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Points A(4,3), B(6,4), C(5,-6) and D(-3,...

Points A(4,3), B(6,4), C(5,-6) and D(-3,5) are the vertices of a parallelogram.

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AGRAWAL PUBLICATION-COORDINATE GEOMETRY-EXAMPLE
  1. triangle ABC with vertices A(-2,0), B(2,0) and C(0,2) is similar to tr...

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  2. Point P(-4,2) lies on the line segment joining the points A(-4,6) and...

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  3. Points A(4,3), B(6,4), C(5,-6) and D(-3,5) are the vertices of a paral...

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  4. Point P(5,-3) is one of the two points of trisection of the line segme...

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  5. The points P (-2,4) lies on a circle of radius 6 and centre (3,5).

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  6. The points A(-1,-2), B(4,3), C(2,5) and D(-3,0) in that order form a r...

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  7. Find the distance of a point P(x,y) from the origin.

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  8. The coordinate of a point A, where AB is the diameter of a circle whos...

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  9. Find the distance between the points (a,b) and (-a,-b).

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  10. Find the value of 'a' so that the point (3,a) lies on the line represe...

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  11. The mid-point of the line segment joining A(2a,4) and B(-2,3b) is (1, ...

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  12. Determine the ratio in which the line y - x + 2 = 0 divides the line...

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  13. If two adjacent vertices of a parallelogram are (3,2) and (-1,0) and t...

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  14. In what ratio does the point P(-4,6) divide the line segment joining t...

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  15. Find the ratio in which the point (-3,k) divides the line segment join...

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  16. A line intersects the y-axis and x-axis at the points P and Q respecti...

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  17. If the distance of P(x,y) from A(5,1) and B(-1,5) are equal, then prov...

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  18. The coordinates of houses of Sonu and Labhoo are (7,3) and (4,3) respe...

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  19. The points A(4, 7), B(p, 3) and C(7, 3) are the vertices of a right tr...

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  20. The class X students of a secondary school have been alloted a rectang...

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