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 $( x _1, y _1)$ and $( x _2, y _2)$
$\text{d}=\sqrt{(\text{x}_2-\text{x}_1)^2+(\text{y}_2-\text{y}_1)^2}$
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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