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Prove that the points A(2,\ 3),\ \ B(...

Prove that the points `A(2,\ 3),\ \ B(-2,\ 2),\ \ C(-1,\ -2),` and `D(3,\ -1)` are the vertices of a square `A B C D` .

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Find a point on the x-axis which is equidistant from the points (7,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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