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