Question

If $|r-6|=11$ and $|2q-12|=8$ then the maximum value of $\left|\frac{q}{r}\right|$ is-

• A. $2$
• B. $\frac{17}{10}$
• C. $\frac{1}{5}$
• D. $\frac{2}{5}$

Answer 1

Answer: (A)

$2$

$|r-6|=11$

$|2q-12|=8$

$|r-6|=11$

$r$ can have two values.

$i.e.r=-5,17$

$|2q-12|=8$

Also $q$ has two values.

i.e.$2q=20$ and $2q=4$

$q=10$, $q=2$.

For maximum values of $\left|\frac{q}{r}\right|$ we must have minimum $r$ and maximum $q$.

$|\frac{q}{r}|=|\frac{10}{-5}|$

$=2$