Maths-
General
Easy
Question
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
- If both (A) and (R) are true, and (R) is the correct explanation of (A) .
- If both (A) and (R) are true but (R) is not the correct explanation of (A) .
- If (A) is true but (R) is false.
- If (A) is false but (R) is true.
The correct answer is: If (A) is false but (R) is true.
Related Questions to study
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
Maths-
Function
f(x) = 2x + 1 is-
Function f(x) = 2x + 1 is-
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maths-
If f(x) is an even function and 
Exist for all 'X' then f'(1)+f'(-1) is-
If f(x) is an even function and Exist for all 'X' then f'(1)+f'(-1) is-
maths-General
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
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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?
If reaction is R and coefficient of friction is, what is work done against friction in moving a body by distance d?
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
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
physics-
The pointer reading 
load graph for a spring balance is as given in the figure. The spring constant is
The pointer reading load graph for a spring balance is as given in the figure. The spring constant is
physics-General
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
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
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
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
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
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
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 
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
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
