\ 4) and D(k ,\ p) are ...

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  13. In what ratio does the point (-4,\ 6) divide the line segment jo...

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  14. Find the coordinates of a point A , here A B is a diameter of th...

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  15. Find the ratio in which the point P(-1,\ y) lying on the line se...

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  16. Points P ,\ Q ,\ R and S divide the line segment joining the points...

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  17. Find the ratio in which the point P(x ,\ 2) divides the line seg...

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  18. Find the ratio in which the line segment joining the points A(3,\ -...

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  19. Find the ratio in which the point P((3)/(4), (5)/(12)) divides the lin...

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  20. Find the coordinates of the centroid of a triangle whose vertices a...

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