MCQ
What is the distance between $(1, 3)$ and $(5, 6)?$
- A$3$ units.
- B$4$ units.
- ✓$5$ units.
- D$25$ units.
✓
Answer
Correct option: C.
$5$ units.
We know, distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is $\sqrt{(\text{x}_{1}-\text{x}_{2}) ^{2}+{(\text{y}_{1}-\text{y}_{2})} ^{2}}$
So, distance between $(1, 3)$ and $(5, 6)$ is
$\sqrt{{(1-5)}^{2}+(3-6)^{2}}$
$= \sqrt{{(4)}^{2}+(3)^{2}}$
$= 5\text{ units}.$
So, distance between $(1, 3)$ and $(5, 6)$ is
$\sqrt{{(1-5)}^{2}+(3-6)^{2}}$
$= \sqrt{{(4)}^{2}+(3)^{2}}$
$= 5\text{ units}.$
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