Question

A bicycle is running straight towards north. What is the locus of the centre of the front wheel of the bicycle whose diameter is $d$?

• A. A line parallel to the path of the wheel of the bicycle at a height $d$ cm
• B. A line parallel to the path of the wheel of the bicycle at a height $\frac{d}{2}$ cm
• C. A circle of radius $\frac{d}{2}$ cm
• D. A circle of radius $d$ cm

Answer 1

The correct option is B A line parallel to the path of the wheel of the bicycle at a height $\frac{d}{2}$ cm

The height of the centre of wheel from path $=\frac{d}{2}$ cm.

Therefore, the locus of the centre of the front wheel of the bicycle is a line parallel to the path of the wheel of the bicycle at a height $\frac{d}{2}$ c.