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
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-
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 under curve of - graph= 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 under curve of - graph= 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
Slope of curveThe 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
Slope of curvephysics-
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
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 stableThe 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
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 stablephysics-
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