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

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Inverse Proportion

If x 1: y 1 a...

Question

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

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

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

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

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

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct options are
A $\frac{x_{2}}{x_{1}} = \frac{y_{1}}{y_{2}}$
C $x_{1} \times y_{1} = x_{2} \times y_{2}$
If two ratios are in inverse proportion, then the corresponding ratio of the individual parts will be equal. So, if $x_{1} : y_{1}$ and $x_{2} : y_{2}$ are in inverse proportion, then: $x_{1} \times y_{1} = x_{2} \times y_{2}$
$\Rightarrow \frac{x_{2}}{x_{1}} = \frac{y_{1}}{y_{2}}$
This can also be written as: $x_{1} \times y_{1} = x_{2} \times y_{2}$

Suggest Corrections

Similar questions

Q. If

x_{1} : y_{1}

and

x_{2} : y_{2}

are in direct proportion, then:

The vertices of a square ABCD are given as A (x $_{1}$ , y $_{1}$ ), B (x $_{2}$ , y $_{2}$ ), C (x $_{3}$ , y $_{3}$ ) and D (x $_{4}$ , y $_{4}$ ).
Which of the following will always hold true?

Q. The equation of the chord joining two points

(x_{1}, y_{1})

and

(x_{2}, y_{2})

on the rectangular hyperbola

x y = c^{2}

Q. The point

(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{1}, y_{2})

(x_{2}, y_{1})

are always

Q. The points

(X_{1}, Y_{1})

(X_{2}, Y_{2})

(X_{1}, Y_{2})

and

(X_{2}, Y_{1})

are always

Join BYJU'S Learning Program

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

The correct options are A x2x1=y1y2 C x1 × y1=x2 × y2If two ratios are in inverse proportion, then the corresponding ratio of the individual parts will be equal. So, if x1:y1 and x2:y2 are in inverse proportion, then: x1 × y1=x2 × y2 ⇒x2x1=y1y2 This can also be written as: x1 × y1=x2 × y2

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