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If three points (0,\ 0),\ (3,\ sqrt(3...

If three points `(0,\ 0),\ (3,\ sqrt(3))` and `(3,\ lambda)` form an equilateral triangle, then `lambda=` (a) 2 (b) `-3` (c) `-4` (d) None of these

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. The length of a line segment is of 10 units and the coordinates of one...

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  2. The perimeter of the triangle formed by the points (0,\ 0),\ (1,\ 0...

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  3. If three points (0,\ 0),\ (3,\ sqrt(3)) and (3,\ lambda) form an ...

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  4. If the points (k ,\ 2k),\ (3k ,\ 3k) and (3,\ 1) are collinear, ...

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  5. The coordinates of the point on X -axis which are equidistant fr...

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  6. If (-1,\ 2),\ (2,\ -1) and (3,\ 1) are any three vertices of a paral...

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  7. If A(5,\ 3),\ \ B(11 ,\ -5) and P(12 ,\ y) are the vertices of a ri...

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  8. If (x ,\ 2),\ (-3,\ -4) and (7,\ -5) are collinear, then x= (a) 60...

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  9. If points (t ,\ 2t),\ (-2,\ 6) and (3,\ 1) are collinear, then t= ...

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  10. If the area of the triangle formed by the points (x ,\ 2x),\ (-2,\ ...

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  11. If points (a ,\ 0),\ (0,\ b) and (1,\ 1) are collinear, then 1/a+1/...

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  12. If the centroid of a triangle is (1,\ 4) and two of its vertices...

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  13. The line segment joining points (-3,\ -4) , and (1,\ -2) is divided...

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  14. The ratio in which (4,\ 5) divides the join of (2,\ 3) and (7,\ ...

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

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

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

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

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

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

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