If a- b- and c are in continued proportion- then a - c - b 2-A- FalseB- True

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Standard X

Mathematics

Proportion

If a, b, and ...

Question

If a, b, and c are in continued proportion, then $a \times c = b^{2}$ .

True

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False

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Solution

The correct option is A
True

Three numbers 'a', 'b' and 'c' are said to be continued proportion if a, b and c are in proportion. Thus, if a, b and c are in continued proportion, then a, b, b, c are in proportion i.e. a : b : : b : c.

So, $\frac{a}{b} = \frac{b}{c}$
Cross multiplying, we get
$a \times c = b^{2}$

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If a, b, and c are in continued proportion, then a×c=b2.

The correct option is A True Three numbers 'a', 'b' and 'c' are said to be continued proportion if a, b and c are in proportion. Thus, if a, b and c are in continued proportion, then a, b, b, c are in proportion i.e. a : b : : b : c. So, ab=bc Cross multiplying, we get a×c=b2

If a, b, and c are in continued proportion, then $a \times c = b^{2}$ .