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Show that the following points are the v...

Show that the following points are the vertices of a rectangle :
(i) `A(4, 2), B(0, -4), C(-3, -2), D(1, 4)`
(ii) `A(1,-1), B(-2, 2), C(4, 8), D(7, 5)`

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NAGEEN PRAKASHAN-CO-ORDINATE GEOMETRY-Exercise 7a
  1. Find the distance between the following points : (i) A(-6, 4) and B(2...

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  2. Find the distance of the following points from origin : (i) (3, -4) ...

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  3. Find the distance between the points (a, b) and (-b, a).

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  4. Find the distance between the points (2a, 3a) and (6a, 6a).

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  5. Find the distance between origin and the point (a, -b).

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  6. If the distance between the points (6, 0) and (0, y) is 10 units, find...

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  7. If the distance between the points (3, x) and (-2, -6) is 13 units, th...

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  8. Prove that the distance between the origin and the point (-6, -8) is t...

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  9. Find the co-ordinates of a point whose absicissa is 10 and its distanc...

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  10. Prove that the following points are the vertices of a right-angled tri...

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  11. Prove that the following points are the vertices of an isosceles right...

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  12. Prove that the points (-1, -2), (-2, -5), (-4, -6) and (-3, -3) are th...

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  13. Prove that the poins (-4, -3), (-3, 2), (2, 3) and (1, -2) are the ver...

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  14. Show that the following points are the vertices of a rectangle : (i)...

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  15. Show that the points A(2, 1), B(0,3), C(-2, 1) and D(0, -1) are the ve...

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  16. Show that the points (1, 1), (2, 3) and (5, 9) are collinear.

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  17. Show that the points (0, 0) , (5, 3) and (10, 6) are collinear.

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  18. Show that the points (-3, 2), (2, -3) and (1, 2sqrt(3)) lie on the cir...

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  19. If the point (x, y) is equidistant from the points (a+b, b-a) and (a-b...

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  20. If (1, 1) and (1, 8) are the opposite vertices of a square, then find ...

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