Maths-

General

Easy

### Question

#### If f(x) is an even function and Exist for all 'X' then f'(1)+f'(-1) is-

- negative
- positive
- some times positive and some times negative
- zero

#### The correct answer is: zero

#### that the range of x – [x] is [0 , 1) then of [x] – x is (–1 , 0]

## Book A Free Demo

+91

Grade*

Select Grade

### Related Questions to study

physics-

#### In two separate collisions, the coefficient of restitutions and are in the ratio 3:1.In the first collision the relative velocity of approach is twice the relative velocity of separation ,then the ratio between relative velocity of approach and the relative velocity of separation in the second collision is

#### In two separate collisions, the coefficient of restitutions and are in the ratio 3:1.In the first collision the relative velocity of approach is twice the relative velocity of separation ,then the ratio between relative velocity of approach and the relative velocity of separation in the second collision is

physics-General

Maths-

#### Suppose for. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to the line y = x, then g(x) equals–

#### Suppose for. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to the line y = x, then g(x) equals–

Maths-General

maths-

#### A spotlight installed in the ground shines on a wall. A woman stands between the light and the wall casting a shadow on the wall. How are the rate at which she walks away from the light and rate at which her shadow grows related ?

#### A spotlight installed in the ground shines on a wall. A woman stands between the light and the wall casting a shadow on the wall. How are the rate at which she walks away from the light and rate at which her shadow grows related ?

maths-General

physics-

#### If reaction is R and coefficient of friction is, what is work done against friction in moving a body by distance d?

As shown a block of mass is lying over rough horizontal surface. Let be the coeeficient of kinetic friction between the two surfaces in contact. The force Of friction between the block and horizontal surface is given by

(

To move the block without acceleration, the force (P)required will be just equal to the force of friction , ie ,

If d is the distance moved , then work done is given by

#### If reaction is R and coefficient of friction is, what is work done against friction in moving a body by distance d?

physics-General

As shown a block of mass is lying over rough horizontal surface. Let be the coeeficient of kinetic friction between the two surfaces in contact. The force Of friction between the block and horizontal surface is given by

(

To move the block without acceleration, the force (P)required will be just equal to the force of friction , ie ,

If d is the distance moved , then work done is given by

physics-

#### The force acting on a particle moving in a straight line is shown in figure. What is the work done by the force on the particle in the 1^{st} meter of the trajectory

Work done Area under curve of - graph

= Area of triangle

= Area of triangle

#### The force acting on a particle moving in a straight line is shown in figure. What is the work done by the force on the particle in the 1^{st} meter of the trajectory

physics-General

Work done Area under curve of - graph

= Area of triangle

= Area of triangle

physics-

#### The pointer reading load graph for a spring balance is as given in the figure. The spring constant is

Spring constant Slope of curve

#### The pointer reading load graph for a spring balance is as given in the figure. The spring constant is

physics-General

Spring constant Slope of curve

physics-

#### The force acting on a body moving along -axis varies with the position of the particle as shown in the fig

The body is in stable equilibrium at

When particle moves away from the origin then at position force is zero and at , force is positive (repulsive in nature) so particle moves further and does not return back to original position the equilibrium is not stable Similarly at position force is zero and at , force is negative (attractive in nature) So particle return back to original position the equilibrium is stable

#### The force acting on a body moving along -axis varies with the position of the particle as shown in the fig

The body is in stable equilibrium at

physics-General

When particle moves away from the origin then at position force is zero and at , force is positive (repulsive in nature) so particle moves further and does not return back to original position the equilibrium is not stable Similarly at position force is zero and at , force is negative (attractive in nature) So particle return back to original position the equilibrium is stable

physics-

#### A frictionless track ends in a circular loop of radius . A body slides down the track from point which is it height . Maximum value of for the body to successfully complete the loop is

Condition for vertical looping

#### A frictionless track ends in a circular loop of radius . A body slides down the track from point which is it height . Maximum value of for the body to successfully complete the loop is

physics-General

Condition for vertical looping

physics-

#### Velocity-time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all forces on the particle is

Initial velocity of particle,

Final velocity of the particle,

According to work-energy theorem,

Final velocity of the particle,

According to work-energy theorem,

#### Velocity-time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all forces on the particle is

physics-General

Initial velocity of particle,

Final velocity of the particle,

According to work-energy theorem,

Final velocity of the particle,

According to work-energy theorem,

Maths-

#### Domain of definition of the function, is

#### Domain of definition of the function, is

Maths-General

physics-

#### If represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively(as shown)in the gravitational field of a point mass m. Find the correct relation between

Gravitational field is a conservative force field. In a conservative force field work done is path independent.

#### If represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively(as shown)in the gravitational field of a point mass m. Find the correct relation between

physics-General

Gravitational field is a conservative force field. In a conservative force field work done is path independent.

physics-

#### Given below is a graph between a variable force (along -axis) and the displacement (along -axis) of a particle in one dimension. The work done by the force in the displacement interval between and is

#### Given below is a graph between a variable force (along -axis) and the displacement (along -axis) of a particle in one dimension. The work done by the force in the displacement interval between and is

physics-General

physics-

#### A particle of mass moving with a velocity makes an elastic one dimensional collision with a stationary particle of mass establishing a contact with it for extremely small time . Their force of contact increases from zero to linearly in time , remains constant for a further time and decreases linearly from to zero in further time as shown. The magnitude possessed by is

Change in momentum = Impulse

= Area under force-time graph

Area of trapezium

= Area under force-time graph

Area of trapezium

#### A particle of mass moving with a velocity makes an elastic one dimensional collision with a stationary particle of mass establishing a contact with it for extremely small time . Their force of contact increases from zero to linearly in time , remains constant for a further time and decreases linearly from to zero in further time as shown. The magnitude possessed by is

physics-General

Change in momentum = Impulse

= Area under force-time graph

Area of trapezium

= Area under force-time graph

Area of trapezium

Maths-

#### Let be a set containing 10 distinct elements, then the total number of distinct functions from to is-

#### Let be a set containing 10 distinct elements, then the total number of distinct functions from to is-

Maths-General

maths-

#### The number of bijective functions from set A to itself when a contains 106 elements-

#### The number of bijective functions from set A to itself when a contains 106 elements-

maths-General