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For the following construction, If a point P on line AB which divides it in the ratio 3: 4, then find length AP.

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2.779 cm

2.571 cm

3.112 cm

2.466 cm

answer is B.

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Detailed Solution

Let AB = 6 cm.

Take a point ‘P’ on it which divides it into the 3: 4,

Hence, 3x + 4x = 6
=> 7x = 6
=> x = $\frac{6}{7}$
Thus, 3x = 3 x 0.857 = 2.571 cm
Hence, P will be the distance of 2.571 from point A of segment AB.

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