Maths-
Assertion :
can never become positive.
Reason : f(x) = sgn x is always a positive function.
Maths-General
- 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.
- If both (A) and (R) are true, and (R) is the correct explanation of (A) .
Answer:The correct answer is: If (A) is false but (R) is true.
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Related Questions to study
maths-
Assertion: The function defined by
is invertible if and only if
.
Reason: A function is invertible if and only if it is one-to-one and onto function.

Assertion: The function defined by
is invertible if and only if
.
Reason: A function is invertible if and only if it is one-to-one and onto function.
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
maths-
Assertion: The period of
is 1/2.
Reason: The period of x – [x] is 1.

Assertion: The period of
is 1/2.
Reason: The period of x – [x] is 1.
maths-General

maths-
If f (x) = 
If f (x) = 
maths-General
maths-
The value of the integral
dx is :
The value of the integral
dx is :
maths-General
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
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-
Assertion (A) :
Graph of 
Reason (R) : In the expression am/n, where a, m, n × J+, m represents the power to which a is be raised, whereas n determines the root to be taken; these two processes may be administered in either order with the same result.
Assertion (A) :
Graph of 
Reason (R) : In the expression am/n, where a, m, n × J+, m represents the power to which a is be raised, whereas n determines the root to be taken; these two processes may be administered in either order with the same result.
maths-General
maths-
Function
f(x) = 2x + 1 is-
Function
f(x) = 2x + 1 is-
maths-General
maths-
Statement-
If
Where
is an identity function.
Statement-
R defined by
is an identity function.
(I) 

identity function (correct)
(II)
is an identity function (correct)
(II)
Statement-
If
Where
is an identity function.
Statement-
R defined by
is an identity function.
maths-General
(I) 

identity function (correct)
(II)
is an identity function (correct)
(II)
maths-
Statement I : Graph of y = tan x is symmetrical about origin
Statement II : Graph of
is symmetrical about y-axis
y = tan x is odd function so must be symmetrical about origin &
is decretive of y = tan x so it must be even imply symmetrical about y-axis or vice-versa
Statement I : Graph of y = tan x is symmetrical about origin
Statement II : Graph of
is symmetrical about y-axis
maths-General
y = tan x is odd function so must be symmetrical about origin &
is decretive of y = tan x so it must be even imply symmetrical about y-axis or vice-versa
maths-
Statement 1 : f : R
R and
is bijective.
Statement 2 :
is bijective.

Statement 1 : f : R
R and
is bijective.
Statement 2 :
is bijective.
maths-General

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-
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