Match the following with their properties-If a - b - c - dA- InvertendoB- AlternendoC- ComponendoD- Dividendo

The correct option is If a/b = c/d then, ⇒b/a = d/c→Invertendo ⇒a/c = b/d→Alternendo ⇒a+b/b = c+d/d→Componendo ⇒a b/b = c d/d→Dividendo ...

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Byju's Answer

Standard IX

Mathematics

Componendo and Dividendo Property

Match the fol...

Question

Match the following with their properties.
$If \frac{a}{b} = \frac{c}{d}$

Invertendo

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Alternendo

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Componendo

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Dividendo

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Solution

$If \frac{a}{b} = \frac{c}{d} then,$
$\Rightarrow \frac{b}{a} = \frac{d}{c} \to Invertendo$
$\Rightarrow \frac{a}{c} = \frac{b}{d} \to Alternendo$
$\Rightarrow \frac{a + b}{b} = \frac{c + d}{d} \to Componendo$
$\Rightarrow \frac{a - b}{b} = \frac{c - d}{d} \to Dividendo$

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Match the following with their properties. If ab=cd

If ab=cd then, ⇒ba=dc→Invertendo ⇒ac=bd→Alternendo ⇒a+bb=c+dd→Componendo ⇒a−bb=c−dd→Dividendo

Match the following with their properties.
$If \frac{a}{b} = \frac{c}{d}$

$If \frac{a}{b} = \frac{c}{d} then,$
$\Rightarrow \frac{b}{a} = \frac{d}{c} \to Invertendo$
$\Rightarrow \frac{a}{c} = \frac{b}{d} \to Alternendo$
$\Rightarrow \frac{a + b}{b} = \frac{c + d}{d} \to Componendo$
$\Rightarrow \frac{a - b}{b} = \frac{c - d}{d} \to Dividendo$