Application of Derivatives

Section: Mathematics

Question : 6 of 32

Marks: +1, -0

Let f(x)=

sin‌π‌x

,x>0
Let x1<x2<x3<.......<xn<..... be all the points of local maximum of f and x1<y2<y3<.......<yn<..... be all the points of local minimum of f .
Then which of the following options is/are correct ?

[JEE Adv 2019 P2]

x1<y1
xn+1−xn>2
xn∈(2n,2n+‌‌
1
2
) for every n
|xn−yn|>1 for every n

Validate

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