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Prove that the points (a, b), (a, -b), (...

Prove that the points (a, b), (a, -b), (-a, b) and (-a, -b) are the vertices of a rectangle.

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KALYANI PUBLICATION-Co-ordinate Geometry-EXERCISE
  1. Prove that the points (- 1, 0), (0, 3), (1, 3) and (0, 0) are the vert...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. in what ratio does the point P(2,5) divide the line joining the point...

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  20. find the ratio in which the point P(-6,a) divides the joint of A(-5,-...

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