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Question Number 23131 by ajfour last updated on 26/Oct/17

Commented by ajfour last updated on 26/Oct/17

$Q . 23122 (B) p e n t a g o n a l$
Commented by math solver last updated on 26/Oct/17

$i think answer can also be circular$ $region . . .$ $in q . it is said points P_{i} are on$ $circumference of circle of R = 1 .$ $so {let}^{'} s make a circle of radius$ $say r = 0.25 so all the points in$ $circular region will definitely be$ $closer to O than P_{i} .$
Commented by math solver last updated on 26/Oct/17

$sir plz do tell where i m wrong$
Commented by ajfour last updated on 26/Oct/17

$t h e b o u n d a r y o f t h e a r e a w i l l b e$ $t h e p o i n t s t h a t a r e e q u i d i s t a n t$ $f r o m t h e c e n t r e O a n d t h e$ $n e a r e s t p o i n t a m o n g P_{1}, P_{2}, P_{3}, P_{4},$ $a n d P_{5} .$
Commented by math solver last updated on 26/Oct/17

$? what you mean ?$ ${can}^{'} t be answer circular region$
Commented by ajfour last updated on 26/Oct/17

$c o n s i d e r p e n t a g o n d i v i d e d i n t o$ $5 t r i a n g l e s w i t h c o m m o n v e r t e x$ $O . I n a n y o n e t r i a n g l e t h e$ $b o u n d a r y o f t h e r e q u i r e d r e g i o n$ $i s t h e s e t o f p o i n t s e q u i d i s t a n t$ $f r o m O a n d a s w e l l a s o n e o f$ $t h e o t h e r t w o v e r t i c e s t h a t i s$ $n e a r e r t o t b e b o u n d a r y l o c u s p o i n t .$ $N o t c i r c u l a r . I t i s t h e r e g i o n$ $w i t b i n t h e p e n t a g o n f o r m e d b y$ $t h e p e r p e n d i c u l a r b i s e c t o r s o f$ ${O P}_{1}, {O P}_{2}, . . ., {O P}_{5} .$
Commented by math solver last updated on 26/Oct/17

$thank you sir!$
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