MCQ
If point $C$ lies between two points $A$ and $B$ such that $AC = BC$, then:
- A$\text{AC}=\frac{1}{4}\text{AB}$
- ✓$\text{AC}=\frac{1}{2}\text{AB}$
- C$\text{AC}=\frac{3}{4}\text{AB}$
- D$\text{AC}=\frac{1}{3}\text{AB}$
✓
Answer
Correct option: B.
$\text{AC}=\frac{1}{2}\text{AB}$
Point $C$ is the mid point of $AB$. Hence, $AB = AC + BC$ or, $AB = AC + AC = 2AC$ (since, $AC = BC).$
Hence, $\text{AC}=\frac{1}{2}\text{AB}.$
Hence, $\text{AC}=\frac{1}{2}\text{AB}.$
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