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If the centroid of the triangle formed by points `P(a ,\ b),\ \ Q(b ,\ c)` and `R(c ,\ a)` is at the origin, what is the value of `a+b+c` ?

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. What is the area of the triangle formed by the points O(0,\ 0),\ \ ...

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  2. Write the coordinates of the point dividing line segment joining po...

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

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  4. If the centroid of the triangle formed by points P ( a , b ) , ...

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  5. Write the coordinates of a point on X -axis which is equidistant...

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  6. If the mid-point of the segment joining A(x ,\ y+1) and B(x+1,\ y+2...

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  7. Two vertices of a triangle have coordinates (-8,\ 7) and (9,\ 4) . ...

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  8. Write the coordinates the reflections of point (3,\ 5) in X and Y -...

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  9. If points Q and R reflections of point P(-3,\ 4) in X and Y axes ...

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  10. Write the formula for the area of the triangle having its vertices ...

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  11. Write the condition of collinearity of points (x1,\ y1),\ \ (x2,\ y...

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  12. Find the values of x for which the distance between the point P(...

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  13. Write the ratio in which the line segment joining the points A(3,\ ...

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  14. Find the distance between the points (-8/5,\ 2) and (2/5,\ 2)

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  15. Find the value of a so that the point (3,\ a) lies on the lin...

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  16. What is the distance between the points A(c ,\ 0) and B(0,\ -c) ?

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  17. If P(2,\ 6) is the mid-point of the line segment joining A(6,\ 5) a...

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  18. If the distance between the points (3,\ 0) and (0,\ y) is 5 units ...

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  19. If P(x ,\ 6) is the mid-point of the line segment joining A(6,\ 5) ...

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  20. If P(2,\ p) is the mid-point of the line segment joining the points...

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