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Find the ratio in which the line x-3y= 0...

Find the ratio in which the line x-3y= 0 divides the line segment joining the points (-2,-5) and (6,3). Find the coordinates of the points of intersection.

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AGRAWAL PUBLICATION-COORDINATE GEOMETRY-EXAMPLE
  1. Find a point which is equidistant from the points A(-5,4) and B(-1,6)?...

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

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  3. Find the ratio in which the line x-3y= 0 divides the line segment join...

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  4. Find the coordinates of the point Q on the x-axis which lies on the pe...

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

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  6. The line segment joinng the points A(2,1) and B(5,-8) is trisected at ...

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  7. If the point A(2,-4) is equidistant from P(3,8)and Q(-10,y), find the ...

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  8. If A (-2,1), B(a,0), C(4,b) and D(1,2) are the vertices of a parallelo...

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  9. Find the coordinates of the points of trisection of the line segment j...

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  10. If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in...

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  11. In what ratio does the point (24/11, y) divide the line segment joinin...

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  12. Find the ratio in which the line 2x+3y-5=0 divides the line segment jo...

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  13. Find the coordinates of a point on the x-axis which is equidistant fro...

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  14. Write the coordinates of a point P on x-axis which is equidistant from...

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  15. If the point (x, y) is equidistant from the points (a+b, b-a) and (a-b...

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  16. If the coordinates of points A and B are (-2,2) and (2,-4) respectivel...

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  17. The point R divides the line segment AB, where A(-4,0) and B(0,6) such...

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  18. Find the ratio in which the line segment joining the points (1,-3) and...

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  19. Find the ratio in which P(4,m) divides the line segment joining the po...

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  20. Prove that the points (3,0), (6,4) and (-1,3) are the vertices of a ri...

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