Most Important Selected Qs for JEE AdvancedMathematicsComplex Number
A regular heptadecagon P₁ P₂ P₃ . . P₁₇ is inscribed in a unit circle. Find _ n=2 ¹⁷ P₁ P_n .
Correct answer
17
Step-by-step solution
aligned & = 2 n =n=17 & (P₁ P₂ ) (P₁ P₃ ) (P₁ P₁₇ ) & Using 2 2 2 2 2 . .2 16 2 & 2¹⁶ 2 2 2 16 2 =17 & 2^ n-1 2 2 2 (n-1) 2 =n aligned