Question

If ${}^{\prime }{n}^{\prime }$ is the number of repeating features, ${}^{\prime }{a}^{\prime }$ is the number of lines of symmetry and ${}^{\prime }{b}^{\prime }$ is the order of rotational symmetry for the below shown figure, then choose the correct statement(s).

• A. The relation $a=b=n$ does not hold good for this figure.
• B. $a=b=n$, this relation holds good for this figure. As this is a regular polygon.
• C. $a\ne b=n=6$
• D. $a\ne b,\text{but}b=n$

Answer 1

Answer: (A), (C), (D)

The correct options are
A The relation $a=b=n$ does not hold good for this figure.
C $a\ne b=n=6$
D $a\ne b,\text{but}b=n$

This figure has 6 repeating features about its circumference $(n=6)$. It does not have any line of symmetry $(a=0)$. The figure looks same 6 times while rotating about its centre around ${360}^{\circ }$, so the order of rotation is 6 $(b=6)$. Hence, $a\ne b,\text{but}b=n$.