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Show that the points A(1,\ 0),\ \ B(5...

Show that the points `A(1,\ 0),\ \ B(5,\ 3),\ \ C(2,\ 7)` and `D(-2,\ 4)` are the vertices of a parallelogram.

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Find the distance of the point (1,\ 2) from the mid-point of the...

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  2. If A and B are (1,\ 4) and (5,\ 2) respectively, find the coordinat...

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  3. Show that the points A(1,\ 0),\ \ B(5,\ 3),\ \ C(2,\ 7) and D(-2,\ ...

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  4. Determine the ratio in which the point P(m ,\ 6) divides the joi...

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  5. Determine the ratio in which the point (-6,\ a) divides the join...

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  6. The line segment joining the points (3,\ -4) and (1,\ 2) is tris...

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  7. The line joining the points (2,\ 1) and (5,\ -8) is trisected at...

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  8. If A and B are two points having coordinates (-2,\ -2) and (2,\ -4)...

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  9. Find the coordinates of the points which divide the line segment jo...

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  10. A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . The ...

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  11. A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . Find th...

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  12. A(4,\ 2),\ B(6,5) and C(1,\ 4) are the vertices of A B C . Find the...

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  13. A B C D is a rectangle formed by joining the points A(-1,\ -1),\ \ ...

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  14. Show that A(-3,\ 2),\ \ B(-5,\ -5),\ \ C(2,\ -3) and D(4,\ 4) are the ...

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  15. Find the ratio in which the y-axis divides the line segment joining...

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

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  17. In what ratio does the point (-4,\ 6) divide the line segment jo...

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  18. Find the coordinates of a point A , here A B is a diameter of th...

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  19. Find the ratio in which the point P(-1,\ y) lying on the line se...

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  20. Points P ,\ Q ,\ R and S divide the line segment joining the points...

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