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Let ABC be a triangle. If P is a point such that AP divides BC in the ratio 4 : 7, BP divides CA in the ratio 6 : 5 then the ratio in which CP divides AB is

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7 : 5

35 : 24

4 : 5

24 : 35

answer is D.

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Detailed Solution

$\frac{A D}{D B} \times \frac{B E}{E C} . \frac{C F}{F A} = 1$ Question Image

$\frac{A D}{D B} \times \frac{4}{7} \times \frac{6}{5} = 1$

$\frac{A D}{D B} = \frac{35}{24}$

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