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If the points (2,\ 1) and (1,\ -2) ar...

If the points `(2,\ 1)` and `(1,\ -2)` are equidistant from the point `(x ,\ y)` , show that `x+3y=0` .

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Find the distance between the following pair of points: (asinalpha,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Which point on y-axis is equidistant from (2,\ 3) and (-4,\ 1) ?

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  18. The three vertices of a parallelogram are (3,\ 4),\ (3,\ 8) and (9,...

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  19. Find the circumcentre of the triangle whose vertices are (-2,\ -3),...

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  20. Find the centre of the circle passing through (5,\ -8),\ (2,\ -9) a...

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