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Prove that the points (- 1, 0), (0, 3), ...

Prove that the points (- 1, 0), (0, 3), (1, 3) and (0, 0) are the vertices of a parallelogram.

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KALYANI PUBLICATION-Co-ordinate Geometry-EXERCISE
  1. Find the co-ordinate of a point equidistant from the given point A(1, ...

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  2. Prove that the points (-1, 0), (3, 1), (2, 2), (-2, 1) are the vertice...

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  3. Prove that the points (- 1, 0), (0, 3), (1, 3) and (0, 0) are the vert...

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  4. Prove that the points (-2, –1), (1, 0), (4, 3), (1,2) are not the ver...

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  5. Prove that the points (a, b), (a, -b), (-a, b) and (-a, -b) are the ve...

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  6. Show that the quadrilateral with the vertices (3, 2), (0, 5), (-3, 2),...

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  7. Show that the quadrilateral with the vertices (0, 0), (a, 0), (a, a), ...

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  8. Show that the quadrilateral with the vertices (7, 3), (3, 0), (0, -4),...

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  9. Prove that (3, 4), (4, 2), (5, 4) and (4, 6) are the vertices of a rho...

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  10. If the co-ordinates of the points P, Q, S are (at^2, 2at), (a/t^2, (2...

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  11. If D is the middle point of the side BC of the triangle ABC, prove tha...

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  12. find the co-ordinates of the middle points of the line segment joining...

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  13. find the co-ordinates of the middle points of the line segment joining...

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  14. find the co-ordinates of the middle points of the line segment joining...

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  15. the end points of a line and the ratio in which it is divided by a poi...

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  16. the end points of a line and the ratio in which it is divided by a poi...

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  17. the end points of a line and the ratio in which it is divided by a poi...

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  18. the end points of a line and the ratio in which it is divided by a poi...

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  19. if(2, P) is the mid-point of the line segment joining to the point A(6...

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  20. if (x,3) is the mid-point of the line segment joining the points A(6,4...

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