Maths-
General
Easy
Question
The period of the function
where [.] de-notes the greatest integer function, is
- 3
![2 pi](data:image/png;base64,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)
- 2
![pi](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAKCAYAAABv7tTEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHZJREFUeNpjYEAFWUD8DYj/48HlaHoYFgKxLBCvAeIAJHEQ34eBALgL1QwD94FYHJ8GFqgTkflfCNliCcT70fh7CWmKBOL5SPxwqF/xgmlAnIjEbwbiKcQEggESvxWIdwOxChBzYdMACuZzaGKmQPwJiBczUAIA0CEatBcOsq8AAABPdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDNDMDs8L21pPjwvbWF0aD4fatH3AAAAAElFTkSuQmCC)
Hint:
In this question we have to find the period of the given function. For this, we will simplify the given equation then we will find the period of each term separately. Then we know that all the terms are added in the function so the period of the whole function will be the LCM of all the periods.
The correct answer is: 2
Related Questions to study
Maths-
The period of the function
is
The period of the function
is
Maths-General
Maths-
In any
=
In any
=
Maths-General
Maths-
In
=
In
=
Maths-General
Maths-
In ![straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals](data:image/png;base64,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)
In ![straight triangle A B C comma sum a left parenthesis sin space B minus sin space C right parenthesis equals](data:image/png;base64,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)
Maths-General
Maths-
If the period of
is
then n=
If the period of
is
then n=
Maths-General
Maths-
Let
where
where [ ] is the integral part of x. If the period of f(x) is
, then ![a element of](data:image/png;base64,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)
Let
where
where [ ] is the integral part of x. If the period of f(x) is
, then ![a element of](data:image/png;base64,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)
Maths-General
physics-
Which of the following options is correct for the object having a straight line motion represented by the following graph
![](data:image/png;base64,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)
Which of the following options is correct for the object having a straight line motion represented by the following graph
![](data:image/png;base64,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)
physics-General
physics-
A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
![](data:image/png;base64,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)
A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
![](data:image/png;base64,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)
physics-General
physics-
A particle is moving with uniform acceleration along a straight line. The average velocity of the particle from
to
is
and that from
to
is
. If
, then the average velocity from
to
is
![](data:image/png;base64,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)
A particle is moving with uniform acceleration along a straight line. The average velocity of the particle from
to
is
and that from
to
is
. If
, then the average velocity from
to
is
![](data:image/png;base64,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)
physics-General
chemistry-
i)
ii)
iii)
iv)
Which of the statements are correct?
i)
ii)
iii)
iv)
Which of the statements are correct?
chemistry-General
physics-
A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time (
)
A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time (
)
physics-General
Maths-
The value of integer n for which the function
has
as its period is
The value of integer n for which the function
has
as its period is
Maths-General
Maths-
Maths-General
Maths-
Maths-General
physics-
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
physics-General