Maths-
General
Easy
Question
then the general solution of
=
![n pi plus left parenthesis negative 1 right parenthesis to the power of n pi over 6 comma straight for all n element of Z](data:image/png;base64,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)
![n pi plus left parenthesis negative 1 right parenthesis to the power of n pi over 4 comma straight for all n element of Z](data:image/png;base64,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)
![n pi plus left parenthesis negative 1 right parenthesis to the power of n pi over 3 comma straight for all n element of Z](data:image/png;base64,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)
- Empty Set
The correct answer is: Empty Set
Related Questions to study
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,iVBORw0KGgoAAAANSUhEUgAAARUAAAAPCAYAAADK1FurAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAA/BJREFUeNrtWl9kHEEcHnEiqi9RFXWqVERE1L1URR6qVFVF1FEVFVVHH6oqqlSe+lB5qaqqvkRF5SFCVVRFlKqoE32JioiIUFVRlZeqOHFOuf5+d99dp5O93Zm9293Z6358ZCZ7u/vN78/8ZmaFqKKDOEXcJZaIeeKIOIiyCBYTAd47So1F4m/iN+IX4lviMY3fnSA+Jm7inbeJD4lHRHSYCOEZtuj2a7cwY8ZaW7IB7xJTYJa4HPIAXYUDpdpMYy9xTenjAHnp8btR4irxIhKigEPniO8icsKgbWSTblO7/YxZUgncloWIBXYT14nviZfbTCPrmVP6sg59MgYwM3Zb5IRh2Mgm3aZ2K8coqYRhy0p5N+yjlKu1r8AZuFz8SDxu+Pxp4hjxOvF5m2l8QLyv9M1iJnYbj1sG2kakpcImZnsVJ1GZ7UNT2UIb2aTbxG5lhU7+c4n4ycN/eHx3cA1XRF0xjrdKaVnAIHYaBhwLfIR1MOMGhOpiiLiIv3swWF5B70WbNL7CbMClfIY4o7GW5QSY1rz/GYzZINqDaA8p1602CDqbbGSTblO7uVUq7HtLxH4X/2E9W0gQ/MybxCcxjrd61ueX+068bRBw55S+DswcOkjB6HKm/SwNfqsRhcZtafALHhVKDSUDTa/FwQ1nbr9R+vZ9LivCtJFNuk3t5pZU5jT8ZwHVg4wfMY+3f0qwXyjVjmouDfyuI7nEvKf0TRmWwDZr7JD2crg6Oo9n9rUwuPYcKq9O9Kt7BCsOjmuTjWzR7cdubn7SpXF9AZWDqrEd4q0+qJMOWb+VAdePLKnirKge3QVSjoWskUvaD0rfNZSvbtg0WCeXDQL0MPEF7t9noY1s0e3HbuUm+3XGKc7xVg+6YoABl3d5yaCPLcPSOIa1uIxxOLgb+Pj7TotnbBmTDRwsahvZotuP3ZpNKnwkfaiJJVYc4q2yDt0JKOB4E+qpy//nRXW3PM4aGc+wkSZjRqMU59n6q9D70Ir3FkYdSv4Fj2RastBGNuj2a7eS+PtdjR//4dOeXEBJJZJ4y2MQ05JxF/EyrQ44dph1lKSNkPMYBNs1yptvtQ0+3rvhnfs1ZYadx73U7wWyCLBx6foetPPSdadFdQd/AO1TaA97jO+yhTaKWreJ3VSsNUg6uv7Ti/e/gDaf7szGON4qx0wLWArUPmHPaq4DTUXyUd2Ix/tw4G/HWKNc0tZKzCISSNphlnBKKowMZuQ9XMP3m3MIHB7PLejaaHCv2nvwZ+dLHtVAVDaKWreJ3VTwqcxuk/7DiXIF77rhUInFKd4SRIywlnsJEiT4D5DBrJRKhiJBggStQFoc/D4hQYLY4g+UnARqFk3CCgAAASR0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+U2luPC9taT48bW8+JiN4QTA7PC9tbz48bWk+QTwvbWk+PG1vPj08L21vPjxtaT5TaW48L21pPjxtbz4mI3hBMDs8L21vPjxtaT5CPC9taT48bW8+LDwvbW8+PG1pPkNvczwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPkE8L21pPjxtbz49PC9tbz48bWk+Q29zPC9taT48bW8+JiN4QTA7PC9tbz48bWk+QjwvbWk+PG10ZXh0PiYjeEEwO3RoZW4mI3hBMDs8L210ZXh0PjxtaT5BPC9taT48bW8+PTwvbW8+PC9tYXRoPuEcbgIAAAAASUVORK5CYII=)
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,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)
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
![](data:image/png;base64,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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
physics-
In the relation
P is pressure, Z is distance, k is Boltzmann constant and
is the temperature. The dimensional formula of β b will be:
In the relation
P is pressure, Z is distance, k is Boltzmann constant and
is the temperature. The dimensional formula of β b will be:
physics-General
maths-
The number of values of k for which the system of equations
has infinite number of solutions is
The number of values of k for which the system of equations
has infinite number of solutions is
maths-General
maths-
The value of λ such that the system ![x minus 2 y plus z equals negative 4 comma 2 x minus y plus 2 z equals 2 comma x plus y plus lambda z equals 4](data:image/png;base64,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)
has no solution is
The value of λ such that the system ![x minus 2 y plus z equals negative 4 comma 2 x minus y plus 2 z equals 2 comma x plus y plus lambda z equals 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVMAAAAPCAYAAABZcCxMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAA29JREFUeNrtW79rVEEQXo4jSLhGDjnEInCkEBERrIIEG5EQ5AhpREREBLGwsBBEJFgEQVKkEkHEQiQERERCSCMWIiIBEQliIYj/gljIkWad4U1gWfdedt/tzu672w8+uPcj783MN7O/3kaIODgNfAX8A9wFfgVeEhlVcR4oc+xr63+uBzMawB/A2ZrXXFC8B14Etuj4GPAjnctwA8bwu4Ow4x77FP3P9TAYTeAasF3jmmPHFHDH8zPlGCTbE+C1IX0NEXtujJr/3DbJhN8zB1yqU83hxYeG88t0jQN97fgZ8ILhvlvAB56Fu0/367yT+JT1nadi6EfOCU6tbf2PnRN9y/t86CQT1gmn+18SqVvrmkODO8rxVeAjpsSZoamNiivAFe3cJK2jtAMX2GGafh0qefZ+DIkJGrlMefDVFHvunIipdZn/sXLC1iZfOsnEdcJYzEbWyKnmcDi9Sr/PKi1waBwAblOrr2Ie+NLQEy15ThAdB4FvgUcSHpXiSOSmB18HxZ47J2JpvZ//MXLC1iafOsmEdboBvE2j4pgaOdccGnNGFF8U2xaBGbYnxgC8AZ4zXMP3f1OOsbf5SckWyh589gbwONP6URV7TxhGLVWStCz23DkRQ2tb/zlzwtamcdFpmuIhaMTZiqRRpZrDtY9d+uPQ6FKgpkvu+av8XiX7fPe2KtYtpxMxp/nbhpjJALHnzglOrV3858oJF5t86yQT1KlBHcTe8sU94PVIGjnX3N5+NwxQ6G0ZR4FPab2lDB8oybrUAzYCFthjUewfSx3DNuK2sefOCS6tXfznygkXm0LoJBPUaVnz5RS9O4ZGTjXXpWHyJA2lP4twe7s6tO7StLj3ObAnir1mlwMmyF1RLK7XFTJA7DlzgktrF/+5csLFplA6ycR0mqHOQccvzbeYdWv0Bdc9tjQjsaV/EciITeqJbacuuPC8E7CBwd4v5S1QVX1dp/MLFWLPnRNcWtv6z5kTtjaZ9PSlk0xIpxZNq00dwooy1Y9dt//5gp/7XwvzFzAUb455yKxjgc73Agbl9wBbJkawMbWJfYyc4NLaNvc4c8LWJl3PUdUJR76LA67hevCnROq2dv8U1FOCl+EOLKr5rHXWM+uUsUXrJxnuOCmKbSzNrHXWM+s03sA9Y5s5DJWB079O1jrrmXUKj3+mt93LMYy+AgAAAXJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bW4+MjwvbW4+PG1pPnk8L21pPjxtbz4rPC9tbz48bWk+ejwvbWk+PG1vPj08L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjQ8L21uPjxtbz4sPC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1pPnk8L21pPjxtbz4rPC9tbz48bW4+MjwvbW4+PG1pPno8L21pPjxtbz49PC9tbz48bW4+MjwvbW4+PG1vPiw8L21vPjxtaT54PC9taT48bW8+KzwvbW8+PG1pPnk8L21pPjxtbz4rPC9tbz48bWk+JiN4M0JCOzwvbWk+PG1pPno8L21pPjxtbz49PC9tbz48bW4+NDwvbW4+PC9tYXRoPq3wvU4AAAAASUVORK5CYII=)
has no solution is
maths-General
maths-
Let
If AB is a scalar
multiple of B, then ![x plus y equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADYAAAANCAYAAADi+J2zAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAKIPF7gAAAAPZJREFUeNpjYKAu+M8wCEEyEHdgEW+GylHTY3OBOByLeAEQt9LCc+eAWByJnwjEU2gQY/FA3IUmxgXEt4BYGIe5hDBe4AHEfVC2CxDvpVFS9ALiVWhi9UBcS8skuRuI7YH4Ao7Qo0ZIgsy9gsQXBeK7QMxBS4+B0vkvINajceHxDYndB7WX2gEIB9ZAvAZqUSSNPXYYiJWgGBRbTLSKKZAFm6CZmAeIzxCRFCnx2EIg9gPipUAcSytPgdL4NjSP+ADxYhp6rABa7F+ilafYgHgdEEtjkVsOLSlpAQKgAeHHMMwAyEPHGYYhACV9y+HmKR0g3kJLCwA13ka8Q0aL9wAAAGd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eDwvbWk+PG1vPis8L21vPjxtaT55PC9taT48bW8+PTwvbW8+PC9tYXRoPnsLs8IAAAAASUVORK5CYII=)
Let
If AB is a scalar
multiple of B, then ![x plus y equals](data:image/png;base64,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)
maths-General
chemistry-
An open tank is filled with Hg upto a height of 76cm. Find the pressure at the bottom of the tank and middle of the tank. (If atmospheric pressure is 1 atm) respectively are
![](data:image/png;base64,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)
An open tank is filled with Hg upto a height of 76cm. Find the pressure at the bottom of the tank and middle of the tank. (If atmospheric pressure is 1 atm) respectively are
![](data:image/png;base64,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)
chemistry-General