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Prove that the points (4,\ 5),\ (7,\ ...

Prove that the points `(4,\ 5),\ (7,\ 6),\ (6,\ 3),\ (3,\ 2)` are the vertices of a parallelogram. Is it a rectangle.

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. In what ratio does the line x -y - 2 = 0 divides the line segment join...

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  2. Find the ratio in which the line segment joining (-2, -3) and (5, 6)...

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

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

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  5. Show that the points (-4,\ -1),\ \ (-2,\ -4),\ \ (4,\ 0) and (2,\ 3)...

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

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

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

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  9. If the points (-2,\ -1),\ (1,\ 0),\ (x ,\ 3) and (1,\ y) form a ...

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  10. The points A(2,\ 0),\ \ B(9,\ 1),\ \ C(11 ,\ 6) and D(4,\ 4) are the ...

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  11. If three consecutive vertices of a parallelogram are (1,\ -2),\ (3,...

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  12. If the points A(a ,\ -11),\ \ B(5,\ b),\ \ C(2,\ 15) and D(1,\ 1) a...

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  13. If the coordinates of the mid-points of the sides of a triangle be ...

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  14. Find the lengths of the medians of a A B C having vertices at A...

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  15. Find the lengths of the medians of a A B C having vertices at A(5...

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

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  17. Show that the mid-point of the line segment joining the points (5,\7...

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  18. Find the distance of the point (1,\ 2) from the mid-point of the...

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  19. If A and B are (1,\ 4) and (5,\ 2) respectively, find the coordinat...

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  20. Show that the points A(1,\ 0),\ \ B(5,\ 3),\ \ C(2,\ 7) and D(-2,\ ...

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