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If P(2,\ -1),\ \ Q(3,\ 4),\ \ R(-2,\ 3) ...

If `P(2,\ -1),\ \ Q(3,\ 4),\ \ R(-2,\ 3)` and `S(-3,\ -2)` be four points in a plane, show that `P Q R S` is a rhombus but not a square. Find the area of the rhombus.

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Do the points A(3,\ 2),\ \ B(-2,\ -3) and C(2,\ 3) form a triang...

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

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  3. If P(2,\ -1),\ \ Q(3,\ 4),\ \ R(-2,\ 3) and S(-3,\ -2) be four poin...

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  4. Find the co-ordinates of the centre of the circle passing through the ...

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  5. If (-4, 0) and (4,0) are two vertices of an equilateral triangle, find...

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  6. Find the distance between the following pair of points: (-6,\ 7) an...

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  7. Find the distance between the following pair of points: (asinalpha,...

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  8. Find the value of a when the distance between the points (3,\ a)...

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  9. If the points (2,\ 1) and (1,\ -2) are equidistant from the poin...

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  10. Find the values of x ,\ y if the distances of the point (x ,\ y)...

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

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  12. Show that the points A(1,\ -2),\ \ B(3,\ 6),\ \ C(5,\ 10) and D(3,\...

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  13. Show that the points (1,"\ "7),"\ "(4,"\ "2),"\ "(1,"\ "1)"\ "a n d"\ ...

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  14. Prove that the points (3, 0), (6, 4) and (-1, 3) are the vertices of a...

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  15. Prove that (2,\ -2),\ (-2,\ 1) and (5,\ 2) are the vertices of a ri...

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  16. Prove that the points (2a, 4a), (2a, 6a) and (2a+sqrt3a , 5a) are the...

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  17. . An equilateral triangle has two vertices at the points (3, 4) and (2...

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  18. If P(2,-1), Q (3,4), R(-2,3) and S (-3,-2) are four points in a plane,...

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  19. Two vertices of an isosceles triangle are (2,\ 0) and (2,\ 5) . Fin...

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  20. Which point on x-axis is equidistant from (5, 9) and (-4, 6)

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