Maths-
General
Easy
Question
If
and
then the value of
' is
- 2
- 1
The correct answer is: ![s i n invisible function application a](data:image/png;base64,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)
We are given that
then we are asked to find the value of a
siny=xsin(a+y).
∴x=siny/sin(a+y).
Differentiating w.r.t. y, using the Quotient Rule, we have,
dx/dy=[sin(a+y)⋅ddy{siny}−siny⋅ddx{sin(a+y)}]/sin²(a+y),
=[sin(a+y)cosy−sinycos(a+y)⋅ddy(a+y)]/sin ²(a+y),...[The Chain Rule],
=sin(a+y)cosy−sinycos(a+y)/sin ²(a+y),
=sin{(a+y)−y}/sin ²(a+y),
=sina/sin²(a+y).
⇒dy/dx=sin a
Therefore the correct option is choice 3
Related Questions to study
Maths-
The maximum value of
under the restriction
is
The maximum value of
under the restriction
is
Maths-General
Maths-
The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2, and 6. Then the other two are
The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2, and 6. Then the other two are
Maths-General
Maths-
are three non zero real numbers such that ![open parentheses x subscript 1 end subscript superscript 2 end superscript plus x subscript 2 end subscript superscript 2 end superscript close parentheses open parentheses x subscript 2 end subscript superscript 2 end superscript plus x subscript 3 end subscript superscript 2 end superscript close parentheses less or equal than open parentheses x subscript 1 end subscript x subscript 2 end subscript plus x subscript 2 end subscript x subscript 3 end subscript close parentheses to the power of 2 end exponent blank text then the G.M. of end text x subscript 1 end subscript comma x subscript 2 end subscript comma x subscript 3 end subscript text is end text](data:image/png;base64,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)
are three non zero real numbers such that ![open parentheses x subscript 1 end subscript superscript 2 end superscript plus x subscript 2 end subscript superscript 2 end superscript close parentheses open parentheses x subscript 2 end subscript superscript 2 end superscript plus x subscript 3 end subscript superscript 2 end superscript close parentheses less or equal than open parentheses x subscript 1 end subscript x subscript 2 end subscript plus x subscript 2 end subscript x subscript 3 end subscript close parentheses to the power of 2 end exponent blank text then the G.M. of end text x subscript 1 end subscript comma x subscript 2 end subscript comma x subscript 3 end subscript text is end text](data:image/png;base64,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)
Maths-General
Maths-
When 10 is subtracted from all the observations, the mean is reduced to 60% of its value. If 5 is added to all the observations, then the mean will be
Hence, the new mean is 30.
When 10 is subtracted from all the observations, the mean is reduced to 60% of its value. If 5 is added to all the observations, then the mean will be
Maths-General
Hence, the new mean is 30.
Maths-
If mean deviation through median is 15 and median is 450, then coefficient of mean deviation is
Hence, the coefficient of Mean Deviation is 1/30.
If mean deviation through median is 15 and median is 450, then coefficient of mean deviation is
Maths-General
Hence, the coefficient of Mean Deviation is 1/30.
Maths-
The standard deviation of the data given by Variate (x) 0 1 2 3. . . . . n Frequency (f) ![blank to the power of n end exponent C subscript 0 end subscript blank to the power of n end exponent C subscript 1 end subscript blank to the power of n end exponent C subscript 2 end subscript blank to the power of n end exponent C subscript 3 end subscript midline horizontal ellipsis times blank to the power of n end exponent C subscript n end subscript](data:image/png;base64,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)
The standard deviation of the data given by Variate (x) 0 1 2 3. . . . . n Frequency (f) ![blank to the power of n end exponent C subscript 0 end subscript blank to the power of n end exponent C subscript 1 end subscript blank to the power of n end exponent C subscript 2 end subscript blank to the power of n end exponent C subscript 3 end subscript midline horizontal ellipsis times blank to the power of n end exponent C subscript n end subscript](data:image/png;base64,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)
Maths-General
Maths-
If the standard deviation of 0,1,2,3…..9 is K, then the standard deviation of 10,11,12,13…. 19 is
If the standard deviation of 0,1,2,3…..9 is K, then the standard deviation of 10,11,12,13…. 19 is
Maths-General
Maths-
When 15 was subtracted from each of the seven observations the following number resulted : -3,0,-2,4,6,1,1. The mean of the distribution is
When 15 was subtracted from each of the seven observations the following number resulted : -3,0,-2,4,6,1,1. The mean of the distribution is
Maths-General
Maths-
The standard deviation of a variable x is
. The standard deviation of the variable
where a, b, c are constants is ...
The standard deviation of a variable x is
. The standard deviation of the variable
where a, b, c are constants is ...
Maths-General
Maths-
If
then the value of
dx is equal to
If
then the value of
dx is equal to
Maths-General
Maths-
If
then I equals
If
then I equals
Maths-General
Maths-
Maths-General
Maths-
A square ABCD is inscribed in a circle of radius 4. A point P moves inside the circle such that
min(d(P,BC),d(P,DA)) where d(P,AB) is the distance of a point P from line AB. The area of region covered by the moving point P is (sq units)
A square ABCD is inscribed in a circle of radius 4. A point P moves inside the circle such that
min(d(P,BC),d(P,DA)) where d(P,AB) is the distance of a point P from line AB. The area of region covered by the moving point P is (sq units)
Maths-General
Maths-
If
then the value of
is equal to ____
If
then the value of
is equal to ____
Maths-General
Physics-
2k-mol of an ideal diatomic gas is enclosed in a vertical cylinder fitted with a piston and spring as shown in the figure. Initially the spring is compressed by 5 cm and then the electric heater starts supplying energy to the gas at constant rate of 100 J/S and due to conduction through walls of cylinder and radiation, 20 J/S has been lost to surroundings ( Take K=1000 N/m,
atomospheric pressure,
, cross section area of piston
, mass of piston m=1 kg R=8.3kj mol k) Answer the given question based on this information.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/620748/1/1119656/Picture5.png)
The initial pressure of the gas is
2k-mol of an ideal diatomic gas is enclosed in a vertical cylinder fitted with a piston and spring as shown in the figure. Initially the spring is compressed by 5 cm and then the electric heater starts supplying energy to the gas at constant rate of 100 J/S and due to conduction through walls of cylinder and radiation, 20 J/S has been lost to surroundings ( Take K=1000 N/m,
atomospheric pressure,
, cross section area of piston
, mass of piston m=1 kg R=8.3kj mol k) Answer the given question based on this information.
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/620748/1/1119656/Picture5.png)
The initial pressure of the gas is
Physics-General