Question

If $\frac{a}{b}-\frac{c}{d}=0$ and bc=7, then determine the true statement among the following.

• A. a and b are directly proportional.
• B. a and c are inversely proportional.
• C. a and d are inversely proportional.
• D. b and c are directly proportional.
• E. c and d are inversely proportional.

Answer 1

The correct option is C a and d are inversely proportional.

Given, $\frac{a}{b}-\frac{c}{d}=0$

$\Rightarrow \frac{a}{b}=\frac{c}{d}$

$\Rightarrow ad=bc$

According to the question $bc=7$

$\therefore ad=7$

Then $a$ and $d$ are inversely proportional to eachother.