If 1 - x - y - 2 Which of the following statements is true -x-y - 2xy - 4xy - 2y-x - 2

The correct option is C xy = 2If two ratios are in proportion, they are equal ∴ 1/x = y/2 Multiplying both sides with 2 ⇒ nbsp; nbsp; 2/x = y/1 Multipl ...

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Standard VI

Mathematics

If 1 : x :: y...

Question

If 1 : x :: y : 2 Which of the following statements is true ?

\frac{x}{y} = 2

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\frac{y}{x} = 2

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x y = 2

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x y = 4

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Solution

The correct option is C $x y = 2$
If two ratios are in proportion, they are equal

$∴$ $\frac{1}{x} = \frac{y}{2}$

Multiplying both sides with 2

$\Rightarrow$ $\frac{2}{x} = \frac{y}{1}$

Multiplying both sides with x

$\Rightarrow$ $2 = x y$ $\Rightarrow$ $x y = 2$

Thus, (c) is the required answer

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Standard VI Mathematics

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If 1 : x :: y : 2 Which of the following statements is true ?

The correct option is C xy=2If two ratios are in proportion, they are equal ∴ 1x=y2 Multiplying both sides with 2 ⇒ 2x=y1 Multiplying both sides with x ⇒ 2=xy ⇒ xy=2 Thus, (c) is the required answer