Maths-
General
Easy
Question
If
where
hen the equation f(x) = 0 has, in the interval (a, b)
- atleast one root
- atmost one root
- no root
- exactly one root
The correct answer is: atleast one root
Related Questions to study
physics-
The velocity-time graph of a particle moving along a straight line is shown in figure. The displacement of the body in 5s is

Displacement (in magnitude)
m=3m
The velocity-time graph of a particle moving along a straight line is shown in figure. The displacement of the body in 5s is

physics-General
Displacement (in magnitude)
m=3m
maths-
Let f x( ) and g x( ) are defined and differentiable for
and
then
Let f x( ) and g x( ) are defined and differentiable for
and
then
maths-General
maths-
In the given figure, if POQ is a diameter of the circle and PR = QR, then RPQ is

In the given figure, if POQ is a diameter of the circle and PR = QR, then RPQ is

maths-General
maths-
In the given figure, find the values of ‘x’ and ‘y’

In the given figure, find the values of ‘x’ and ‘y’

maths-General
maths-
PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If QPR= ° 35 , then the value of PSR is

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If QPR= ° 35 , then the value of PSR is

maths-General
maths-
Find the value of ‘x’ in the given figure

Find the value of ‘x’ in the given figure

maths-General
maths-
In the given figure, find PR

In the given figure, find PR

maths-General
maths-
In the given figure PA, PB, EC, FB, FD and ED are tangents to the circle. If PA=13cm,CE = 4.5cm and EF = 9cm then PF is

In the given figure PA, PB, EC, FB, FD and ED are tangents to the circle. If PA=13cm,CE = 4.5cm and EF = 9cm then PF is

maths-General
maths-
If TP and TQ are the two tangents to a circle with centre ‘O’ such that then
, is

If TP and TQ are the two tangents to a circle with centre ‘O’ such that then
, is

maths-General
physics-
Consider a rubber ball freely falling from a height
onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time will be
Collision is perfectly elastic then ball reaches to same height again and again with same velocity

Consider a rubber ball freely falling from a height
onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time will be
physics-General
Collision is perfectly elastic then ball reaches to same height again and again with same velocity

physics-
A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if the air resistance is not ignored
For upward motion
Effective acceleration
And for downward motion
Effective acceleration
But both are constants. So the slope of speed-time graph will be constant
Effective acceleration
And for downward motion
Effective acceleration
But both are constants. So the slope of speed-time graph will be constant
A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its flight if the air resistance is not ignored
physics-General
For upward motion
Effective acceleration
And for downward motion
Effective acceleration
But both are constants. So the slope of speed-time graph will be constant
Effective acceleration
And for downward motion
Effective acceleration
But both are constants. So the slope of speed-time graph will be constant
physics-
The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point

Slope is negative at the point
.
The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point

physics-General
Slope is negative at the point
.
physics-
Figure shows the graphical variation of displacement with time for the case of a particle moving along a straight line. The accelerations of the particle during the intervals
and
are respectively

The portion
of the graphs is convex upward. It represents negative acceleration. The portion
represents negative acceleration. The portion
represents that
is not changing with time. Clearly, it is a case of zero acceleration. The portion
of the graph is concave upward. It represents positive acceleration. The portion
is a straight line sloping upward to the right. It represents uniform velocity and hence acceleration is zero
Figure shows the graphical variation of displacement with time for the case of a particle moving along a straight line. The accelerations of the particle during the intervals
and
are respectively

physics-General
The portion
of the graphs is convex upward. It represents negative acceleration. The portion
represents negative acceleration. The portion
represents that
is not changing with time. Clearly, it is a case of zero acceleration. The portion
of the graph is concave upward. It represents positive acceleration. The portion
is a straight line sloping upward to the right. It represents uniform velocity and hence acceleration is zero
maths-
In the following circle, ‘O’ is the centre .If 

In the following circle, ‘O’ is the centre .If 

maths-General
maths-
The length of AC in the figure

The length of AC in the figure

maths-General