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If the centroid of the triangle formed by the points `(a ,\ b),\ (b ,\ c)` and `(c ,\ a)` is at the origin, then `a^3+b^3+c^3=` `a b c` (b) 0 (c) `a+b+c` (d) `3\ a b c`

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. The ratio in which (4,\ 5) divides the join of (2,\ 3) and (7,\ ...

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  2. The ratio in which the x-axis divides the segment joining (3,\ 6) a...

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  3. If the centroid of the triangle formed by the points (a ,\ b),\ (b ...

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  4. If points (1,\ 2),\ (-5,\ 6) and (a ,\ -2) are collinear, then a= ...

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  5. If the centroid of the triangle formed by (7,\ x),\ (y ,\ -6) and (...

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  6. The distance of the point (4,\ 7) from the x-axis is 4 (b) 7 (c)...

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  7. The distance of the point (4,\ 7) from the y-axis is 4 (b) 7 (c)...

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  8. If P is a point on x-axis such that its distance from the origin is...

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  9. If the point P(x ,\ y) is equidistant from A(5,\ 1) and B(-1,\ 5...

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  10. If points A(5,\ p),\ \ B(1,\ 5),\ \ C(2,\ 1) and D(6,\ 2) form a sq...

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  11. The coordinates of the circumcentre of the triangle formed by the p...

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  12. The coordinates of a point on x-axis which lies on the perpendicula...

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  13. If the centroid of the triangle formed by the points (3,\ -5),\ (-7...

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  14. If (-2,\ 1) is the centroid of the triangle having its vertices at ...

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  15. The coordinates of the fourth vertex of the rectangle formed by the...

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  16. The length of a line segment joining A(2,\ -3) and B is 10 units...

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  17. The ratio in which the line segment joining P(x1,\ y1) and Q(x2,\ y...

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  18. The ratio in which the line segment joining points A(a1,\ b1) and B...

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  19. If the coordinates of one end of a diameter of a circle are (2,\ 3)...

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  20. The coordinates of the point P dividing the line segment joining...

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