Maths-
General
Easy
Question
Statement I : Graph of y = tan x is symmetrical about origin
Statement II : Graph of
is symmetrical about y-axis
- 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 both (A) and (R) are true, and (R) is the correct explanation of (A) .
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
Related Questions to study
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
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 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 :
can never become positive.
Reason : f(x) = sgn x is always a positive function.
Assertion :
can never become positive.
Reason : f(x) = sgn x is always a positive function.
Maths-General
Maths-
If f (x) = ![open curly brackets table row cell e to the power of cos invisible function application x end exponent end cell cell sin invisible function application x text for end text vertical line x vertical line less or equal than 2 end cell row cell text 2, end text end cell cell text otherwise end text end cell end table comma text then end text not stretchy integral subscript text -2 end text end subscript superscript 3 end superscript f left parenthesis x right parenthesis d x equals close](data:image/png;base64,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)
If f (x) = ![open curly brackets table row cell e to the power of cos invisible function application x end exponent end cell cell sin invisible function application x text for end text vertical line x vertical line less or equal than 2 end cell row cell text 2, end text end cell cell text otherwise end text end cell end table comma text then end text not stretchy integral subscript text -2 end text end subscript superscript 3 end superscript f left parenthesis x right parenthesis d x equals close](data:image/png;base64,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)
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-
Function
f(x) = 2x + 1 is-
Function
f(x) = 2x + 1 is-
Maths-General
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
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
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 ?
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)
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 ?
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)
Maths-General