Question

Q.38 If x and y are inversely proportional, then:
(a) x + y = constant
(b) x - y = constant
(C) xy = constant
(d) x/y = constant
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Answer 1

Answer:

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∝y1

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

Also y is inversely proportional to x can be written as

y\propto \frac{1}{x}y∝x1

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

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

xy=k

Option C) is correct

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