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Find the ratio in which the line 2x+3y-5...

Find the ratio in which the line `2x+3y-5=0` divides the line segment joining the points (8,-9) and (2,1). Also find the coordinates of the points of division.

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The correct Answer is:
`(8,3,-1/9)`
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EDUCART PUBLICATION-COORDINATE GEOMETRY -SHORT ANSWER (SA-II) TYPE QUESTIONS 3 MARKS
  1. In what ratio does the point P(-4, y) divide the line segment joining ...

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  2. Find the coordinates of the point of intersection of x - 3y = 0 and th...

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  3. Find the coordinates of the point Q on the X- axis which lies on the ...

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

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

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

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  7. If A(-2,-1),B(p,0),C(4,q) and D(1,2) are the vertices of a parallelogr...

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  8. Find the coordinates of the point of bisection of the line segment joi...

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

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

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

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

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  13. If the point P(x, y) is equidistant from the points A(a + b, b - a) an...

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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 coordinates of points A and B are (-2, -2) and (2, -4) respecti...

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

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

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

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

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

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