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If the point P(x ,\ 3) is equidist...

If the point `P(x ,\ 3)` is equidistant from the points `A(7,\ -1)` and `B(6,\ 8)` , find the value of `x` and find the distance `A P` .

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. If a point A(0,\ 2) is equidistant from the points B(3,\ p) and C(p...

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  2. Show that the points A(7, 10), B(-2, 5) and C(3, -4) are the vertices ...

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  3. If the point P(x ,\ 3) is equidistant from the points A(7,\ -1) ...

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  4. If A(3,\ y) is equidistant from points P(8,\ -3) and Q(7,\ 6) , fin...

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  5. If the point A(0,\ 2) is equidistant from the points B(3,\ p) an...

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  6. If the point P(k-1,\ 2) is equidistant from the points A(3,\ k) ...

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  7. Find the coordinates of the points which divides the line segment j...

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  8. In what ratio does the y-axis divide the line segment joining the p...

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  9. Find the ratio in which the point (-3,\ p) divides the line segm...

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  10. Point P divides the line segment joining the points A(-1,\ 3) and B...

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  11. Point P divides the line segment joining the points A(2,1)and B(5,-8) ...

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  12. Prove that (4,\ -1),\ (6,\ 0),\ (7,\ 2) and (5,\ 1) are the vertice...

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  13. If the points A(6,\ 1),\ \ B(8,\ 2),\ \ C(9,\ 4) and D(p ,\ 3) are ...

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  14. Find the lengths of the medians of a A B C whose vertices are A...

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  15. Find the coordinates of the point which divides the line segment jo...

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  16. Find the points of trisection of the line segment joining the point...

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  17. Find the coordinates of the point where the diagonals of the parall...

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  18. Prove that the points (3,\ -2),\ (4,\ 0),\ (6,\ -3) and (5,\ -5) ar...

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  19. Three consecutive vertices of a parallelogram are (-2,\ -1),\ (1,\ ...

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  20. The three vertices of a parallelogram ABCD taken in order are A(3, -4)...

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