Maths-
General
Easy
Question
The domain of the function ![f left parenthesis x right parenthesis equals square root of cosec space x minus 1 end root text is end text](data:image/png;base64,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)
Hint:
In this question, we have to find the domain of f(x). For that for easy calculation we will convert cosec x to 1/sin x. Now as denominator cannot be less than zero, so, the sin x > 0. Thus, using this we can fine the domain of f(x) .
The correct answer is: ![left parenthesis 2 n pi comma left parenthesis 2 n plus 1 right parenthesis pi right parenthesis](data:image/png;base64,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)
Related Questions to study
physics
In the figure Velocity (V)
position graph is given. Find the true equation.
![](data:image/png;base64,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)
In the figure Velocity (V)
position graph is given. Find the true equation.
![](data:image/png;base64,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)
physicsGeneral
physics
Ball A is thrown in upward from the top of a tower of height h. At the same time ball B starts to fall from that point. When A comes to the top of the tower, B reaches the ground. Find the time to reach maximum height for A.
Ball A is thrown in upward from the top of a tower of height h. At the same time ball B starts to fall from that point. When A comes to the top of the tower, B reaches the ground. Find the time to reach maximum height for A.
physicsGeneral
Maths-
The domain of ![f left parenthesis x right parenthesis equals fraction numerator 1 over denominator vertical line sin invisible function application x vertical line plus sin invisible function application x end fraction text is end text](data:image/png;base64,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)
The domain of ![f left parenthesis x right parenthesis equals fraction numerator 1 over denominator vertical line sin invisible function application x vertical line plus sin invisible function application x end fraction text is end text](data:image/png;base64,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)
Maths-General
Physics
A particle is thrown in upward direction with initial velocity V0 It crosses point P at height h at time t1 and t2 so t1 t2 ……..
A particle is thrown in upward direction with initial velocity V0 It crosses point P at height h at time t1 and t2 so t1 t2 ……..
PhysicsGeneral
Maths-
Maths-General
Maths-
The domain of the function ![f left parenthesis x right parenthesis equals fraction numerator tan invisible function application 2 x over denominator 6 cos invisible function application x plus 2 sin invisible function application 2 x end fraction text is end text](data:image/png;base64,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)
The domain of the function ![f left parenthesis x right parenthesis equals fraction numerator tan invisible function application 2 x over denominator 6 cos invisible function application x plus 2 sin invisible function application 2 x end fraction text is end text](data:image/png;base64,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)
Maths-General
Maths-
Let
is given by![f left parenthesis x right parenthesis equals 4 x cubed minus 3 x text then end text f to the power of negative 1 end exponent left parenthesis x right parenthesis text is given by end text](data:image/png;base64,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)
Let
is given by![f left parenthesis x right parenthesis equals 4 x cubed minus 3 x text then end text f to the power of negative 1 end exponent left parenthesis x right parenthesis text is given by end text](data:image/png;base64,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)
Maths-General
Maths-
If ![f left parenthesis x right parenthesis equals fraction numerator 10 to the power of x minus 10 to the power of negative x end exponent over denominator 10 to the power of x plus 10 to the power of negative x end exponent end fraction text then end text f to the power of negative 1 end exponent left parenthesis x right parenthesis equals](data:image/png;base64,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)
If ![f left parenthesis x right parenthesis equals fraction numerator 10 to the power of x minus 10 to the power of negative x end exponent over denominator 10 to the power of x plus 10 to the power of negative x end exponent end fraction text then end text f to the power of negative 1 end exponent left parenthesis x right parenthesis equals](data:image/png;base64,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)
Maths-General
Maths-
If
,then the inverse function of ![f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
If
,then the inverse function of ![f left parenthesis x right parenthesis text is end text](data:image/png;base64,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)
Maths-General
maths-
If
observe the following
![text l) end text delta f equals 2.11](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAARCAYAAABD/oseAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAd9JREFUeNpjYCAOdABxFsMooCo4CsR6VDaTCYjFR0oA/kfjGwPxYSL1ygPxBCC+AMTfgPgP1Lxf0EAEAQ8gfgfFV4CYhUrutgbiNUD8CWofyA3RROpVA+JaqB5qqMMboAzQADUmoE8UiO8DcTIQc+FQAwq8p0BsAOVrUTEhHATiSCDmQTL7KFSMEFgMxGk4/E6OOoIBmgctT/EBe6gH8IEgIF5Ox9wGyjGXKPQ7JepwKrYE4r1EphJQLLogZXFkUA/E5XQuwn4MxgBlg5ZNxLYMVkHLGeRiYh3UbBiOxGM/IUwssCQi1wxIgDJAC3pCIB6IVaBsWWigIpeTN6Di9AAcQHwSWlkNyQBtRApMGAgH4oVITaVvdApMQSDeAMRuFLZwBizLS0NTAzoAeWgTlG0OxPuJtJ+SLK8EDUwVKjQZB6xSCodWRuggA4inQdmgMnM+jVOmBhDPxtNsGzQBmgPEXQQCdDeWVH0NiE2h/EnQNhytgDi0MqSko0C3ACXUsJeFNk9ioWUlqP23DRqIyLW8Fw0DdAs0hRJbpAxYgBLb9fSC1uIg/XehnQFk8A5a89Kyy0xMmYtP7D8RAU5uE46qgyOgbunz0XEmSLlJabk3AZpyO0aDkzrAGNqHH9YAABXnmXpVh6LGAAAAjXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtdGV4dD4mI3hBMDtsKSYjeEEwOzwvbXRleHQ+PG1pPiYjeDNCNDs8L21pPjxtaT5mPC9taT48bW8+PTwvbW8+PG1uPjIuMTE8L21uPjwvbWF0aD4o9v6cAAAAAElFTkSuQmCC)
![text II) end text d f equals 2.1](data:image/png;base64,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)
![text III) Relative error in end text x text is end text 1](data:image/png;base64,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)
The true statements are
If
observe the following
![text l) end text delta f equals 2.11](data:image/png;base64,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)
![text II) end text d f equals 2.1](data:image/png;base64,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)
![text III) Relative error in end text x text is end text 1](data:image/png;base64,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)
The true statements are
maths-General
Maths-
Statement I :
is one - one
Statement II :
are two functions such that ![g o f equals I subscript A text and end text fog equals I subscript B comma text then end text f equals](data:image/png;base64,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)
![g to the power of negative 1 end exponent](data:image/png;base64,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)
Staatement III : ![f left parenthesis x right parenthesis equals sec squared invisible function application x minus tan squared invisible function application x g left parenthesis x right parenthesis equals cosec squared invisible function application x minus cot squared invisible function application x comma text then end text f equals g](data:image/png;base64,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)
Which of the above statement/s is/are true.
Statement I :
is one - one
Statement II :
are two functions such that ![g o f equals I subscript A text and end text fog equals I subscript B comma text then end text f equals](data:image/png;base64,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)
![g to the power of negative 1 end exponent](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB4AAAATCAYAAACHrr18AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAM9JREFUeNpjYKA9UAPiWiC+wEBnsBiI04D4P8MAgaFt8X88eHj6mOoWcwFxFxC/BuIfQLwGiKcAcTktLWYB4oNQS1iguAiI/wBxAJXTAwoAZfJWLBpvAbEkLePgORALo4kxAfEXWlpqDMSHsYibA/F+WlocBC3a0EEkEM+npcV+QLwcRzmbTEuL+YD4JRAbQPkG0Kz0FIjtaZ3BQb5+CMS/gPgMELtB8zMTvUsaHRzBT1WgAcTTkPKrKRAfhYrTFPAA8SRonv0GxNugPqYZAADzkzPYh49PxwAAAH50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1cD48bWk+ZzwvbWk+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTwvbW4+PC9tcm93PjwvbXN1cD48L21hdGg+H1FNrQAAAABJRU5ErkJggg==)
Staatement III : ![f left parenthesis x right parenthesis equals sec squared invisible function application x minus tan squared invisible function application x g left parenthesis x right parenthesis equals cosec squared invisible function application x minus cot squared invisible function application x comma text then end text f equals g](data:image/png;base64,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)
Which of the above statement/s is/are true.
Maths-General
physics-
A glass capillary sealed at the upper end is of length 0.11 m and internal diameter
m. The tube is immersed vertically into a liquid of surface tension
N/m. To what length has the capillary to be immersed so that the liquid level inside and outside the capillary becomes the same?
![](data:image/png;base64,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)
A glass capillary sealed at the upper end is of length 0.11 m and internal diameter
m. The tube is immersed vertically into a liquid of surface tension
N/m. To what length has the capillary to be immersed so that the liquid level inside and outside the capillary becomes the same?
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)
physics-General
physics-
Water flows through a frictionless duct with a cross-section varying as shown in fig. . Pressure p at points along the axis is represented by: A resume water to be non-viscour
![](data:image/png;base64,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)
Water flows through a frictionless duct with a cross-section varying as shown in fig. . Pressure p at points along the axis is represented by: A resume water to be non-viscour
![](data:image/png;base64,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)
physics-General
physics-
A cubical block of wood 10 cm on a side floats at the interface between oil and water with its lower surface horizontal and 4 cm below the interface. The density of oil is
. The mass of block is
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)
A cubical block of wood 10 cm on a side floats at the interface between oil and water with its lower surface horizontal and 4 cm below the interface. The density of oil is
. The mass of block is
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)
physics-General
physics-
Water flows through a frictionless duct with a cross-section varying as shown in fig. Pressure p at points along the axis is represented by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOgAAABiCAYAAABagp/GAAAFWUlEQVR4nO3cS0hUfRzG8Wd834huiyRBIgyRCKEQOxMZaaGbxFZBbqLcxn9auAiCiGACyaCNYdMQBA1EKzcToaFGCV2gywzNLhIhCNx2WQQxi/MuokXO+DaDl/9vznw/cDY+R/iBPMz/osbCMAwFwKQG3wMAWB4FBQyjoIBhFBQwjIIChlFQwDAKChhGQQHDKChgGAUFDKOggGEUFDCMggKGUVDAMAoKGEZBAcMoKGAYBQUMo6CAYRUV9PPnz4rFYjyr8LS3t+vZs2dr/XNFRFRU0G3btkmSwjD841mK/O/5lStXdPLkSV2/fr0kB5aK8V/91t/CwoISiYS2bNmi27dvq7m52fdIMIo9qAdtbW2anp7Wvn37FASBHj586HskGMUnqGeTk5NyzunMmTO6du2a73FgTFWfoEsPPMhXnp84cUK5XE7z8/M6dOiQPn78WPJ9qF9VFdTCIUsU86amJk1MTGhwcFBBEOj+/fsl34v6xBLXmOfPn8s5p97eXo2Pj/seB55xSGRMT0+P8vm8fvz4oYMHD+rdu3e+R4JHFX2Cfvr0Sa2trSXLtqX7LPLVz2OxmMbHx3X+/Hmh/rDENa5QKMg5pz179iiVSmnr1q2+R8I6YolrXEdHh169eqXGxkYFQaCnT5/6Hgnr6J9kMpn0PQT+rr+/X01NTRoaGlIYhurp6fE9EtZBVUtcC3sy8l+/G93V1aVMJqOdO3cK0cU9aA3m379/1+HDhxUEgbLZbMl7iA4OiWrY1NSUnHM6ffq0RkdHfY+DNcAhUQ0bGBhQPp/XwsKC+vr69OHDB98jYZVV9An6/v17dXZ2mt2Tkf/y+8/XhoaGhGhgiRshL168kHNOR48eVSqV8j0OVgFL3Ajp7u5WPp/Xz58/FY/H9ebNG98jYYUoaMRs2LBBd+/e1blz53TkyBHdunXL90hYAe5BI5wXCgUlEgm1trZq//79gm0XL14s+Rp70Dpw+fJlFYtF32Pgf9y4caPs3TcFBQyIxWJlC8oeFDCsooLOzc2Z+R8+5ORRzJfDEhcwgCUuUIMoKGDYv9W8bO2ej5w8Snk57EEBA9iDAjWIggKGVVTQbDbr/Z6InDzK+XLYgwIGsAcFahAFBQzjHpSc3EheDntQwAD2oEANoqCAYRUVNJPJeL8nIiePcr4c9qCAAcvtQas6xYV9T5488T0CVhEFjYhv377JOafHjx8rCALf46BKfX19Zb/OPWgE8tnZWTnnNDAwoC9fvgjRwR60xo2MjGhsbEzpdFqDg4O+x8EqY4lboxYXF+WcU7FYVC6X0+7du32PhDXAPWgNymazOnDggDo7OzU1NUU5oyyswL1798Jyr0r64yFf+/zSpUthS0tLODk5WfI+ooc9aI2Yn5+Xc07bt29XOp3Wjh07fI+EdcAStwY8ePBAQRDo+PHjmpiYoJx1hEMi44aHhzU7O6tHjx7p2LFjvsfBOuMe1HDe1dWlvXv3KpfLadOmTUL9qWqJG4bhHw/52uR37txRQ0ODzp49q0wmQznrGEtcQ4rFopxzKhQKev36teLxuO+R4BmHREa8fPlSQRBo48aNevv2LeWEpAoLOjY25v3v5aKcb968Wb29vbpw4YJSqVTJe6hf3IN69PXrVyUSCS0uLiqdTqu9vd33SDCGJa4nMzMzisfj2rVrl+bm5ignyuKQyIORkRHdvHlT6XRap06d8j0ODKuooFevXlUymVzrWepGd3e3crmcWlpafI8C49iDAoaxBwUMo6CAYRQUMIyCAoZRUMAwCgoYRkEBwygoYBgFBQyjoIBhFBQwjIIChlFQwDAKChhGQQHD/gMrch19arvMmQAAAABJRU5ErkJggg==)
Water flows through a frictionless duct with a cross-section varying as shown in fig. Pressure p at points along the axis is represented by
![](data:image/png;base64,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)
physics-General