Draw graph

For each natural number k, let Ck denote the circle with radius k cm, and centre at the origin. On the circle Ck, a particle moves k cm in counterclockwise direction. After completing its motion on Ck, the particle moves to Ck+1 in radial direction. The motion of the particle continues in this manner. The particle starts at (1,0). If the particle cuts the curve cos-1(cosx) for the first time on circle Cn then n= ?

11 Answers

1
JOHNCENA IS BACK ·

1

106
Asish Mahapatra ·

i too got n=1
but given n=4

1
JOHNCENA IS BACK ·

asish m weak in maths maybe i m wrong[2]

106
Asish Mahapatra ·

this is what i feel

11
Devil ·

Use the fact that 3< \pi < 4.

I did this long back in Goiit.

Let me search for the link.....

24
eureka123 ·

http://targetiit.com/iit-jee-forum/posts/simple-questions-4168.html

1
JOHNCENA IS BACK ·

yaar euree
asish is an intelligent guy......n u too[1]...he did not overlook the question i think u need to read it once more.it says curve is some trigo. func. not that x-axis one u gave link for[1]

106
Asish Mahapatra ·

If the particle cuts the curve cos-1(cosx) for the first time on circle Cn then n= ?

this is the question eure..

if it was crossing x-axis for first time.. (i have solved that)

24
eureka123 ·

[3][3]
my mistake...

66
kaymant ·

@Asish, your work is correct. The value of n has to be 1 (if the question is as what has been given).

106
Asish Mahapatra ·

thanks sir.

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