Given that x and y are in inverse proportion, and $y_{1}$ $y_{2}$ are values of $y$ corresponding to the values $x_{1}$ $x_{2}$ of $x$ respectively. Which of the following is correct?

x₁y₂=x₂y₁

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

x₁y₁=x₂y₂

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

x₁x₂=y₁y₂

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

Open in App

Solution

The correct option is B
x₁y₁=x₂y₂

Given $x \propto \frac{1}{y}$

Hence we have $x y = k w h e r e k i s c o n s t a n t$

$∴ i f x = x_{1} a n d y = y_{1}, t h e n x_{1} y_{1} = k$ -----------------(1)

Again $i f x = x_{2} a n d y = y_{2}, t h e n x_{2} y_{2} = k$ ------------------------(2)

Equating (1) and (2) , we have
$x_{1} y_{1} = x_{2} y_{2}$

Suggest Corrections

Similar questions

Q. Given that x and y are in inverse proportion, and

y_{1}, y_{2}

are values of y corresponding to the values

x_{1}, x_{2}

of x, respectively. Which of the following is correct?

Given that x and y are in direct proportion, and $y_{1}, y_{2}$ are values of $y$ corresponding to the values $x_{1}, x_{2}$ of $x$ respectively. Which of the following is correct?

Given that x and y are in inverse proportion, and $y_{1}$ , $y_{2}$ are values of y corresponding to the values $x_{1}, x_{2}$ of x respectively. Which of the following is correct?

Given that x and y are in direct proportion, and $y_{1}, y_{2}$ are values of $y$ corresponding to the values $x_{1}, x_{2}$ of $x$ respectively. Which of the following is correct?

If $θ$ is the angle which the straight line joining the points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ subtends at the origin, prove that $t a n θ = \frac{x_{2} y_{1} - x_{1} y_{2}}{x_{1} x_{2} + y_{1} y_{2}}$ and $c o s θ = \frac{x_{1} x_{2} + y_{1} y_{2}}{\sqrt{x_{1}^{2} + x_{1}^{2} \sqrt{x_{2}^{2} + y_{2}^{2}}}}$

Join BYJU'S Learning Program

Given that x and y are in inverse proportion, and y1 y2 are values of y corresponding to the values x1x2 of x respectively. Which of the following is correct?

The correct option is B x1y1=x2y2 Given x∝1y Hence we have xy=k where k is constant ∴ if x=x1 and y=y1, then x1y1= k-----------------(1) Again if x=x2 and y=y2, then x2y2= k------------------------(2) Equating (1) and (2) , we have x1y1=x2y2

Given that x and y are in inverse proportion, and $y_{1}$ $y_{2}$ are values of $y$ corresponding to the values $x_{1}$ $x_{2}$ of $x$ respectively. Which of the following is correct?