You visited us 4 times! Enjoying our articles? Unlock Full Access!

Inverse Variation

X varies inve...

Question

X varies inversely as Y. If X = 2 when Y = 0.5, then find the constant of variation.

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

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

0.5

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

Open in App

Solution

The correct option is A 1
Given, X varies inversely as Y.
$\Rightarrow X \propto \frac{1}{Y}$
Let the constant of variation be k.
$\Rightarrow X = \frac{k}{Y}$
$\Rightarrow X Y = k$
Given, at X = 2, Y = 0.5.
So, k = XY = (2)(0.5) = 1.

Suggest Corrections

Similar questions

Q. If

Y

varies inversely as

x

and if

y = 4

when

x = 72

. Find the constant of variation.

If x and y vary inversely as each other and
(i) x=3 when y = 8, find y when x=4
(ii) x=5 when y = 15, find x when y = 12
(iii) x=30, find y when constant of variation = 900
(iv) y = 35, find x when constant of variation = 7.

Q. If

x

varies inversely as

y

and

x = 7

when

y = 9

.
(a) Find constant of variation

k

.
(b) Write equation of variation.
(c) Find

y

when

x = 9

Q. If '

x

' varies inversely as '

y

' and

x = 7

when

y = 9

:
(a) Find constant of variation

(k)

.
(b) Write equation of variation.
(c) Find '

y

' when

x = 9

Q. X varies directly as the square of Y. If X = 1 when Y = 2, then find the constant of variation.

Join BYJU'S Learning Program

X varies inversely as Y. If X = 2 when Y = 0.5, then find the constant of variation.

The correct option is A 1Given, X varies inversely as Y. ⇒X∝1Y Let the constant of variation be k. ⇒X=kY ⇒XY=k Given, at X = 2, Y = 0.5. So, k = XY = (2)(0.5) = 1.

The correct option is A 1
Given, X varies inversely as Y.
$\Rightarrow X \propto \frac{1}{Y}$
Let the constant of variation be k.
$\Rightarrow X = \frac{k}{Y}$
$\Rightarrow X Y = k$
Given, at X = 2, Y = 0.5.
So, k = XY = (2)(0.5) = 1.