Question

If x and y are in inverse proportion then which of the following is correct :-●x minus y equal to constant ●X + Y equal to constant ● x y equals to constant ● x divided by y equals to constant

Answer 1

GIVEN :

x and y are in inverse proportion

TO FIND :

The correct option to the given statement.

SOLUTION :

Given that x and y are in inverse proportion

Since x is inversely proportional to y

It can be written as

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

It means that $x=\frac{k}{y}$ where k is a constant.

Also y is inversely proportional to x can be written as

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

It means that $y=\frac{k}{x}$ where k is a constant.

Then we can have that  $x=\frac{k}{y}$

xy=k

Option C) is correct

∴ xy equals to constant i.e, xy=k(constant).

Answer 2

GIVEN :

x and y are in inverse proportion

TO FIND :

The correct option to the given statement.

SOLUTION :

Given that x and y are in inverse proportion

Since x is inversely proportional to y

It can be written as

x\propto \frac{1}{y}x∝

y

1

It means that x=\frac{k}{y}x=

y

k

where k is a constant.

Also y is inversely proportional to x can be written as

y\propto \frac{1}{x}y∝

x

1

It means that y=\frac{k}{x}y=

x

k

where k is a constant.

Then we can have that x=\frac{k}{y}x=

y

k

xy=k

Option C) is correct

∴ xy equals to constant i.e, xy=k(constant).