Maths-
General
Easy
Question
If
then the general solution of ![A over 2 equals](data:image/png;base64,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)
The correct answer is: ![fraction numerator n pi over denominator 6 end fraction plus pi over 18 comma straight for all n element of Z](data:image/png;base64,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)
Related Questions to study
physics-
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,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)
, ![C D](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAANCAYAAACzbK7QAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAARJJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIim7gcQ/0fCX4B4FRDLM+ABJUC8BYhtgZgJKiYLxAVAPB9JnQrUATAAUisJxDlQBwVhM7wciGczEAcCgHgpDrlQIP6E5EAwUAPiu0DMQqQF9VDf4gKg4DJFFuiBBgOxABTWfnjk9wKxC7LANWi4EgtuQcMcF7gPxKLIEfSDBMOZoEGAC3AB8UtkATZopBALzKFBgAvEY0ssX6A2EwMigXguHvlLQKyHLjiXQKpABpOAOBGH3AQoxgCg3PcOiCuRciwHEPtALUdOEeuA2AMtiN2AeBsQT8PnMlAqWgiND1DW/wDEa4DYC03dO6Ti4Q80QkGZzpKB3gAAo5Q2qtpORIkAAABTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPkM8L21pPjxtaT5EPC9taT48L21hdGg+ImzGpgAAAABJRU5ErkJggg==)
The graph between the displacement
and
for a particle moving in a straight line is shown in figure. During the interval
and
the acceleration of the particle is
![](data:image/png;base64,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)
, ![C D](data:image/png;base64,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)
physics-General
maths-
then the general solution of
=
then the general solution of
=
maths-General
physics-
Velocity-time
-
graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is
![](data:image/png;base64,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)
Velocity-time
-
graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is
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)
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maths-
In
![R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals](data:image/png;base64,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)
In
![R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals](data:image/png;base64,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)
maths-General
maths-
then the general solution of
=
then the general solution of
=
maths-General
maths-
Solution of
is
Solution of
is
maths-General
maths-
The general solution of
is
The general solution of
is
maths-General
maths-
If ![Sin space A equals Sin space B comma Cos space A equals Cos space B text then end text A equals](data:image/png;base64,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)
If ![Sin space A equals Sin space B comma Cos space A equals Cos space B text then end text A equals](data:image/png;base64,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)
maths-General
maths-
In
(B-C) ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
In
(B-C) ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
maths-General
maths-
If
then principal value of ![theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=)
If
then principal value of ![theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=)
maths-General
maths-
If then
If then
maths-General
maths-
If
and
are acute angles such that
and
then ![A equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAANCAYAAABVRWWUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJBJREFUeNpjYMAPChjoDMKB+BcQs9DLQkEgvgTEu4E4gF6WzgTiSCCOB+Ip9LDQEoi3QNniQHyXgPr/RGC8ABR/Z4BYFknsHBBr0NKX9UBcgibWCsRZtLJQA+ordGAPxJtoFbyH8WiiSdZJA+IJeOSXA7EXNS2UhOZJHjxqkgk4imSwCoh9CKiRBuJbDEMZAABr7iyLEy33WQAAAFN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPj08L21vPjwvbWF0aD6je85bAAAAAElFTkSuQmCC)
If
and
are acute angles such that
and
then ![A equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAANCAYAAABVRWWUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJBJREFUeNpjYMAPChjoDMKB+BcQs9DLQkEgvgTEu4E4gF6WzgTiSCCOB+Ip9LDQEoi3QNniQHyXgPr/RGC8ABR/Z4BYFknsHBBr0NKX9UBcgibWCsRZtLJQA+ordGAPxJtoFbyH8WiiSdZJA+IJeOSXA7EXNS2UhOZJHjxqkgk4imSwCoh9CKiRBuJbDEMZAABr7iyLEy33WQAAAFN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPj08L21vPjwvbWF0aD6je85bAAAAAElFTkSuQmCC)
maths-General
physics-
Three persons
and
of same mass travel with same speed
such that each one faces the other always. After how much time will they meet each other?
![](data:image/png;base64,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)
Three persons
and
of same mass travel with same speed
such that each one faces the other always. After how much time will they meet each other?
![](data:image/png;base64,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)
physics-General
physics-
Figure given shows the distance–time graph of the motion of a car. It follows from the graph that the car is
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Qg+PJcCDo0frhs/AlA63RqNBqNRqPRaDQajUajsRtfX/8AwPm3C9zGvrIAAAAASUVORK5CYII=)
Figure given shows the distance–time graph of the motion of a car. It follows from the graph that the car is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWsAAADNCAMAAABJqqENAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAL6UExURf////39/f7+/vLy8tjY2MnJyd/f3/Pz87a2tmlpaVZWVqSkpNvb26urq7m5uenp6evr646OjiUlJRQUFISEhLi4uFhYWHR0dNPT0/z8/Ozs7JSUlDAwMB8fH4mJibGxsUhISGtra9TU1JWVlTExMSAgIIqKiqysrEBAQGxsbN7e3j8/P21tbeDg4KWlpe7u7p6eniIiIp2dnScnJ29vb/v7+5aWljMzM3t7e/b29pOTkzo6OoGBgZGRkT09PYODg+jo6I2NjUVFRYuLi/Dw8OLi4uTk5PX19dzc3IeHh1BQUJmZmVNTU2NjY8LCwtra2oaGhlFRUZeXl8bGxktLSwICAhkZGerq6vj4+MzMzH9/f11dXaOjoxwcHAAAAAgICERERKKiovT09Lu7u3h4eLCwsPHx8QYGBgEBAU9PT9LS0q+vr3JycnV1dbq6us/Pz1VVVQcHBxMTEyEhIRISEi8vL+Hh4Zubm8rKytDQ0IiIiDc3NyoqKlJSUk1NTZqamvr6+oKCgl5eXpycnHFxcaCgoFpaWjk5OVRUVM7OzrS0tNfX12RkZA4ODsHBwcXFxUdHR2BgYA8PDzU1NUNDQ9XV1V9fX7y8vEpKSltbW93d3XZ2duPj45KSkmJiYsTExO3t7Z+fn/n5+ZiYmGpqajIyMqenp8fHx4CAgNHR0XNzc6qqqklJSUFBQYWFhff398jIyGFhYaampr29vU5OTllZWdnZ2eXl5Xd3dwoKCtbW1hAQEDY2NmhoaMPDw7KyssvLy2ZmZr+/v+/v76ioqDs7O25ubo+Pj3BwcHp6er6+vufn5+bm5j4+Pn19fTg4OGVlZQwMDBcXF2dnZ66urkZGRhoaGgUFBRERER4eHlxcXCwsLLOzs8DAwEJCQldXVzw8PLe3t83NzTQ0NHx8fLW1tS0tLRUVFaGhoX5+fgkJCXl5eSkpKSYmJgsLC0xMTCgoKK2trS4uLgMDAxsbG4yMjCsrK6mpqR0dHZCQkBYWFhgYGA0NDQAAAL9T8goAAAD+dFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8A2NkMcQAAAAlwSFlzAAAXEQAAFxEByibzPwAACk5JREFUeF7tnVty4yoQhrOjLp5YBCvgRUUVG+CZpbAFNsAru2A50y1rEl3sRLYli5b4ksnRuMY+cfvXTzfXr0aj0Wg0Gs8SdBiuGjsTs1PDJRtCtDBccgK8KH64ZoN1meO9CEoyjLXJerjkBHgp2MU6ysRU1wxjbXh6iGfoIVEklm0jR10rkYcrVrD0ayXScMUKlnmIkjxjzVHXXrL7lQmOfg3K8GwbMQ/hVqODNxzkASFMFcFR18EbBvIIymU7XN9gmF8Dj1hr0xU/ETZHXeuU64918KXrTBwHm2EeAjbNbs4KIb/oMNjjPjKG+TXYnKqPtXZdEaWTatRxw1HXKvvau1S1d0YK4dy4ZWHo18G7sVqqJGalcjHRulHzyFDXIbtJk1Mj2kLIRdovq0ex5ufXwU1anFrRrsg4XN9gqGstDYeRAo26nsWan19b41jEGnXNvW4E5ViMNp5B1xpTvtqbRuIMfm19rj4NIe7qmpmHUNXIRdcLv2ama+Wqrxp7zuDX3ngOTeMZdA1J8BhHCrnj7teQZ++gVvjrGnR21Xeo9vD3aw4dqjfu5tesPERnHtn1GXTNZ+o1f7/mM72M+q9Z5yH467LoDEG061jrGnTKPDI+/n5NWQiPjI+/X4dU/1Djf7j38wVjuMj6fn7NSNeWx/BXD3O/DirzmXh916/5eIjFLIRNrIMrgrGuFZOu6x7eeQgkyaPruufOXHdGeQhNLhsuORD0aH4ZwUjX2DIyspA7MPJrjfckm5bxHnx0DVFm1qFm5NfBOy4NywPY6Boig5Ubv8PGryFNF1XVzf91pJiL/DTnbOpGbVjMcO8B612/zoT6RH7Wm3DRNUQeM4EJagO7zoUv67pO/OSpXPzapsTHQrRKppPR+uxV/FmUziUPUYbXdlpWFpdmy9WY6JpXVwgCuZS5Onj4Ndhc/7LoCRjXhTp46JqGz1lZCKrDlHmZy8OvLbsN+SDKbv47c9A1kw1DxoC2NNyIwh5pm4Nfg2eybOMGIFYFi4ENWD8OjyIc6sbgHKNQh4hJtdVfIQkZNV58w0DXIbLagjl4Ieg2BCs7Y8fbazHwa6zOGckardrfFgVCTH4yClZ/HoJqUOPfmC/V65pfGfOQ6v06sFm08SfV65r9KOMPtfu19vyOCXlE5bqGVP8+Wqup268By5iTNIwI6rpiD6F9WT4ua9Baz3b43Ya6dX3ExFSdspNyj/KpZr8+IrUGrZTySYo8m/i4ATXnIUeshw6x/3Stk9vfURXrGuIBW+UPnaDB7zBFomK/jgeuG9V+hykS9eqaNgp54+1CsD6pZQsHMTvnph1wS+IeaX21fv3mzHZ8uhFiuRpSe9EhBROcZbTh/+S7oPaYp1mrrulck3eUZVM2pVvsf6Exw5BGijKe+/WNHRZghziarbQdtfp1SOZNswYrunnRSbMCNQ0HZgz2YvoGpnv9ZxMmI1fbUWndGFJ+2zCt7GbjlKCjvb2qzl03e9uY9vQfLxr9TicQ16nr8azUEFU/aocOPAo/itAZN/me3wcadT2L9feoNvium2z6YpNDI5fYZmKGjdIPdvvJP1X69WgNQYhZFLICuu3HazPpRABj6E//E4M984sv8pBHXkBve+IhNouuSOcjZppJeYX59eY+UmUeMtolXydTCrZj6N9CoNfeHl0Fecg8/v8J2cxj6SVN+MG7J6eMXCS/1n7kFnhPmyJj9JgaPPfuf9O1lfNVCuBu80ppJs2N2+MbUqFfY7o33dMpokDvVCV/sWwbv6HRnpkd0zSl7cM7oT5d077t0xAF0y2KEqCbfcp6vwa/2F4neDFbqb891fk1WDevQPD2Xhqv9sZgVTL6muchD/06xPmMf3y5LHffBqY2XdNhX/OghVTu7Q2Myhx/L3ika8xylu0eTU2/9yJbUptfQ14sYwTrl/PGV/DAr8MwBQxt6Oc1IRWz+2J31HVNHkKN1vwtWxVToRt8kzzEDoU4ynuU7GjMQvYOdWW6phRk7JpULlss46IQSocnS2c90jVgiOnZWJAKp6hW8XmcWEYjFIR7jrMhVfk15hbTFCQ6LOKwfbOmOD+ZX/sXQdtEnXnDk2zuCjYDwUvqUb0xEn1IUnob9451TXnIIgWh7IBslO6+54pGfGZBhLytSKCJ55ZUTQ92pcPvsWlgninRxZ/5H7xARbq+M2yOt/VNl98XawGN3qPxx+T5AR/6Zvx6T7/+K9Tj16DTW4Ne9VOPrknVpw51PX6Nqj7NhNQH1KJrNsdrvEElfs1q985XqaJupGbx/KGuQ9e0tP/8oa7Br3tVD9enpoI8hMMZ3JtwvK7vdFiflKP9+iLNYs/BusZQp5OsgP6bY/0aQ53PXi3+cKiugcs5xdtwpF/DfGjg5BxYNwbPfJ/2ZzlO1zST7Dr+QRzl18DngNHNOCoPiafZgWU9x+g6xGu1ijcO8evA/fSS1zhA1zCZX30hDvBr2jb8iqH+vK7Rqv2FasUxn/Zr9A9Oe6NuymfrxmCvl1X/8FFd0zHQ22+BwoZP+rXdYDEuZz6Xh9AC0ev6B/ExXdOWZFdtFAc+5Nf9AMylRY18Rtf9AvOrh/ojfk1j5Vf3D2J/XVP3x4WT6hG7+3WI6fKN4sDOdSO1ic2pB/bVNSjH7XCpHdnTrzH7aPYxYr88BGxrE6fspet+f4+9Nz9hxk5+DTb/uY/m5dhF12CTa9nHgh38mrZbuXbn6QM213WgJrFlH/fY2K9pO8jW9/GATetG0P15982o77OlrjHSWQ2bwzaWbObXfenSko/f2CgPCVZRmjf8rXGXLXRNRwM401rEv9jAr7EaN1nttD/3mXhX1xCTyym2cnwFb/k1ZtM+u4vOOn2e13UNQWN76K44af1FXvVroLrF5Kf2J7w6r9WN/ckMrT18khd03fcu5aRae/gkT/o1hKhSdtgetkA/zTN5CLaGEU26Dbi8yGpdA0o6GzLpvbd4PS0r/Robw2xcUq1oeYMVuqZ+JTrnotUsb/K7X9OxWFQaoqRbY/g2D3WN/tx3lEpsC1vFsgmP/JqSaAwzOfT34XCN91jWjaBJzphCJ387zK+xEaTrYScxTJ+t8j4h/ZEMLcwbA16IFALt7K98cnQeMJXf4QtGJ76xY3hzlQFRFmEwxKVgmA0KmvB0AAtXlod91YLOZThvBaGAF/p6CP4TOi+k5q8iqt2fVd8k3J8lhKCmbz/7i/6/4y8WtFHmxkF8H7Hf2J3YbvRPEfz88NHGLoR+WLh1Zn0AiEl05dI75HyMoDDWRtlmIh8gUN9itZX0uYB85wzulbSP6Dm0LOnV7Bqs961VXQ0oIV/vsbDZGN8Wiqwk+GJmseo7QleCbl+Ki6GZyQqiEbOzyIPK0qyC/pmko4mFufxWXWtIYn60P8Qs12Hw2xnRdZ1ok5H/JjhsGWcGAMES+u8/2uLnQoNHbbLKCqwpSb9eyARvhGmaXkWImPHFlxMJ2n6/ZSFr0TQg+PJcCDo0frhs/AlA63RqNBqNRqPRaDQajUajsRtfX/8AwPm3C9zGvrIAAAAASUVORK5CYII=)
physics-General
physics-
A rocket is fired upwards. Its engine explodes fully is 12s. The height reached by the rocket as calculated from its velocity-time graph is
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)
A rocket is fired upwards. Its engine explodes fully is 12s. The height reached by the rocket as calculated from its velocity-time graph is
![](data:image/png;base64,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)
physics-General