Maths-
General
Easy
Question
Assertion :
can never become positive.
Reason : f(x) = sgn x is always a positive function.
- 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 true but (R) is false.
Related Questions to study
Maths-
=
=
Maths-General
maths-
Evaluate
dx
Evaluate
dx
maths-General
maths-
If
. The integral of
with respect to
is -
If
. The integral of
with respect to
is -
maths-General
maths-
is
is
maths-General
maths-
dx equals:
dx equals:
maths-General
maths-
If I =
, then I equals:
If I =
, then I equals:
maths-General
maths-
The indefinite integral of
is, for any arbitrary constant -
The indefinite integral of
is, for any arbitrary constant -
maths-General
maths-
If f
= x + 2 then
is equal to
If f
= x + 2 then
is equal to
maths-General
maths-
Let
, then
is equal to:
Let
, then
is equal to:
maths-General
maths-
Statement I : y = f(x) =
, x
R Range of f(x) is [3/4, 1)
Statement II :
.
Statement I : y = f(x) =
, x
R Range of f(x) is [3/4, 1)
Statement II :
.
maths-General
maths-
Statement I : Function f(x) = sinx + {x} is periodic with period ![2 pi](data:image/png;base64,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)
Statement II : sin x and {x} are both periodic with period
and 1 respectively.
Statement I : Function f(x) = sinx + {x} is periodic with period ![2 pi](data:image/png;base64,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)
Statement II : sin x and {x} are both periodic with period
and 1 respectively.
maths-General
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-
Statement I : Graph of y = tan x is symmetrical about origin
Statement II : Graph of
is symmetrical about y-axis
Statement I : Graph of y = tan x is symmetrical about origin
Statement II : Graph of
is symmetrical about y-axis
maths-General
maths-
Statement-
If
Where
is an identity function.
Statement-
R defined by
is an identity function.
Statement-
If
Where
is an identity function.
Statement-
R defined by
is an identity function.
maths-General
Maths-
Assertion (A) :
Graph of ![open curly brackets left parenthesis x comma y right parenthesis divided by y equals 2 to the power of negative x end exponent text and end text x comma y element of R close curly brackets](data:image/png;base64,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)
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 ![open curly brackets left parenthesis x comma y right parenthesis divided by y equals 2 to the power of negative x end exponent text and end text x comma y element of R close curly brackets](data:image/png;base64,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)
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