MCQ
Find the distance between the points $A(2 a, 6 a)$ and $B(2 a+\sqrt{3} a, 5 a)$.
- A$a$
- ✓$2 a$
- C$3 a$
- D$-a$
✓
Answer
Correct option: B.
$2 a$
Required distance $=A B$
$=\sqrt{(2 a+\sqrt{3} a-2 a)^2+(5 a-6 a)^2}$
$=\sqrt{3 a^2+a^2}$
$=\sqrt{4 a^2}$
$=2 a$
$=\sqrt{(2 a+\sqrt{3} a-2 a)^2+(5 a-6 a)^2}$
$=\sqrt{3 a^2+a^2}$
$=\sqrt{4 a^2}$
$=2 a$
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