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–
Maths-General
Answer:The correct answer is: 
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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
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
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-
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
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 1st 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 1st 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

maths-
If f(x) is an even function and
Exist for all 'X' then f'(1)+f'(-1) is-
that the range of x – [x] is [0 , 1) then of [x] – x is (–1 , 0]
If f(x) is an even function and
Exist for all 'X' then f'(1)+f'(-1) is-
maths-General
that the range of x – [x] is [0 , 1) then of [x] – x is (–1 , 0]
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
maths-
Function
f(x) = 2x + 1 is-
Function
f(x) = 2x + 1 is-
maths-General
maths-
Assertion : Fundamental period of
.
Reason : If the period of f(x) is
and the period of g(x) is
, then the fundamental period of f(x) + g(x) is the L.C.M. of
and T
Assertion : Fundamental period of
.
Reason : If the period of f(x) is
and the period of g(x) is
, then the fundamental period of f(x) + g(x) is the L.C.M. of
and T
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.

maths-
Assertion : Let
be a function defined by f(x) =
. Then f is many-one function.
Reason : If either
or
domain of f, then y = f(x) is one-one function.</span
Assertion : Let
be a function defined by f(x) =
. Then f is many-one function.
Reason : If either
or
domain of f, then y = f(x) is one-one function.</span
maths-General
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