Maths-
General
Easy
Question
Let
be a set containing 10 distinct elements, then the total number of distinct functions from
to
is-
Hint:
First, from the given that we have” A” be a set containing 10 distinct elements. Distinct elements mean all the elements in that function are different elements, which means no identical elements.
We also need to know about the concept of domain and co-domain as well, which is also known as the mapping in the range functions.
The correct answer is: 
Complete step-by-step solution:
Since from the given question, we have A be a set containing 10 distinct elements and the total number of distinct functions from A to A is the requirement.
Let us assume the set A with the elements like 
Then by using the function definition of the domain and co-domain we have a function from A to A which means itself :
where m and n are the ranges from 1,2, ...... 10
Therefore, the total number of distinct function for number 1 is 1,2, ...... 10( it can be represented in any ten numbers) and the number 2 is 1,2, ..... 10 and proceeding like this we also get the number 10 as 1,2, ..... 10
Thus, we get for all the ten numbers we have 1, 2, ..... 10
Hence we have in total

The domain is defined as the set which is to input in a function. We say that input values satisfy a function. The range is defined as the actual output supposed to be obtained by entering the domain of the function.
Co-domain is defined as the values that are present in the right set that is set Y, possible values expected to come out after entering domain values.
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Figure shows the
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graph. Where
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Range of function f(x) =
,
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]
(C)
(C)
Range of function f(x) =
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]
(C)
(C)
physics-
A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses
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A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses
and
. Taking
, find the work done (in joules) by the string on the block of mass
during the first second after the system is released from rest

physics-General
In the given condition tension in the string



And acceleration of each block

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Work done by the string 


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Here,
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A block of mass
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A block of mass
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fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as is returns to the original position respectively are

physics-General
When block strikes the spring, the kinetic energy of block converts into potential energy of spring ie,

Or

When block returns to the original position, again potential energy converts into kinetic energy of the blocks, so velocity of the block is same as before but its sign changes as it goes to mean position.

Or
When block returns to the original position, again potential energy converts into kinetic energy of the blocks, so velocity of the block is same as before but its sign changes as it goes to mean position.
physics-
The relationship between the force F and position
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=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=

=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=
The relationship between the force F and position
of a body is as shown in figure. The work done in displacing the body from
to
m will be

physics-General
Work done=area enclosed by
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=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=

=area of ABNM + area of CDEN - area of EFGH + area of HIJ

=
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Three objects
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By the law of conservation of momentum
Three objects
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By the law of conservation of momentum
physics-
The relation between the displacement
of an object produced by the application of the variable force
is represented by a graph shown in the figure. If the object undergoes a displacement from
to
the work done will be approximately equal to

Work done = Area under curve and displacement axis
= Area of trapezium


As the area actually is not trapezium so work done will be more than
approximately 
= Area of trapezium
As the area actually is not trapezium so work done will be more than