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Prove that (4,\ -1),\ (6,\ 0),\ (7,\ 2) ...

Prove that `(4,\ -1),\ (6,\ 0),\ (7,\ 2)` and `(5,\ 1)` are the vertices of a rhombus. Is it a square?

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Point P divides the line segment joining the points A(-1,\ 3) and B...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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