Question

The number(s), at a distance of $3$ units from point $A$ on the number line is/are

• A. $4$
• B. $-4$
• C. $-2$
• D. $-3$

Answer 1

Answer: (A), (C)

$-2$

Let the required point be $x.$ Then
$|A-x|=3$
$\Rightarrow |1-x|=3(\because A=1)$
$\Rightarrow 1-x=\pm 3\Rightarrow -x=-1+3,-1-3\Rightarrow x=-2,4$