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

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

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AGRAWAL PUBLICATION-COORDINATE GEOMETRY-EXAMPLE
  1. The points P (-2,4) lies on a circle of radius 6 and centre (3,5).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Find the area of quadrialteral ABCD having vertices at A(1,2), B(1,0),...

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  19. If the point C(-1,2) divides internally the line segment joining A(2,5...

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  20. Prove that the points (2,-2), (-2,1) and (5,2) are the vertices of a r...

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