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If (-4, 0) and (4,0) are two vertices of...

If (-4, 0) and (4,0) are two vertices of an equilateral triangle, find the coordinates of its third vertex.

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. If P(2,\ -1),\ \ Q(3,\ 4),\ \ R(-2,\ 3) and S(-3,\ -2) be four poin...

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

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

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

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

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

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

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

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

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

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  11. Show that the points (1, 7), (4, 2), (-1, -1) a n d ( -4, 4) are the v...

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

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

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

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

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

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

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

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  19. Prove that the points (-2,\ 5),\ (0,\ 1) and (2,\ -3) are collin...

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  20. The coordinates of the point P are (-3,\ 2) . Find the coordinat...

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