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Prove that the points (-2,\ 5),\ (0,\...

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

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Two vertices of an isosceles triangle are (2,\ 0) and (2,\ 5) . Fin...

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

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

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

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

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

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

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

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  9. Find the value of k , if the point P(0,\ 2) is equidistant fr...

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  10. Find the coordinates of the circumcentre of the triangle whose vert...

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  11. Find a point on the x-axis which is equidistant from the points (7,...

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

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  13. Prove that the points A(2,\ 3),\ \ B(-2,\ 2),\ \ C(-1,\ -2), and D(...

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  14. Find the point on x-axis which is equidistant from the points (-2,\...

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  15. Find the value of x such that P Q=Q R where the coordinates of P...

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  16. Prove that the points (0,\ 0),\ \ (5,\ 5) and (-5,\ 5) are the v...

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  17. If the point P(x ,\ y) is equidistant from the points A(5,\ 1) a...

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  18. If Q(0,\ 1) is equidistant from P(5,\ -3) and R(x ,\ 6) , find the ...

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  19. Find the values of y for which the distance between the points P...

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  20. Find the centre of the circle passing through (6,\ -6),\ (3,\ -7) a...

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