Question-23131

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 \dots

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}, \dots, {O P}_{5} .

Commented by math solver last updated on 26/Oct/17

thank you sir!