Sign in
Please select an account to continue using cracku.in
↓ →
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
The number of equiangular octagons fixing 6 consecutive sides is
Every angle of an equiangular octagon is $$135^\circ$$, so the direction of each side is fixed, turning by $$45^\circ$$ each time. Once six consecutive sides are fixed, the octagon must close, which gives two linear equations for the two remaining side lengths along two non-parallel directions. These have exactly one solution, so the octagon is uniquely determined (when both lengths come out positive). The number is therefore at most one, which matches none of a, b or d, so the answer is "None of these".
Was this solution helpful?
Predict your JEE Main percentile, rank & performance in seconds
Educational materials for JEE preparation