Maths-
General
Easy
Question
If
defined by ![f left parenthesis x right parenthesis equals x squared plus x plus 1 text , then end text f text is end text](data:image/png;base64,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)
- a function
- one one
- onto
- one one onto
Hint:
In this question, we have to find the type of function if
A function
is said to be one-one if different elements of A have different images in B, a function
is said to be onto if for all
, there exists
such that f (x) = y.
The correct answer is: one one
Related Questions to study
Maths-
If ![f left parenthesis x right parenthesis equals vertical line x minus 1 vertical line plus vertical line x minus 2 vertical line plus vertical line x minus 3 vertical line comma f colon left square bracket 2 comma 3 right square bracket not stretchy rightwards arrow R text is end text](data:image/png;base64,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)
If ![f left parenthesis x right parenthesis equals vertical line x minus 1 vertical line plus vertical line x minus 2 vertical line plus vertical line x minus 3 vertical line comma f colon left square bracket 2 comma 3 right square bracket not stretchy rightwards arrow R text is end text](data:image/png;base64,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)
Maths-General
physics-
Two thin metallic strips, carrying current in the direction shown, cross each other perpendicularly without touching but being close to each other, as shown in the figure. The regions which contain some points of zero magnetic induction are
![](data:image/png;base64,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)
Two thin metallic strips, carrying current in the direction shown, cross each other perpendicularly without touching but being close to each other, as shown in the figure. The regions which contain some points of zero magnetic induction are
![](data:image/png;base64,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)
physics-General
maths-
defined by
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defined by
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maths-General
physics
What does the speedometer measure kept in motorbike ?
What does the speedometer measure kept in motorbike ?
physicsGeneral
physics-
A cell is connected between the points A and C of a circular conductor ABCD with O as centre and angle
If
and
are the magnitudes of the magnetic fields at O due to the currents in ABC and ADC respectively, then ratio
is
![](data:image/png;base64,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)
A cell is connected between the points A and C of a circular conductor ABCD with O as centre and angle
If
and
are the magnitudes of the magnetic fields at O due to the currents in ABC and ADC respectively, then ratio
is
![](data:image/png;base64,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)
physics-General
physics-
Current
is flowing in conductor shaped as shown in the figure. The radius of the curved part is
and the length of straight portion is very large. The value of the magnetic field at the centre
will be
![](data:image/png;base64,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)
Current
is flowing in conductor shaped as shown in the figure. The radius of the curved part is
and the length of straight portion is very large. The value of the magnetic field at the centre
will be
![](data:image/png;base64,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)
physics-General
physics
A body is moving in x direction with constant acceleration a Find the difference of the displacement covered by it in nth second and (n-1) th second.
A body is moving in x direction with constant acceleration a Find the difference of the displacement covered by it in nth second and (n-1) th second.
physicsGeneral
physics
A body starts its motion with zero velocity and its acceleration is 3m/s2. Find the distance travelled by it in fifth second.
A body starts its motion with zero velocity and its acceleration is 3m/s2. Find the distance travelled by it in fifth second.
physicsGeneral
physics-
Two thick wires and two thin wires, all of same material and same length, form a square in three different ways P,Q and R as shown in the figure. With correct connections shown, the magnetic field due to the current flow, at the centre of the loop will be zero in case of
![](data:image/png;base64,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)
Two thick wires and two thin wires, all of same material and same length, form a square in three different ways P,Q and R as shown in the figure. With correct connections shown, the magnetic field due to the current flow, at the centre of the loop will be zero in case of
![](data:image/png;base64,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)
physics-General
physics
Given figure shows a graph at acceleration
time for a rectilinear motion. Find average acceleration in first 10 seconds
![](data:image/png;base64,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)
Given figure shows a graph at acceleration
time for a rectilinear motion. Find average acceleration in first 10 seconds
![](data:image/png;base64,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)
physicsGeneral
physics
The motion of a particle along a straight line is described by the function .X=(3T-2)2 Calculate the acceleration after 10 s.
The motion of a particle along a straight line is described by the function .X=(3T-2)2 Calculate the acceleration after 10 s.
physicsGeneral
physics-
A long insulated copper wire is closely wound as a spiral of N turns. The spiral has inner radius a and outer radius b. The spiral lies in the
plane and a steady current
flows through the wire. The Z-component of the magnetic field at the centre of the spiral is
![](data:image/png;base64,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)
900553 |
A long insulated copper wire is closely wound as a spiral of N turns. The spiral has inner radius a and outer radius b. The spiral lies in the
plane and a steady current
flows through the wire. The Z-component of the magnetic field at the centre of the spiral is
![](data:image/png;base64,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)
900553 |
physics-General
biology
In angiosperms, female gametophyte is represented by
In angiosperms, female gametophyte is represented by
biologyGeneral
physics
A particle is projected vertically upwards with velocity .30 ms-1 Find the ratio of average speed and instantaneous velocity after 6s.[g=10 ms-1 ]
A particle is projected vertically upwards with velocity .30 ms-1 Find the ratio of average speed and instantaneous velocity after 6s.[g=10 ms-1 ]
physicsGeneral
Maths-
Maths-General