If x 1- y 1 and x 2- y 2 are in direct proportion- then-A- x1-x2-y1-y2B- x 2- y 2- x 1- y 1C- x 2- y 1- x 1- y 2D- x2-y1-x1-y2

The correct options are A x_1/x_2 = y_1/y_2 C x_2 × y_1 = x_1 × y_2If two ratios are in direct proportion, then they will be equal. Therefore, nbsp;x_1 : y_1 ...

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Byju's Answer

Standard VII

Mathematics

Direct Proportion

If x 1: y 1 a...

Question

If $x_{1} : y_{1}$ and $x_{2} : y_{2}$ are in direct proportion, then:

\frac{x_{1}}{x_{2}} = \frac{y_{1}}{y_{2}}

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x_{2} \times y_{2} = x_{1} \times y_{1}

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x_{2} \times y_{1} = x_{1} \times y_{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{x_{2}}{y_{1}} = \frac{x_{1}}{y_{2}}

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Solution

The correct options are
A $\frac{x_{1}}{x_{2}} = \frac{y_{1}}{y_{2}}$
C $x_{2} \times y_{1} = x_{1} \times y_{2}$
If two ratios are in direct proportion, then they will be equal.
Therefore, $x_{1} : y_{1} = x_{2} : y_{2}$
$\frac{x_{1}}{y_{1}} = \frac{x_{2}}{y_{2}}$
$\Rightarrow \frac{x_{1}}{x_{2}} = \frac{y_{1}}{y_{2}}$
This can also be written as: $x_{2} \times y_{1} = x_{1} \times y_{2}$

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If x1:y1 and x2:y2 are in direct proportion, then:

The correct options are A x1x2=y1y2 C x2 × y1=x1 × y2If two ratios are in direct proportion, then they will be equal. Therefore, x1:y1 = x2:y2 x1y1=x2y2 ⇒x1x2=y1y2 This can also be written as: x2 × y1=x1 × y2

If $x_{1} : y_{1}$ and $x_{2} : y_{2}$ are in direct proportion, then: