Question

Let $a=p+2$ and $b=3-2p$. If $a$ and $b$ have same absolute value, then the value(s) of $p$ is/are

• A. $\frac{1}{3}$
• B. $\frac{1}{2}$
• C. $5$
• D. $6$

Answer 1

Answer: (A), (C)

$5$

Given condition
$|p+2|=|3-2p|\Rightarrow p+2=\pm (3-2p)$

Case 1 :
$p+2=3-2p$
$\Rightarrow p=\frac{1}{3}$

Case 2 :
$p+2=-(3-2p)$
​​​​​​​$\Rightarrow p=5$