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A(-8, O), B(0, 16) and C(0, 0) are the v...

A(-8, O), B(0, 16) and C(0, 0) are the vertices of a triangle ABC. Point P lies on AB and Q lies on AC such that AP : PB = 3 : 5 and AQ: QC = 3:5.
Show that : PQ = `(3)/(8)` BC.

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ICSE-SECTION AND MID-POINT FORMULA-EXERCISE 13 (C)
  1. Given a triangle ABC in which A = (4, -4) B = (0,5) and C = (5, 10). A...

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  2. A(20, 0) and B (10, -20) are two fixed points. Find the co-ordinates o...

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  3. A(-8, O), B(0, 16) and C(0, 0) are the vertices of a triangle ABC. Poi...

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  4. Find the co-ordinates of points of trisection of the line segment join...

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  5. A line segment joining A (-1,(5)/(3)) and B(a, 5) is divided in the r...

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  6. A line segment joining A (-1,(5)/(3)) and B(a, 5) is divided in the r...

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  7. In what ratio is the line joining A(0, 3) and B(4, -1) divided by the ...

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  8. The mid-point of the A segment AB, as shown in diagram, is C (4, -3). ...

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  9. AB is a diameter of a circle with centre C = (-2, 5). If A = (3, -7). ...

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  10. AB is a diameter of a circle with centre C = (-2, 5). If A = (3, -7). ...

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  11. Find the co-ordinates of the centroid of a triangle ABC whose vertices...

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  12. The mid-point of the line segment joining (4a, 23) and (-4, 3b) is (2,...

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

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  14. Write down the co-ordinates of the point P that divides the line joini...

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  15. write down the coordinate of the point p that divides the line joining...

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  16. write down the coordinate of the point p that divides the line joining...

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  17. Prove that the points A(-5, 4), B(-1, -2) and C(5, 2) are the vertices...

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  18. M is the mid-point of the line segment joining the points A(-3, 7) and...

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  19. Calculate the ratio in which the line joining A (-4, 2) and B (3, 6) i...

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  20. Determine the ratio in which the line 2x +y 4 = 0 divides the line ...

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