Distance between the points (12, 4, 7) and (10, 5, 3) is: - Vidyadip

MCQ

Distance between the points $(12, 4, 7)$ and $(10, 5, 3)$ is:

A
$\sqrt{27}$
B
$\sqrt{5}$
C
$\sqrt{17}$
✓
None of these

✓

Answer

Correct option: D.

None of these

Consider the problem,
Let the given points
$A(12, 4, 7)$ and $B(10, 5, 3)$
So, distance between A and B by distance formula.
$\text{AB}=\sqrt{(10-12)^2+(5-4)^2+(3-7)^2}$
$=\sqrt{(-2)^2+1^2+(-4)^2}$
$=\sqrt{4+1+6}$
$=\sqrt{21}$
So, distance between the points $(12, 4, 7)$ and $(10, 5, 3)$ is $\sqrt{21}\text{ Sq. units}$

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