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Division of a Line Segment

A point C div...

Question

A point $C$ divides a line segment $A B$ in the ratio $5 : 6$ . The ratio of lengths $A B : B C$ is ______.

$5 : 11$

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$6 : 11$

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$11 : 6$

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$11 : 5$

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Solution

The correct option is C
$11 : 6$

Given $\frac{A C}{B C} = \frac{5}{6}$

$\frac{A B}{B C} = \frac{A C + B C}{B C} = \frac{A C}{B C} + 1 = \frac{5}{6} + 1 = \frac{11}{6}$

So, ratio is $11 : 6$ .

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Similar questions

A point $C$ divides a line segment $A B$ in the ratio $5 : 6$ . The ratio of lengths $A B : B C$ is ______.

What will the ratio $A B : A C$ be if $C$ divides the line segment $A B$ in the ratio $5 : 12$ ?

P

A B

5 : 6

A (0, 0)

B (11, 0)

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A B = 6 c m

A P : A B = 2 : 5

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