The Line segment AB has 2 points P and Q lying on it as shown in the figure-A PQ BThe Ratio between BQ - QP and AP is 5- 2- 3- If the length of AP is 6 cm- what is the length of AB -A- 24 cmB- 12 cmC- 15 cmD- 20 cm

The correct option is D 20 cm Let BQ , QP and AP be 5x , 2x and 3x respectively. AP = 3x = 6 cm ⇒ x = 2 Length of Full line segment AB = AP + PQ + QB = 5x + 2x ...

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Standard VIII

Mathematics

Concept of Ratio between 3 Quantities Using Line Segments

The Line segm...

Question

The Line segment AB has 2 points P and Q lying on it as shown in the figure.

The Ratio between BQ , QP and AP is 5 : 2 : 3. If the length of AP is 6 cm, what is the length of AB?

15 cm

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12 cm

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20 cm

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24 cm

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Solution

The correct option is C
20 cm

Let BQ , QP and AP be 5x , 2x and 3x respectively.

AP = 3x = 6 cm

$\Rightarrow$ x = 2

Length of Full line segment AB = AP + PQ + QB = 5x + 2x + 3x = 10x = 10 $\times$ 2 = 20 cm

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The Line segment AB has 2 points P and Q lying on it as shown in the figure. The Ratio between BQ , QP and AP is 5 : 2 : 3. If the length of AP is 6 cm, what is the length of AB?

The correct option is C 20 cm Let BQ , QP and AP be 5x , 2x and 3x respectively. AP = 3x = 6 cm ⇒ x = 2 Length of Full line segment AB = AP + PQ + QB = 5x + 2x + 3x = 10x = 10 × 2 = 20 cm

The Line segment AB has 2 points P and Q lying on it as shown in the figure.

The Ratio between BQ , QP and AP is 5 : 2 : 3. If the length of AP is 6 cm, what is the length of AB?

The correct option is C
20 cm

Let BQ , QP and AP be 5x , 2x and 3x respectively.

AP = 3x = 6 cm

$\Rightarrow$ x = 2

Length of Full line segment AB = AP + PQ + QB = 5x + 2x + 3x = 10x = 10 $\times$ 2 = 20 cm