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

If the point `P(x ,\ y)` is equidistant from the points `A(5,\ 1)` and `B(1,\ 5)` , prove that `x=y` .

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Find the value of x such that P Q=Q R where the coordinates of P...

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

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

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

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  7. Two opposite vertices of a square are (-1,\ 2) and (3,\ 2) . Find t...

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  8. Name the quadrilateral formed, if any, by the following points, and...

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  9. Find the equation of the perpendicular bisector of the line segment...

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  10. Prove that the points (3,\ 0),\ (4,\ 5),\ (-1,\ 4) and (-2,\ -1) , ...

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  11. Find a point on y-axis which is equidistant from the points (5,\ -2...

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  12. Find a relation between x and y such that the point (x ,\ y) is ...

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  13. If a point A(0,\ 2) is equidistant from the points B(3,\ p) and C(p...

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

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

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

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

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

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

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