Question
The distance between the points (a, b) and (-a, -b) is _________.
✓
Answer
The distance between the points (a, b) and (-a, -b) is $2\sqrt{\text{a}^2+\text{b}^2}.$
Solution:
Distance between two points $\left( x _1, y _1\right)$ and $\left( x _2, y _2\right)$ can be calculated using the formula
$\sqrt{(\text{x}_2-\text{x}_1)^2+(\text{y}_2-\text{y}_1)^2}$
Therefore, distance between the points (a, b) and (-a,-b) is
$\sqrt{(-\text{a}-\text{a})^2+(-\text{b}-\text{b})^2}$
$\sqrt{4\text{a}^2+4\text{b}^2}$
$2\sqrt{\text{a}^2+\text{b}^2}$
Solution:
Distance between two points $\left( x _1, y _1\right)$ and $\left( x _2, y _2\right)$ can be calculated using the formula
$\sqrt{(\text{x}_2-\text{x}_1)^2+(\text{y}_2-\text{y}_1)^2}$
Therefore, distance between the points (a, b) and (-a,-b) is
$\sqrt{(-\text{a}-\text{a})^2+(-\text{b}-\text{b})^2}$
$\sqrt{4\text{a}^2+4\text{b}^2}$
$2\sqrt{\text{a}^2+\text{b}^2}$
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