Maths-
General
Easy
Question
Let f : R →R and g : R →R be continuous functions, then the value of 
(f(x) + f(-x)) (g(x) – g(-x)) dx, is equal to
- – 1
- 0
- 1
- None of these
The correct answer is: 0
A function 
is odd if −f(−x)=f(x)⟺f(−x)=−f(x)
Related Questions to study
chemistry-
Ethyl alcohol is also known as:
Ethyl alcohol is also known as:
chemistry-General
physics-
A wire is bent in the form of a circular arc with a straight portion AB If the current in the wire is i, then the magnetic induction at O is
A wire is bent in the form of a circular arc with a straight portion AB If the current in the wire is i, then the magnetic induction at O is
physics-General
physics-
The magnetic induction at O due to a current in conductor shaped as shown in fig is
The magnetic induction at O due to a current in conductor shaped as shown in fig is
physics-General
physics-
The figure shows a unifrom conducting structure which carries current i with each small square has side a The structure is kept in a uniform magnetic field B Then the magnetic force on the structure will be
The figure shows a unifrom conducting structure which carries current i with each small square has side a The structure is kept in a uniform magnetic field B Then the magnetic force on the structure will be
physics-General
physics-
Two long parallel conductors carry currents 
both are directed into the plane of paper The magnitude of resultant magnetic field at point ‘P; is
Two long parallel conductors carry currents both are directed into the plane of paper The magnitude of resultant magnetic field at point ‘P; is
physics-General
chemistry-
What amount of bromine will be required to convert 2 g of phenol into 2, 4, 6-tribromo phenol?
What amount of bromine will be required to convert 2 g of phenol into 2, 4, 6-tribromo phenol?
chemistry-General
physics-
A wire bent in the form a right angled triangle PQR, carries a current 1 A It is placed in a region of a uniform magnetic field B= 0.2T If PR = 1m, the net force on the wire is
A wire bent in the form a right angled triangle PQR, carries a current 1 A It is placed in a region of a uniform magnetic field B= 0.2T If PR = 1m, the net force on the wire is
physics-General
physics-
A current i A = 2 be flowing in each part of a wire frame as shown in fig The frame is a combination of two equilateral triangles ACD and CDE of side 1m It is placed in uniform magnetic field B=4T acting perpendicular to the plane of frame The magnitude of magnetic force acting on the frame is
A current i A = 2 be flowing in each part of a wire frame as shown in fig The frame is a combination of two equilateral triangles ACD and CDE of side 1m It is placed in uniform magnetic field B=4T acting perpendicular to the plane of frame The magnitude of magnetic force acting on the frame is
physics-General
physics-
Wires 1 and 2 carrying currents i1 and i2 respectively are inclined at an angle q to each other What is the force on a small element dl of wire 2 at a distance of r from wire 1 (as shown in figure) due to the magnetic field of wire 1
Wires 1 and 2 carrying currents i1 and i2 respectively are inclined at an angle q to each other What is the force on a small element dl of wire 2 at a distance of r from wire 1 (as shown in figure) due to the magnetic field of wire 1
physics-General
physics-
PQ is a uniform rod of length l and mass m carrying current i and is suspended in uniform magnetic field of induction B ur acting inward as shown in figure The tension in each string is
PQ is a uniform rod of length l and mass m carrying current i and is suspended in uniform magnetic field of induction B ur acting inward as shown in figure The tension in each string is
physics-General
physics-
Two wires AO and OC carry currents i as shown in figure One end of both the wires extends to infinity 
, the magnitude of magnetic field at a point P on the bisector of the two wires at a distance r from O is
Two wires AO and OC carry currents i as shown in figure One end of both the wires extends to infinity , the magnitude of magnetic field at a point P on the bisector of the two wires at a distance r from O is
physics-General
Physics-
Two identical discs of same radius 
are rotating about their axes in opposite directions with the same constant angular speed 
. The discs are in the same horizontal plane. At time 
, the points 
and 
are facing each other as shown in figure. The relative speed between the two points and is 
as function of times best represented by
So,
At
So two half cycles will take place
Two identical discs of same radius are rotating about their axes in opposite directions with the same constant angular speed . The discs are in the same horizontal plane. At time , the points and are facing each other as shown in figure. The relative speed between the two points and is as function of times best represented by
Physics-General
So,
At
So two half cycles will take place
physics-
Consider the given velocity-time graph It represents the motion of
Consider the given velocity-time graph It represents the motion of
physics-General
chemistry-
2-methoxy butane is obtained by reacting diazomethane with
2-methoxy butane is obtained by reacting diazomethane with
chemistry-General
physics-
The figure shows a circular path of a moving particle. If the velocity of the particle at same instant is 
, through which quadrant is the particle moving when clockwise and anti-clockwise respectively
The figure shows a circular path of moving particle. At any instant velocity of particle.
(In coordinate from).
The coordinates of velocity show that particle is in 3rd quadrant at that instant. While moving clockwise particle will enter into 4th quadrant and these into 3rd and while moving anticlockwise particle will enter into 2nd quadrant and then into 3rd quadrant.
(In coordinate from).The coordinates of velocity show that particle is in 3rd quadrant at that instant. While moving clockwise particle will enter into 4th quadrant and these into 3rd and while moving anticlockwise particle will enter into 2nd quadrant and then into 3rd quadrant.
The figure shows a circular path of a moving particle. If the velocity of the particle at same instant is , through which quadrant is the particle moving when clockwise and anti-clockwise respectively
physics-General
The figure shows a circular path of moving particle. At any instant velocity of particle.
(In coordinate from).
The coordinates of velocity show that particle is in 3rd quadrant at that instant. While moving clockwise particle will enter into 4th quadrant and these into 3rd and while moving anticlockwise particle will enter into 2nd quadrant and then into 3rd quadrant.
(In coordinate from).The coordinates of velocity show that particle is in 3rd quadrant at that instant. While moving clockwise particle will enter into 4th quadrant and these into 3rd and while moving anticlockwise particle will enter into 2nd quadrant and then into 3rd quadrant.
