If C is a point on the line segment AB of length 12 cm- such that AC -2-3 of AB- then the value of CB - AB isA-B- 4-2C-D- 3

The correct option is A 1/3Here, Length of AB = 12 cm Length of AC = 2/3×12 =8 cm Length of CB = (12 8) cm = 4 cm Then, CB/AB = nbsp;4/12 = nbsp;1/3 ...

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Standard VI

Mathematics

Fractions

If C is a poi...

Question

If C is a point on the line segment AB of length 12 cm, such that AC = $\frac{2}{3}$ of AB, then the value of $\frac{C B}{A B}$ is _________.

\frac{1}{3}

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\frac{3}{4}

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\frac{2}{5}

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\frac{2}{3}

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Solution

The correct option is A $\frac{1}{3}$
Here,
Length of AB = 12 cm
Length of AC = $\frac{2}{3} \times 12 = 8 cm$
Length of CB $= (12 - 8) cm = 4 cm$
Then, $\frac{C B}{A B}$ = $\frac{4}{12}$ = $\frac{1}{3}$

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If C is a point on the line segment AB of length 12 cm, such that AC = 23of AB, then the value of CBAB is _________.

The correct option is A 13Here, Length of AB = 12 cm Length of AC = 23×12=8 cm Length of CB =(12−8) cm=4 cm Then, CBAB = 412 = 13

If C is a point on the line segment AB of length 12 cm, such that AC = $\frac{2}{3}$ of AB, then the value of $\frac{C B}{A B}$ is _________.

The correct option is A $\frac{1}{3}$
Here,
Length of AB = 12 cm
Length of AC = $\frac{2}{3} \times 12 = 8 cm$
Length of CB $= (12 - 8) cm = 4 cm$
Then, $\frac{C B}{A B}$ = $\frac{4}{12}$ = $\frac{1}{3}$