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The coordinates of the point which is eq...

The coordinates of the point which is equidistant from the three vertices of the `triangle AOB` as shown in the figure is:

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AGRAWAL PUBLICATION-COORDINATE GEOMETRY-EXAMPLE
  1. The point on the x-axis which is equidistant from (-4,0) and (10,0) is...

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  2. The coordinates of the point which is equidistant from the three verti...

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  3. A circle drawn with origin as the centre passes through (13/2,0). The ...

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  4. AOBC is a rectangle whose three vertices are A(0,-3), O(0,0) and B(4,0...

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  5. The centroid of the triangle whose vertices are (4,-8), (-9,7) and (8,...

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  6. The ratio in which x-axis divides the line segment joining the point (...

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  7. The mid-point of the line segment AB is (4,0). If the cordinate of poi...

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  8. Distance of a point (-24,7) from the origin (in units) is………….

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  9. triangle ABC with vertices A(-2,0), B(2,0) and C(0,2) is similar to tr...

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

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

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

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

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

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

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

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

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

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

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