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show that the poins :- P (4, 4), Q (2,-...

show that the poins :- P (4, 4), Q (2,-3), R (- 5,- 5) and S (- 3, 2) are the corners of a rhombus.

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Show that the points (5, - 1, 1),(7, - 4, 7), (1, - 6, 10) and (- 1, -3, 4) are the vertices of a rhombus.

Show that the points : (4, 7, 8), (2, 3, 4), (- 1, - 2, 1), (1, 2, 5) are the vertices of a parallelogram.

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MBD-COORDINATE GEOMETRY-EXERCISE
  1. Show that the points : P (1, 2), Q (5, 4), R (3, 8) and S (-1, 6) are...

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  2. Show that the points : D (6, 2), E (2, 1), F (1, 5) and G (5, 6) are ...

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  3. show that the poins :- P (4, 4), Q (2,-3), R (- 5,- 5) and S (- 3, 2)...

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  4. Show that the points : A (7, 3), B (3, 0), C (0, -4) and D (4, - 1) ...

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  5. The vertices of a quadrilateral are points A (- 4, 3), B (0, 0), C (4,...

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  6. Show that the point :- (4, 3), (2, 0) and (- 4,-9) are collinear.

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  7. Show that the point :- (4, 2), (7, 5) and (9, 7) are collinear.

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  8. Find the value of x such that PQ = QR, where P, Q and R are (6,- 1), (...

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  9. Find the point on x-axis, which is equidistant from points (7, 6) and ...

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  10. What points on y-axis is equidistant from the points (- 3, 4) and (7, ...

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  11. Find the points on y-axis which is equidistant from points (5, 2) and ...

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  12. Find the points on x-axis which is equidistant from the points (7, 6) ...

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  13. If ‘a’ is the length of one of the sides of an equilateral triangle AB...

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  14. Find the abscissae of points whose ordinate is 4 and which are at a di...

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  15. Given A = (3, 0) and B = (0, b-2), Find b if AB = 5.

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  16. Given A = (a + 2,- 1) and B = (11, 7). Find a if AB = 17.

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  17. A point P is at a distance of sqrt10 from the points (4,3).Find theco...

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  18. The distance between the points (3, 1) and (0, y) is 5. Find y.

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  19. A point A (2,-1) is equidistant from the points (b,-7) and (- 3, b). F...

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  20. Find the co-ordinates of points on x-axis which are at a distance of 1...

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