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Find the length of MP, if P divides the line segment MN having the length of 26 cm in the ratio of 10:3.

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20 cm

21 cm

23 cm

29 cm

answer is A.

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Detailed Solution

P divides the line segment MN in the ratio of 10:3.

Let MP=10x and PN=3x

MN = 26 cm

MP + PN = 26

$\Rightarrow$ 10x+3x=26

$\Rightarrow$ 13x=26

$\Rightarrow$ x= 2

$∴$ MP=10x=10 × 2=20 cm

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