MCQ
The distance between the points $(a, b)$ and $(-a, b)$ is :
- A$\sqrt{2\text{a}\text{ units}}$
- B$2\sqrt{\text{a}^2+\text{b}^2}\text{ units}$
- ✓$2a$ units
- D$2b$ units
✓
Answer
Correct option: C.
$2a$ units
Let point $A$ be $(a,b)$ and point $B$ is $(-a-b)$
$\therefore$ distance between $A$ and $B=\sqrt{\text(a-a)^2+\text(b-b)^2}$
$=4\sqrt{4\text{a}^2+0}$
$=2a$ units
$\therefore$ distance between $A$ and $B=\sqrt{\text(a-a)^2+\text(b-b)^2}$
$=4\sqrt{4\text{a}^2+0}$
$=2a$ units
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