Maths-
General
Easy
Question
A) Area bounded by = 2 and coordinate axes
B) Area bounded by
and ![x to the power of 2 end exponent equals 4 y](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADcAAAATCAYAAAA05pVmAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAWNJREFUeNpjYCAd/IfiX0B8FIhVGIYhYALiLCA+xzCMwY/h6jF7ID44HD0mCc1zSnSwyweaz+kC1IB4C9SDtAY8QHyNXp4DeWgbEPPRKSBnAnEypZ4DGdCBRbwZKgcDII9p0Mlj1kC8F6kKQgdzgTgci3gBELeiC4KKdXEkfiIQT8FRzyFjQnUiPowLsAHxJSCWx+O5eCDuQhPjAuJbQCyMrtgDiPugbBekUBsIAEpFOWgBhQ68gHgVmlg9ENfiMnQ3tIi/gM33dAJ60JKYgYDnQO67gsQXBeK7QMyBy+ACaNNKjwqOJDdZnsTSrMOl9hsSuw/qfpwZeA1UUeQAJklSAuQwtK5VgsYaEzYDQZKboBkSVLecGcBkicvD2MBCIPYD4qVAHItNgSi0iBdGaxUsHgKeK4BWCZdwFbnrgFgai9xyaAk6mD0XAJXzG45tXJCnjg/XngkoO1kOR4/pQBvwWAEANe9fY3AUaNMAAAB+dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPj08L21vPjxtbj40PC9tbj48bWk+eTwvbWk+PC9tYXRoPhMAaUEAAAAASUVORK5CYII=)
C) Area bounded by
between x=0,x=1,x- axis
D) Area bounded by
and y=2x Arrange the above statements in the ascending order of areas.
- C, B, D, A
- D, C, A, B
- A, D, B, C
- B, A, C, D
The correct answer is: D, C, A, B
Related Questions to study
Physics-
Velocity-time
-
graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is
![](data:image/png;base64,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)
Velocity-time
-
graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is
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)
Physics-General
physics-
A particle moves along the sides
of a square of side
wuth a velocity of
. Its average velocity is
![](data:image/png;base64,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)
A particle moves along the sides
of a square of side
wuth a velocity of
. Its average velocity is
![](data:image/png;base64,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)
physics-General
physics-
The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in
are respectively
![](data:image/png;base64,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)
The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in
are respectively
![](data:image/png;base64,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)
physics-General
maths-
The area bounded by
, Y-axis and the line y=e is
The area bounded by
, Y-axis and the line y=e is
maths-General
maths-
If
then the general value of 'α ' is
If
then the general value of 'α ' is
maths-General
maths-
The parabolas
divide the square region bounded by the lines x=4, y=4 and the co-ordinate axes. If
are respectively the areas of these parts numbered from top to bottom then
is
The parabolas
divide the square region bounded by the lines x=4, y=4 and the co-ordinate axes. If
are respectively the areas of these parts numbered from top to bottom then
is
maths-General
physics-
The figure shows a double slit experiment P and Q are the slits. The path lengths PX and QX are
and
respectively, where n is a whole number and
is the wavelength. Taking the central fringe as zero, what is formed at X
![](data:image/png;base64,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)
The figure shows a double slit experiment P and Q are the slits. The path lengths PX and QX are
and
respectively, where n is a whole number and
is the wavelength. Taking the central fringe as zero, what is formed at X
![](data:image/png;base64,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)
physics-General
maths-
If
then
= ---
If
then
= ---
maths-General
physics-
A particle starts from rest. Its acceleration
time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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)
A particle starts from rest. Its acceleration
time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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)
physics-General
physics-
In figure, one car at rest and velocity of the light from head light is
, tehn velocity of light from head light for the moving car at velocity
, would be
In figure, one car at rest and velocity of the light from head light is
, tehn velocity of light from head light for the moving car at velocity
, would be
physics-General
maths-
If α and β are two different solutions lying between
and of the equation
then Tan α + Tan β is
If α and β are two different solutions lying between
and of the equation
then Tan α + Tan β is
maths-General
physics-
A particle of mass
is initially situated at the point
inside a hemispherical surface of radius
as shown in figure. A horizontal acceleration of magnitude
is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is
![](data:image/png;base64,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)
A particle of mass
is initially situated at the point
inside a hemispherical surface of radius
as shown in figure. A horizontal acceleration of magnitude
is suddenly produced on the particle in the horizontal direction. If gravitational acceleration is neglected, the time taken by particle to touch the sphere again is
![](data:image/png;base64,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)
physics-General
physics-
A cyclist starts from the centre
of a circular park of radius 1 km, reaches the edge
of the park, then cycles along the circumference and returns to the point
as shown in figure. If the round trip takes 10 min, the net displacement and average speed of the cyclist (in metre and kilometer per hour) are
![](data:image/png;base64,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)
A cyclist starts from the centre
of a circular park of radius 1 km, reaches the edge
of the park, then cycles along the circumference and returns to the point
as shown in figure. If the round trip takes 10 min, the net displacement and average speed of the cyclist (in metre and kilometer per hour) are
![](data:image/png;base64,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)
physics-General
physics-
A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by
and
respectively Then
![](data:image/png;base64,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)
A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by
and
respectively Then
![](data:image/png;base64,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)
physics-General
physics-
Assertion : Owls can move freely during night.
Reason : They have large number of rods on their retina.
Assertion : Owls can move freely during night.
Reason : They have large number of rods on their retina.
physics-General