Maths-
General
Easy
Question
=
The correct answer is: ![fraction numerator 1 plus square root of 1 minus x to the power of 2 end exponent end root over denominator x end fraction plus 2 t a n to the power of negative 1 end exponent invisible function application square root of fraction numerator 1 plus x over denominator 1 minus x end fraction end root plus C](data:image/png;base64,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)
Related Questions to study
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
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