Maths-
General
Easy
Question
and the equation
has at least one solution then the value of (a+b)
Hint:
In this question, we have to find the value of (a +b) if
and the equation
has at least one solution. For that first we will solve the given equation to find all the possible value and later examine it with the condition given to find the required answer.
The correct answer is: ![pi](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAKCAYAAABv7tTEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHZJREFUeNpjYEAFWUD8DYj/48HlaHoYFgKxLBCvAeIAJHEQ34eBALgL1QwD94FYHJ8GFqgTkflfCNliCcT70fh7CWmKBOL5SPxwqF/xgmlAnIjEbwbiKcQEggESvxWIdwOxChBzYdMACuZzaGKmQPwJiBczUAIA0CEatBcOsq8AAABPdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPiYjeDNDMDs8L21pPjwvbWF0aD4fatH3AAAAAElFTkSuQmCC)
Related Questions to study
Chemistry
Correct order for stability of carbocation is
![](data:image/png;base64,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)
Correct order for stability of carbocation is
![](data:image/png;base64,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)
ChemistryGeneral
maths-
If ![x equals sec space theta plus tan space theta comma y equals cosec space theta minus cot space theta text then end text y equals](data:image/png;base64,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)
If ![x equals sec space theta plus tan space theta comma y equals cosec space theta minus cot space theta text then end text y equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVMAAAAPCAYAAABZcCxMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAABHJJREFUeNrtW1FkXEEUfVatVVEiKioqRFVVrP5ERD6qVEVFrFDVj6go/az+9iOqqlQ/8tWfiqiKCBVRVVGqIioiRK1YK0o/qioq7EdUxArTe3fvi5fJvDfz3puZdt/O4dA3O9nZe++ZO3fmTT2vPTEMXAL+Aq4CB52NDs7HxuxjTirZxCAJJEfPZ4HfDYxTawMbnY5ax8c1C/bVXDJtL5SBPVzbR2BR8yrLWthGh+z5mFmwj7lk2sQ94HNB+1P6TCf6gCvAfXK0yNl3gD+BB8DXwELINmSV+vwATkjGvU7fxWMBeFOjKBlHHmPADWAd+I3sEI1xi6qBA7LzvMLYaWycBd4WtD8EPjOwhYyK3SiwSj6qks+ypCObvpLpUYd9UWP4z/i36xI9y+KVdG7Y1HYDX4HdgedJ4MsYSYMpBm4zZHIEtxjb5CDcZtwHTnN9rgB3gSXqcxE4L7FvBjguaMftzA2LlSn+zssBH1cEf4tieQHsDfRbVRg3jY13acwgTlPC79IYf1nsBmmi9NNzPz0PZUhHqtDlqzjVYVL7oipTLMiWgZci9KwSr6Rzw5a2jzAS+PG4On02VAVjJdEZ8fkSrVBB7HDPi8AHMcetRjim+x9t83NUUfB/e02hn24bsXJ4y7U9Bk5pjr8sdotUbfHV17sM6ci2r5gF+6KS6byCnlXilXRu2NL2MXwCXqUzky5DY+AquyZwnI8/gqDtCZ7PxBgzJ/iOqPa0K1Qc8TJNZ09JbfTRxVXJ/kuHgub4y2KHn+e5trzAhnbQkS5fMcP2yXRbUOivEq+kc8OWtk+cIWCWLyomgaSlcAdtJ6q0dVH53qTJyqMgiSrtAVrdkya+JP2maHtxGNM2ZsHG/cC/p0kPtheasM/rGdKRLr2p+opZsI+lbE8TL/afaPsIw+Sw6YjVXjceec2z2iBqdJ4Rhd2YFYV/1cMTlPqTFpPpKzrzKRioTHXY+MVrvtjpo5U7ZyDmstipVlutrCPbvmIW7EubTFXilSaZ2tB2AzjAezIGV/tNg9t82XkHvsWT3SCYiXnW1UFHF0F00gTMG0im9ZBg7Rnc5uuw8Y3XfKmDZ1wThmIui92id/LFUilkkreqjmz7qq6YPNLYFzaGqp5V4pUmmdrQduP8YJlLnniIPWchmaLzVri2C7Ry+G8Oe8kRfPLHayLjFEC8EzcrGasSECa+VVz3Th7e60qm5ZDqfjsgGPzNePVsxzt+py+NYFRtXKDvKwmOedCPWwZjLovdAMXfv/FQpOfhDOnItq/KMXabSe0LG0NVzyrxSjM3jGs7T6tYT8iEGzF0DoQ8pCR+LuSMZo36VDzxFRi8NrJBfcpe9DUZX2hlWkG3FPqnAb5x/C0IcpFW+Tr9dtxWPaG+OgSjamNYMi1Ru0nfqMRulBaeOsW/1KY60uWrMD3qtC9sjDh6lsUrzdywpW2HNoToEvYYVSIODlmD07aDsWoHV/5TXDtWeEPOPQ4ZhNO2gxHgsQ5/pw//98wH5xqHDMK4tv8CwZhX4D8kWmgAAAFtdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPng8L21pPjxtbz49PC9tbz48bWk+c2VjPC9taT48bW8+JiN4QTA7PC9tbz48bWk+JiN4M0I4OzwvbWk+PG1vPis8L21vPjxtaT50YW48L21pPjxtbz4mI3hBMDs8L21vPjxtaT4mI3gzQjg7PC9taT48bW8+LDwvbW8+PG1pPnk8L21pPjxtbz49PC9tbz48bWk+Y29zZWM8L21pPjxtbz4mI3hBMDs8L21vPjxtaT4mI3gzQjg7PC9taT48bW8+JiN4MjIxMjs8L21vPjxtaT5jb3Q8L21pPjxtbz4mI3hBMDs8L21vPjxtaT4mI3gzQjg7PC9taT48bXRleHQ+JiN4QTA7dGhlbiYjeEEwOzwvbXRleHQ+PG1pPnk8L21pPjxtbz49PC9tbz48L21hdGg+wHBoFwAAAABJRU5ErkJggg==)
maths-General
Maths-
For all values of
, the values of
lie in the interval
For all values of
, the values of
lie in the interval
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General
maths-
does not exist Extreme Values; ![cos space invisible function application x plus sin to the power of 4 space x element of](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHgAAAARCAYAAAAWn2hAAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAkJJREFUeNrtmD9IAlEcx0XCISQIiQiRoEEiRIKICIcIGhpEJIiQaIiWpmiL5pZoCIk2aYpokYiGlghxiAgiGiRaHBya3BokRLi+D37C47jzvXe9u+S8L3zQu6d3v99935/fu1AokBvaBEbwGPypFHgKDPanRsEziAcG+1NlsEjfA4P7VE6NOQBbGq4TqE8NNmxwS9OgCN5AC7T93KmMAYtpDdTALpgDEZk/ZUAV/ICGabphyoIP6insM2dxjSlQoR4l24N3wLHF+SNq0/kwZeIzbI7XQZ2eD3tOCQ0xOck9QaN2WKVHzIImyIMwSIIrrn2BkktxW4E6V1B09WpjvEgs4HHueBucuzBaZOKzMpiZewImufiqmmJSzf2MfFKu/vYE7VmLEX1rOteirYKqVsEpfV8Bjy5NhzLxWRm8bDoXpplMh1Rz/6L7K+kbjAjazfN8hM7zytMmv+Ag0QewBN5BzGFBIypuZOIzJDuPzjVWJfe2g7yFwRo9bmZWFJRonU4qJLlP10u7XNCI4vsPg1VydzSCm5pGMK9DWl9kC7wyTVUFlw0Wxee1waq5F52swSWJNThnMd3d9PiP7DrFKts7qgqjVAjFPDDYLj4vDXaSe4J+F1W9UYP2Vyxx9i71gmufp6p5ho7TdJwRbAEqgvuOgXtTUqx4u/TAYLv4vDL4L7lvcPtgtgMakt0qvYAOLfY5i6r5k3p9zWaa6C70HQp+osf9IjQDxC3arqm6dOPlgyg+LwzWkbv5TVYnFLweHTz9AnTuwppBKpTKAAAAzHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5jb3M8L21pPjxtbz4mI3hBMDs8L21vPjxtbz4mI3gyMDYxOzwvbW8+PG1pPng8L21pPjxtbz4rPC9tbz48bXN1cD48bWk+c2luPC9taT48bW4+NDwvbW4+PC9tc3VwPjxtbz4mI3hBMDs8L21vPjxtaT54PC9taT48bW8+JiN4MjIwODs8L21vPjwvbWF0aD61bF2OAAAAAElFTkSuQmCC)
does not exist Extreme Values; ![cos space invisible function application x plus sin to the power of 4 space x element of](data:image/png;base64,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)
maths-General
Maths-
Maths-General
Maths-
The minimum and maximum values of
are
The minimum and maximum values of
are
Maths-General
Maths-
The minimum and maximum values of
are
The minimum and maximum values of
are
Maths-General
Maths-
Maths-General
physics-
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is
![](data:image/png;base64,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)
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXUAAACzCAMAAABB5XznAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAK4UExURf////7+/vn5+fb29vX19fT09Pf39/39/fDw8Gtrazk5OTo6Ojs7Oz4+Pj09PW1tbdra2ufn5yIiIgAAACYmJjAwMC8vLywsLBsbGxYWFi0tLRoaGhERES4uLisrK1tbW9XV1eXl5SMjIzExMba2ttjY2NPT09fX17i4uEVFRb6+vs7OzoWFhR8fH2ZmZsbGxtHR0SQkJEBAQOLi4uDg4Obm5qampicnJ4CAgNzc3NnZ2UNDQzg4ON7e3vr6+qGhoXx8fOvr67+/v319fZSUlBUVFYKCgp+fnxgYGHd3d6qqqvj4+NLS0kdHR+7u7rW1tfLy8rm5uR0dHV9fX+/v77u7u1paWvz8/J6eniEhIXt7e/Pz88nJyTw8PFZWVuPj44aGhpqamtDQ0EJCQkREROjo6FdXV1NTUwwMDJKSkrq6ul1dXczMzH5+figoKGdnZx4eHqysrN3d3YqKirCwsGxsbCkpKVRUVOrq6m9vb62trWlpaZiYmMTExLGxsU9PT9/f33FxcWNjY5mZma6urlBQUFJSUpCQkMPDwzQ0NMfHx4+PjxkZGdTU1FVVVRISEoeHhxAQEHNzc/Hx8WVlZXV1dUZGRq+vr46OjjIyMre3t4uLi5GRkYODgyUlJfv7+xQUFDY2NqWlpXl5eU1NTcHBwaurq5WVldbW1srKynR0dMLCwqKioqmpqRcXFzc3N6ioqF5eXhwcHLS0tA0NDXp6empqasjIyCAgIEpKSoGBgeTk5L29vUtLS5aWlqOjo25ublxcXMDAwCoqKg8PD42NjVlZWTU1NQ4ODsXFxc3NzWhoaFFRUbKyskFBQT8/P9vb24SEhFhYWAUFBQQEBDMzMwICAry8vJeXlwoKCpOTkxMTE52dnZycnAYGBunp6aSkpImJiYyMjAsLCwEBAQkJCWJiYgAAAOQEdiUAAADodFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wCyLaC6AAAACXBIWXMAABcRAAAXEQHKJvM/AAAFlUlEQVR4Xu2dQZKzIBSEcwbccgbuoQt23sClK67gnvJy3OeHDJlAzJ+AZnhg+ktq5k2latSXrrYBEy8AAAAA+AASz+uzIFIYcIUJ5Xvy90jeMb9ZChjjvrIw1gV/lYaJ2ffk75HMjGome4xTsHm1cnGrKR6+JQWQbCq4tQ1qmgJHHdjqq5NjtU7b9XDzC+vLntWokJxW6+Y7u16T1ofv6Tqxr5t7n+XCVmi9AN+q9cp83VcnB1qngNrXTezryDAlgK9T8OjryDAlgK9TsPF1X54caJ2CmnwdY9NCwNcpsF0P+gxfLwN8nYI57DrGpoWAr1OADEMBfJ0CZcLNI8OUAb5OQSvzMFJ+VA7QehJjP/rqI9S2blpp11f+0avSoPUkBi58tRs5369eJff1YPMV53WrB1/tZp7E78FB60mMTB/ds5Hf/0Vl8+u1ZpjRHO56eHDQehKz0UfbtLLlrvWKfL3iDDNPR9ukBLuHT2g9CanZ4MudSB16Kbmv3/tc85xj3y2+2slsjK8s0HoaNrAf27UoBdU0v17znKM19kMf0ZN9aFHQeiKCHzL2+EBrml93eb3arh+ciYmnFKD1RKwvH2hUbDBV+XrNGeYiBT+QYkYWfq4WWk/GNm53p2TPoyPDumkqUu8X+/DQZWg9mf1iV5rFbxjWTZPZ7exyfRxiQevpjMbsWj2dmXkYYdU2v15z121m35Me52kT9aH1DKzH5M/GKLF9ryqbX6/8Okc1ZVu76rtth6H1LEbGhqxdtGfSR1O3YN00C7lwk6N21/QnZ2BoPQ/b9gwbVCt/ugZVk69Xn2Ecdid5attn8VTp0PoOBsPTvvpxnLh+HvBrWjetP8P8MBqu359T1cpY/5/eQus7mHvGxethqlw0Dy6AeaCy+fXaM4xHDpqb/v8Lqcq+/up9gdb3oRZj+z48a7xUg+BcLy/6inXTvcz9xNnUDyraZTUuYnrTc2j9CFbTrvFa9MswjuOwLKvQjPNJvO6563o9vt5KhgmYV21sn7n7Lm3ObcVsy99fOAOtH0WNw2o1rm1mEcuSNktTm6/7sjmkVBmX/X5U6/lCPYHWb8joUF7zMV+X9uy9vh45PCEam7aVYR6Jlwpe8xGt244Pq2Zdl73SciKt20N5fxr1HPd12/Fem87xcP1BAq1nmIByvi5nOyj46bgj/zOZ36r1/b5ujbw33DfcwfrZDhbSmH/ae5oM83Aobzig9cUaeQzv3IAhCa+Lb80w+319saMy3+4fuJlSuU3YbeYcG3aYQhlGuuASdD7/ZApf34V0nf/VfP6/igXSdoYpm9dtWr91PvtkeC5fL5jXr0g1rJPJv7XXZmzqywYprPVflI+DGZxJ6yb9s5G1rZvC1wvwrRmmovl1ZJhCnErr7fq6LxsEWqegVV9HhikEfJ2CaGyKDFMI+DoFyDAUwNcp2Mw5wtcLAF+nIPJ1ZJhCwNcpiASCDFMI+DoFm7wOXy8AfJ2CWCDIMGWAr1OwGZv6skGgdQpaXjeFrxcAvk5B5OvIMIWAr1Ow8XVfNgi0TkFTvh5sHhmmEPB1CiJfR4YpBHydgo2v+7JBoHUK2vL1e5+RYQoBX6cAGYaCE2ld6pyu1+XrvmyRIf1bz6D1j5Gx6zX5etsZJgdonQJyXw8333SGyQFap6A2X/flyYHWKajJ15FhCgFfpyAamyLDFAK+TgEyDAXwdQo2c47w9QLA1ymIfB0ZphDwdQo2Y1NfnhxonYLa8jp8vQDf6+uUB2q7HmzeZhhfnRzJuFiv9CRPxu1PV7pfmk/ul3+J4Nm/uzHph5DM3W/netOdjpd/urtxuK278vrnrSB58M5k38lvF3JcLIP7QUIvfFEHA+VJrhzyOw4TAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAuVwu/wAjaT7dOpd9YgAAAABJRU5ErkJggg==)
physics-General
physics-
In a sine wave, position of different particles at time
is shown in figure. The equation for this wave travelling along positive
can be
![](data:image/png;base64,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)
In a sine wave, position of different particles at time
is shown in figure. The equation for this wave travelling along positive
can be
![](data:image/png;base64,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)
physics-General
Maths-
The function ![sin space open parentheses x squared close parentheses](data:image/png;base64,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)
is
The function ![sin space open parentheses x squared close parentheses](data:image/png;base64,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)
is
Maths-General
Maths-
The period of the function
where [.] de-notes the greatest integer function, is
The period of the function
where [.] de-notes the greatest integer function, is
Maths-General