Maths-
General
Easy
Question
The number of integral values of k for which the equation 
has a solution is
- 4
- 8
- 10
- 12
The correct answer is: 8
Related Questions to study
maths-
Number of solutions of the equation 
in the interval 
is
Number of solutions of the equation in the interval is
maths-General
physics-
Yellow light is used in single slit diffraction experiment with slit width 0.6 mm. If yellow light is replaced by X-rays then the pattern will reveal
Diffraction is obtained when the slit width is of the order of wavelength of EM waves (or light). Here wavelength of X-rays (1-100 Å) is very-very lesser than slit width (0.6 mm). Therefore no diffraction pattern will be observed.
Yellow light is used in single slit diffraction experiment with slit width 0.6 mm. If yellow light is replaced by X-rays then the pattern will reveal
physics-General
Diffraction is obtained when the slit width is of the order of wavelength of EM waves (or light). Here wavelength of X-rays (1-100 Å) is very-very lesser than slit width (0.6 mm). Therefore no diffraction pattern will be observed.
maths-
In a right angled triangle, the hypotenuse is 
times the length of the perpendicular drawn from the opposite vertex to the hypotenuse. Then the other two angles are
In a right angled triangle, the hypotenuse is times the length of the perpendicular drawn from the opposite vertex to the hypotenuse. Then the other two angles are
maths-General
physics-
If the figure below represents a parabola, identify the physical quantities representing 
for constant acceleration
Since, body has uniform acceleration. So, velocity of particle is increasing with time. Hence, this is displacement-time graph with 
as time axis and 
as displacement axis.
as time axis and as displacement axis.If the figure below represents a parabola, identify the physical quantities representing for constant acceleration
physics-General
Since, body has uniform acceleration. So, velocity of particle is increasing with time. Hence, this is displacement-time graph with as time axis and as displacement axis.
as time axis and as displacement axis.physics-
The graph of displacement-time for a body travelling in a straight line is given. We can conclude that
At the point 
, the tangent to the curve is parallel to time axis. So, velocity at is zero. But acceleration is not zero. Note that the displacement corresponding to the point is not zero.
, the tangent to the curve is parallel to time axis. So, velocity at is zero. But acceleration is not zero. Note that the displacement corresponding to the point is not zero.The graph of displacement-time for a body travelling in a straight line is given. We can conclude that
physics-General
At the point , the tangent to the curve is parallel to time axis. So, velocity at is zero. But acceleration is not zero. Note that the displacement corresponding to the point is not zero.
, the tangent to the curve is parallel to time axis. So, velocity at is zero. But acceleration is not zero. Note that the displacement corresponding to the point is not zero.physics-
A particle moves along 
-axis as 
Which of the following is true
At
At
But acceleration,
A particle moves along -axis as Which of the following is true
physics-General
At
At
But acceleration,
physics-
Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is
From acceleration time graph, acceleration is constant for first part of motion so, for this part velocity of body increases uniformly with time and as 
then the velocity becomes constant. Then again increased because of acceleration
then the velocity becomes constant. Then again increased because of accelerationAcceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is
physics-General
From acceleration time graph, acceleration is constant for first part of motion so, for this part velocity of body increases uniformly with time and as then the velocity becomes constant. Then again increased because of acceleration
then the velocity becomes constant. Then again increased because of accelerationmaths-
The equation 
where χ is a variable with real roots, then the interval of p may be any one of the following
The equation where χ is a variable with real roots, then the interval of p may be any one of the following
maths-General
physics-
An engine is moving on a circular track with a constant speed. It is blowing a whistle of frequency 
The frequency received by an observer standing stationary at the centre of the track is
Since there is no relative motion between the source and listener, so apparent frequency equals original frequency
An engine is moving on a circular track with a constant speed. It is blowing a whistle of frequency The frequency received by an observer standing stationary at the centre of the track is
physics-General
Since there is no relative motion between the source and listener, so apparent frequency equals original frequency
physics-
In Young’s experiment, monochromatic light is used to illuminate the two slits A and B. Interference fringes are observed on a screen placed in front of the slits. Now if a thin glass plate is placed normally in the path of the beam coming from the slit
In the presence of thin glass plate, the fringe pattern shifts, but no change in fringe width.
In Young’s experiment, monochromatic light is used to illuminate the two slits A and B. Interference fringes are observed on a screen placed in front of the slits. Now if a thin glass plate is placed normally in the path of the beam coming from the slit
physics-General
In the presence of thin glass plate, the fringe pattern shifts, but no change in fringe width.
physics-
Figure shows the acceleration-time graphs of a particle. Which of the following represents the corresponding velocity-time graphs?
Since acceleration is constant, therefore there is uniform increase in velocity. So, the 
graph is a straight line slopping upward to the right. When acceleration becomes zero, velocity is constant. So graph is a straight line parallel to the time-axis.
graph is a straight line slopping upward to the right. When acceleration becomes zero, velocity is constant. So graph is a straight line parallel to the time-axis.Figure shows the acceleration-time graphs of a particle. Which of the following represents the corresponding velocity-time graphs?
physics-General
Since acceleration is constant, therefore there is uniform increase in velocity. So, the graph is a straight line slopping upward to the right. When acceleration becomes zero, velocity is constant. So graph is a straight line parallel to the time-axis.
graph is a straight line slopping upward to the right. When acceleration becomes zero, velocity is constant. So graph is a straight line parallel to the time-axis.maths-
If 
and 
, then the possible values of χ between 
and 
are
If and , then the possible values of χ between and are
maths-General
maths-
A) Area bounded by = 2 and coordinate axes
B) Area bounded by 
and 
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.
A) Area bounded by = 2 and coordinate axes
B) Area bounded by and
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.
maths-General
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
Between time interval 
to 
, there is non-zero acceleration and retardation. Hence distance travelled during this interval
Area between time interval to
to , there is non-zero acceleration and retardation. Hence distance travelled during this interval Area between time interval to 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
Physics-General
Between time interval to , there is non-zero acceleration and retardation. Hence distance travelled during this interval
Area between time interval to
to , there is non-zero acceleration and retardation. Hence distance travelled during this interval Area between time interval to physics-
A particle moves along the sides 
of a square of side 
wuth a velocity of 
. Its average velocity is
Average velocity =
A particle moves along the sides of a square of side wuth a velocity of . Its average velocity is
physics-General
Average velocity =
