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Prove that the points (3,\ -2),\ (4,\...

Prove that the points `(3,\ -2),\ (4,\ 0),\ (6,\ -3)` and `(5,\ -5)` are the vertices of a parallelogram.

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Find the points of trisection of the line segment joining the point...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the ratio in which the line segment joining (-2,\ -3) and (5,\...

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  15. Prove that the points (4,\ 5),\ (7,\ 6),\ (6,\ 3),\ (3,\ 2) are the...

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  16. Prove that (4,\ 3),\ (6,\ 4),\ (5,\ 6) and (3,\ 5) are the angular ...

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  17. Prove that the points (-4,\ -1),\ (-2,\ -4),\ (4,\ 0) and (2,\ 3) a...

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  18. Find the lengths of the medians of a triangle whose vertices are A(...

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  19. Three vertices of a parallelogram are (a+b ,\ a-b),\ \ (2a+b ,\ 2a-...

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  20. If two vertices of a parallelogram are (3,\ 2),\ (-1,\ 0) and the ...

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