MCQ
The distance between the points $(0,5)$ and $(-5, 0)$ is :
- A$5$
- ✓$5\sqrt{2}$
- C$2\sqrt{5}$
- D$10$
✓
Answer
Correct option: B.
$5\sqrt{2}$
Distance between the points $\left(x_1, y_1\right)$ and $\left(x_2, y_2\right)$
$\text{d}=\sqrt{(\text{x}_2-\text{x}_1)^2+(\text{y}_2-\text{y}_1)^2}$
Here,$x_1=0, y_1=5$ and $x_2=-5, y_2=0$
Distance between the point $(0, 5)$ and $(-5, 0)$
$\text{d}=\sqrt{(-5-0)^2+(0-5)^2}$
$\text{d}=\sqrt{25+25}$
$\text{d}=\sqrt{50}$
$\text{d}=5\sqrt{2}$
$\text{d}=\sqrt{(\text{x}_2-\text{x}_1)^2+(\text{y}_2-\text{y}_1)^2}$
Here,$x_1=0, y_1=5$ and $x_2=-5, y_2=0$
Distance between the point $(0, 5)$ and $(-5, 0)$
$\text{d}=\sqrt{(-5-0)^2+(0-5)^2}$
$\text{d}=\sqrt{25+25}$
$\text{d}=\sqrt{50}$
$\text{d}=5\sqrt{2}$
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