Which of the following option is correct according to theorem of equal ratios?

\frac{a}{b} = \frac{c}{d}

, then

\frac{a}{c} = \frac{b}{d}

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\frac{a}{b} = \frac{c}{d}

, then

\frac{a}{d} = \frac{c}{b}

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\frac{a}{b} = \frac{c}{d}

, then

\frac{a}{b} = \frac{a + c}{b + d} = \frac{c}{d}

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\frac{a}{b} = \frac{c}{d}

, then

\frac{a}{b} = \frac{a + b}{c + d} = \frac{c}{d}

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Solution

The correct option is C If $\frac{a}{b} = \frac{c}{d}$ , then $\frac{a}{b} = \frac{a + c}{b + d} = \frac{c}{d}$
According to theorem of equal ratios

If $\frac{a}{b} = \frac{c}{d}$ , then

$\frac{a}{b} = \frac{a + c}{b + d} = \frac{c}{d}$

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Similar questions

x = \frac{a - b}{a + b + c + d} = \frac{b - c}{a + b + c + d} = \frac{c - d}{a + b + c + d} = \frac{d - a}{a + b + c + d}

x^{3}

a, b, c, d A, B, C, D ϵ R^{*}

\frac{A}{a} = \frac{B}{b} = \frac{C}{c} = \frac{D}{d}

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(A - B) \times (B \cap C)

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