Maths-
General
Easy
Question
Let f: R → R be a function defined by f(x) = –
, then the graph of f(x) lies in the –
- I and II quadrants
- I and III quadrants
- II and III quadrants
- III and IV quadrants
The correct answer is: III and IV quadrants
Related Questions to study
physics-
Two identical balls
and
each of mass
are attached to two identical massless springs. The spring mass system is constrained to move inside a rigid smooth pipe bent in the form of circle as shown in the figure. The pipe is fixed in a horizontal plane. The centres of the balls can move in a circle of radius
Each spring has a natural length of
and force constant
Initially both the balls are displaced by an angle
radian with respect to the diameter
of the circle and released from rest. The frequency of oscillation of the ball
is

Two identical balls
and
each of mass
are attached to two identical massless springs. The spring mass system is constrained to move inside a rigid smooth pipe bent in the form of circle as shown in the figure. The pipe is fixed in a horizontal plane. The centres of the balls can move in a circle of radius
Each spring has a natural length of
and force constant
Initially both the balls are displaced by an angle
radian with respect to the diameter
of the circle and released from rest. The frequency of oscillation of the ball
is

physics-General
physics-
A ball of mass
is attached to the end of a string having length
The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is
The maximum possible value of angular velocity of ball (in radian/s) is

A ball of mass
is attached to the end of a string having length
The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is
The maximum possible value of angular velocity of ball (in radian/s) is

physics-General
physics-
Two blocks each of mass
placed on rough horizontal surface connected by massless string as shown in the figure and variable horizontal force
(which t is time) applied then the tension T in string versus time graph is

Two blocks each of mass
placed on rough horizontal surface connected by massless string as shown in the figure and variable horizontal force
(which t is time) applied then the tension T in string versus time graph is

physics-General
physics-
A point moves along the arc of a circle of radius R. Its speed varies as
where a is constant and s is the arc length travelled by the particle. The angle
between the vector of total acceleration and the vector of velocity is given by

A point moves along the arc of a circle of radius R. Its speed varies as
where a is constant and s is the arc length travelled by the particle. The angle
between the vector of total acceleration and the vector of velocity is given by

physics-General
physics-
Consider the situation shown in figure. The horizontal surface below the bigger block is smooth. The coefficient of friction between the blocks is
Find the minimum force F that can be applied in order to keep the smaller blocks at rest with respect to the bigger block.

Consider the situation shown in figure. The horizontal surface below the bigger block is smooth. The coefficient of friction between the blocks is
Find the minimum force F that can be applied in order to keep the smaller blocks at rest with respect to the bigger block.

physics-General
physics-
A block of mass m is placed on a wedge of mass 2m which rests on a rough horizontal surface. There is no friction between the block and the wedge. The minimum coefficient of friction between the wedge and the ground so that the wedge does not move is

A block of mass m is placed on a wedge of mass 2m which rests on a rough horizontal surface. There is no friction between the block and the wedge. The minimum coefficient of friction between the wedge and the ground so that the wedge does not move is

physics-General
physics-
Two masses A and B of 10 kg and 5 kg respectively are connected with a string passing over a frictionless pulley fixed at the corner of a table as shown in the diagram. The coefficient of A with the table is 0.20. The minimum mass of C that may be placed on A to prevent it form moving is equal to

Two masses A and B of 10 kg and 5 kg respectively are connected with a string passing over a frictionless pulley fixed at the corner of a table as shown in the diagram. The coefficient of A with the table is 0.20. The minimum mass of C that may be placed on A to prevent it form moving is equal to

physics-General
physics-
Two blocks A and B of masses 6 kg and 3 kg rest on a smooth horizontal surface as shown in figure. The coefficient of friction between A and B is 0.4. The maximum horizontal force, which is applied on block A to avoid relative between A and B, is 

Two blocks A and B of masses 6 kg and 3 kg rest on a smooth horizontal surface as shown in figure. The coefficient of friction between A and B is 0.4. The maximum horizontal force, which is applied on block A to avoid relative between A and B, is 

physics-General
physics-
Two blocks of masses
and
are placed in contact with each other on a horizontal platform. Coefficient of friction between the platform and the blocks are same. The platform moves with some acceleration. The force of interaction between the blocks is

Two blocks of masses
and
are placed in contact with each other on a horizontal platform. Coefficient of friction between the platform and the blocks are same. The platform moves with some acceleration. The force of interaction between the blocks is

physics-General
physics-
Two blocks A and B placed over an inclined plane of inclination
have masses m and M. The coefficients of friction between bodies and plane are respectively
and
Find the minimum value of
at which the blocks start moving if 

Two blocks A and B placed over an inclined plane of inclination
have masses m and M. The coefficients of friction between bodies and plane are respectively
and
Find the minimum value of
at which the blocks start moving if 

physics-General
physics-
The system is pushed by a force F as shown in figure. All surfaces are smooth except between B and C. Friction coefficient between B and C is
Minimum value of F to prevent block B from downward slipping is

The system is pushed by a force F as shown in figure. All surfaces are smooth except between B and C. Friction coefficient between B and C is
Minimum value of F to prevent block B from downward slipping is

physics-General
maths-
Assertion: Consider an ellipse having its focii at A(z1) and B(z2) in the argand place. If the eccentricity of the ellipse be 'e' and it is known that origin is an interior point of ellipse, then
.
Reason: If
is the point interior to curve 
Assertion: Consider an ellipse having its focii at A(z1) and B(z2) in the argand place. If the eccentricity of the ellipse be 'e' and it is known that origin is an interior point of ellipse, then
.
Reason: If
is the point interior to curve 
maths-General
physics-
Find the least horizontal force P to start motion of any part of the system of the three blocks resting upon one another as shown in figure. The weight of blocks are
and
Between A and B,
Between B and C,
between c and the ground 

Find the least horizontal force P to start motion of any part of the system of the three blocks resting upon one another as shown in figure. The weight of blocks are
and
Between A and B,
Between B and C,
between c and the ground 

physics-General
physics-
In the figure, the block A of mass m is placed on the block B of mass 2m. The coefficient of friction between A and B as well as that between the floor and B is
Both blocks are given the same initial velocity to the right. The acceleration of A with respect to B is

In the figure, the block A of mass m is placed on the block B of mass 2m. The coefficient of friction between A and B as well as that between the floor and B is
Both blocks are given the same initial velocity to the right. The acceleration of A with respect to B is

physics-General
physics-
A weightless inextensible rope rests on a stationary wedge forming an angle
with the horizontal. On end of the rope is fixed to the wall at the point A. When a small load is attached to the rope at the point B, the wedge starts moving to the right with constant acceleration 'a'. What is the acceleration of the load when its is still on the wedge?

A weightless inextensible rope rests on a stationary wedge forming an angle
with the horizontal. On end of the rope is fixed to the wall at the point A. When a small load is attached to the rope at the point B, the wedge starts moving to the right with constant acceleration 'a'. What is the acceleration of the load when its is still on the wedge?

physics-General