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If P (9a-2,-b) divides line segment join...

If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in the ratio `3 : 1`, then find the values of a and b.

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ICSE-SECTION AND MID-POINT FORMULA-QUESTIONS
  1. If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in...

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  2. Find the co-ordinates of point P which divides the line joining A (4...

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  3. Find the ratio in which the point (5,4) divides the line joining point...

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  4. In what ratio is the joining the points (4,2) and (3,-5) divided by th...

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  5. Calcuate the ratio in which the line joining the points (4,6) and (-5,...

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  6. The origin O,B (-6,9) and C (12, -3) are vertices of triangle OBC, Poi...

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  7. Find the co-ordinates of the points of trisection of the segment joini...

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  8. Show that P (3,m -5) is a point of trisection of the line segment joi...

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  9. If the point P(-1,2) divides the join of points A(2, 5) and B(a, b) in...

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  10. Find the co-ordinates of the mid point of the line segment joining the...

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  11. The mid - point of line segment AB (shown in the diagram) is (-3, 5), ...

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  12. Points A(7, -4), B(-5, 5) and C(-3, 8) are vertices of triangle ABC, F...

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  13. A (14, -2), B(6, -2) and D (8,2) are the three vertices of a parallel...

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  14. The mid-point of the segment joining (3m, 6) and (-4, 3n) is (1, 2m, -...

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  15. The point A(3, - 5) is reflected in the point P (-4, 3) as point A'. F...

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  16. If the mid-point of the segment joining the points A(3,4) and B(k,6) i...

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  17. Find the co-ordinates of the point of intersection of the medians of t...

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  18. ABC is a triangle and G (4, 3) is the centroid of the triangle. If A =...

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