CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
If two tangents inclined at an angle of 60° are drawn from an external point to a circle of radius 6 cm, then the length of each tangent is:
A. 3√3 cm
B. 6 cm
C. 12 cm
D. 6√3 cm
✅ Answer & Solution
✅ Correct Answer: D
The centre, external point and the angle bisector split the angle between tangents in half (30°). If L is tangent length: $$\tan 30° = \frac{r}{L} \Rightarrow L = \frac{r}{\tan30°} = \frac{6}{1/\sqrt3}=6\sqrt3\ cm$$
