Maths-
General
Easy
Question
If
then
=
- 1
- -1
![1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJFJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CgYLsAbiNUD8CYh/QaujaHIMOgjEkUDMA+VrAfFRqBjFQB6IL1HLyz+oYYgl1HsUAQ4gPgmNBLKBIBBvAGI3SgxRghqiQokhGkA8G4i5KDFEHIhXATELpYG7BeoimhZyWAEAI3M1I31CbrEAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+ND6jrQAAAABJRU5ErkJggg==)
![negative 1 half](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAjCAYAAABsFtHvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJ5JREFUeNpjYKA+UAPiWiC+wDAAYDEQpwHxf4YBBKOWj1o+avmo5TSzFB2PglEwuMB/IjA5ekZT/ygYfsAaiNcA8Scg/gVtOkfTy/KDQBwJxDxQvhYQH4WKDQiQB+JLAxkdPwbKYkto0NMdcADxSWhCpCsQBOINQOxGb4uVoBar0NtiDSCeDcRc9LZYHIhXATHLQCSwLVCfD7rGCFYAALTDPhrASBIsAAAAbHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4tPC9tbz48bWZyYWM+PG1uPjE8L21uPjxtbj4yPC9tbj48L21mcmFjPjwvbWF0aD7iC9uVAAAAAElFTkSuQmCC)
Hint:
In the question first we will simplify the given trigonometric expression and the find the value of sin(A+B),sin(B+C), sin(C+A) using the trigonometric formula cos(A+B)=cosA.cosB -sinA.sinB. Then we will use the derived value to find the required result.
The correct answer is: -1
Related Questions to study
Maths-
The maximum value of the expression ![open vertical bar square root of open parentheses sin squared space x plus 2 a squared close parentheses end root minus square root of open parentheses 2 a squared minus 1 minus cos squared space x close parentheses end root close vertical bar](data:image/png;base64,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)
where and x are real numbers is
The maximum value of the expression ![open vertical bar square root of open parentheses sin squared space x plus 2 a squared close parentheses end root minus square root of open parentheses 2 a squared minus 1 minus cos squared space x close parentheses end root close vertical bar](data:image/png;base64,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)
where and x are real numbers is
Maths-General
Maths-
If
and
then ![open parentheses a squared plus 4 close parentheses open parentheses b squared minus 1 close parentheses squared](data:image/png;base64,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)
If
and
then ![open parentheses a squared plus 4 close parentheses open parentheses b squared minus 1 close parentheses squared](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHcAAAAVCAYAAAB8BXHbAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAATRJrTQAAAAopJREFUeNrtWU8oREEcnvawOUg5OMhBSZKDlIMkuThJcnWUkiQHFwdJctkcHNycJElJTpKSJG1ykRwclKMkN0mSWr+pTz2z8+fN23m7817vq692377Zt998M9/8ZpaxDElHCfwmFontWZekDzniLPE264r04ivrgnTG3hDxMsv89MVeM/q/TXUD//GFhIov4PlxaPMh9nT6OojHMFiKbuJ1wjO/CB1xaXMeew70cUNPiA2mhj0JET+KpUBEL/HKQtsnEsdJ7DkAn4HLxDvF5zJ93NhO3Zf24IfHmvmOUE98UJjLIL43hDZeG9xbdLo29hxhlzit0SbTV5LwH9aJcxWOuCjiSxGetUWc0rSdF9ZWlbZx4n7IQWuMvRgqdBZSnxGnxEFFkbRKfEU1zOOi1aF4W3MHiOeGtv2Be3TaVohL0PeCWuFCMkCNsVdlc0V9RrwT85LrfDZuEhth9AFGvCvxNubmEaOthrZ56DFp41qeiIsBfRuS2WyMvSqbK+oz4kdybQIdEMQOccSheJt7C0K86tp+G7RxPBK7hGsNth1XA3NFfZHMvUAEBHEpieUoBx46qrZpRYsOMJmbQ6Usoq5Cc6Pqi9VcWXSJ2wT++qPKI/QPN6z85KuSWO7D4K14PUtCLJ+hWAniTVLM3NbIXJvZIBok08aXnG3Jcxawz/TZXOsBKNsuPCOm/sBFH9bIXJu2c9Cj08aLxElFwdbsubmiPiNkG/017ClzWGf3UBn7bm6YQ4wjFFTDeN+Ca5PMD9gcYoTCNSs/t1xCxbyMWfwq2Qr51AGq40dRG9cxBoN/sH8f90STbslR6TMizOF6E/Mbcf9x4Ku+UJhhbv4WqwX4OjSdUm1h9JXhF4t14ft4W9OtAAABJXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZmVuY2VkIHNlcGFyYXRvcnM9InwiPjxtcm93Pjxtc3VwPjxtaT5hPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bW4+NDwvbW4+PC9tcm93PjwvbWZlbmNlZD48bXN1cD48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bXN1cD48bWk+YjwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4MjIxMjs8L21vPjxtbj4xPC9tbj48L21yb3c+PC9tZmVuY2VkPjxtbj4yPC9tbj48L21zdXA+PC9tYXRoPuxgY6IAAAAASUVORK5CYII=)
Maths-General
Maths-
The maximum value of
under the restrictions
and
is
The maximum value of
under the restrictions
and
is
Maths-General
Maths-
Let
be two sets. Then
Let
be two sets. Then
Maths-General
Maths-
If
then
is
If
then
is
Maths-General
physics-
A long cylindrical tube carries a highly polished piston and has a side opening. A tuning fork of frequency n is sounded at the sound heard by the listener charges if the piston is moves in or out. At a particular position of the piston is moved through a distance of 9 cm, the intensity of sound becomes minimum, if the speed of sound is 360 m/s, the value of n is
![](data:image/png;base64,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)
A long cylindrical tube carries a highly polished piston and has a side opening. A tuning fork of frequency n is sounded at the sound heard by the listener charges if the piston is moves in or out. At a particular position of the piston is moved through a distance of 9 cm, the intensity of sound becomes minimum, if the speed of sound is 360 m/s, the value of n is
![](data:image/png;base64,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)
physics-General
Maths-
The value of
The value of
Maths-General
Maths-
For any real , the maximum value of
is
For any real , the maximum value of
is
Maths-General
chemistry-
Identify A and B
Identify A and B
chemistry-General
Maths-
If
then sin (A-B) =
If
then sin (A-B) =
Maths-General
chemistry-
Observer the following reactions and predict the nature of A and B
![](data:image/png;base64,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)
Observer the following reactions and predict the nature of A and B
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXMAAABcCAYAAACcN1XFAAAgAElEQVR4nO3dZ3hVVfrw4d/pOUlOeu8JkEILoQWEKB0FlCKKYMEBwQFG0REdcVBReEXkLwMMil1HRxBEilKlSTUhEDohoYQESEgvJ+XUvd4PkQwQSmgmhH1fV/jA2WUtwn72Oqs8SyGEEMhkMpnsrqas7wLIZDKZ7NbJwVwmk8kaATmYy2QyWSMgB3OZTCZrBORgLpPJZI2AHMxlMpmsEZCDuUwmkzUCcjCXyWSyRkAO5jKZTNYIyMFcJpPJGgF1fRdA1nhZrVaqqqowm80oFAqcnZ3RarUolY27DWG1WqmsrMRisaBSqdDpdOh0OtRq+XGT3TmN+6mS1auzZ88ybtw4mjVrRqtWrfj5558xGo31Xaw77vDhw0yfPp3IyEi6dOnCggULyM7Oru9iyRo5hZxoS3Y7GY1GTp8+zcqVK1m6dCk6nQ43NzfsdjvZ2dl4e3vz1ltvER0dTWBgYH0X97ax2WwkJSWxYMEC9u7dS1VVFZGRkRQVFVFRUUFERASvv/468fHxaLXa+i6urBGSg7nstklPT2fhwoVs27aN3Nxc3NzcmDhxIu3atcNisbBgwQJ27NiBQqGgS5cuJCQk8OCDD2IwGOq76DetvLyc3Nxctm7dypw5c5AkiYiICBISEhg8eDD5+fls2rSJX375BaPRyJAhQ+jduzeRkZH4+/vXd/FljYgczGW3xGKxkJ+fT25uLvPnz2f79u24urrSu3dvRo4cSXBwME5OTkiSRGFhIYcPH2bmzJmcOHEClUrFv//9byIiIvD09MTd3b2+q1MnkiRRWVlJSUkJx44dY/bs2Zw4cQJXV1f+9re/0bNnT4KCgmqONxqN7Ny5kylTppCbm4vBYODRRx/l+eefx9XVFScnp0Y/jiD7EwiZ7CZIkiRsNpvIysoSjz32mHBxcRFNmjQR8+fPF1lZWcJut1/13LKyMrF69WoxdOhQ4eLiIjp27ChmzZolrFbrNc9rCCRJEhUVFWLNmjViyJAhwsPDQ3h6eooxY8aIoqKia55rMpnEsmXLRIsWLYSHh4cYOHCgWLlypSgrK2vw9ZY1fHLLXHZTzpw5w4YNG5g3bx4ZGRkMGTKEZ555hri4OJycnNBoNFc91263YzabMRqNzJs3j/Xr15Obm8uTTz5Jv379aNu2Lc7Ozn9iberu5MmT/PTTT8ydOxdXV1fuv/9+xo8fT0BAAO7u7qhUqqueK4SgsrKS0tJSfvnlF+bNm0dhYSGRkZHMmzePNm3a/Ik1kTU2cjCX1VllZSXnzp1j165dLF68mLNnz+Ls7MykSZOIi4vD19cXR0fHS84pLi7GarXi4+NzxWsWFhaSmprK9u3bWbRoEVqtlsjISF588UXCw8Px9fX9M6p2XSkpKaxYsYIdO3aQkZFBnz59GDx4MC1atMDLywu9Xn/J8RaLhezsbPz9/dHpdLWul5eXx759+1i9ejU7d+7Ey8uLtm3b8uijj9K2bVu520V2w1RTp06dWt+FkDV8eXl5HDhwgPfee4+VK1dSWVnJ/fffz2uvvUbv3r1xd3ev1RrPyspiy5YtfP3113Tq1AlHR0cUCsUlxzg6OhISEkKTJk2QJIni4mKOHTvGli1bEELg6emJwWC4Zov3TqmqqiIvL4+kpCT+/ve/k5KSgkqlokePHrz55pu0bNnyivWG6oHRuXPnkpWVhSRJGAyGS4K6k5MToaGhdOrUiebNm5OYmEhiYiLr1q1Do9Hg6emJTqe75jccmewS9dnHI2vYbDabKC4uFufPnxfTp08X0dHRIiAgQAwfPlykpKSIsrKyWueYzWZRWFgocnJyxMMPPywiIiJEr169RG5urrDZbNe8n9VqFefPnxc///yzaN26tQgODhadO3cW6enpIj8/X1RUVNypqtaQJEmYTCZRXFwsDh8+LJ588kkRHh4uAgICxPTp00VGRkadrlNQUCBef/11ERISIhISEkRiYqIoKCgQFRUVV/x3OH36tPjwww+Fr6+vcHd3F4MGDRKHDh0SRUVFoqqqSkiSdLurKmtk5GAuu6rCwkIxbtw44e/vLxwcHERcXJw4ePCgKC8vF1ar9YoBZvfu3eKpp54SLi4uQqvVimeffVacO3euzgN8drtdmM1mkZubK2bOnCnUarVwcnISAwYMEN9///3trmItVqtVJCYmir/+9a/Cz89PeHh4iEceeUScPHlSmEym676QLrDb7aKqqkosWrRI9OnTR7i7u4sBAwaIb7/9VhQXF1/xeJPJJPLy8sQXX3whQkNDha+vrxg7dqzYvn27sFgst7uqskZG7jOX1ZKTk8O+ffuYM2cOe/bs4b777mPQoEF0796doKAgtFrtJd0lQghOnTrFnj17mDFjBvn5+TzwwAOMHz+e8PBwfHx8bri7wGazUVJSQmZmJh999BGJiYnYbDYmTZpEp06daNasWa1+6lt1/vx51q1bx/vvv49arSYyMpIXXniB8PDwq/Z9X095eTmZmZnMnDmTw4cPU1JSwrhx4+jdu/cVBzztdjvl5eUcO3aMDz74gLS0NEwmE+3ateP9998nPDz8dlRV1gjJwVxWQ5Iktm7dysKFC0lJSUGSJJ566in69etHcHDwFWeYFBcXs3jxYrZu3Upqair+/v4MGjSIfv364ePjc1MB8PIyFRQUsGXLFjZv3szvv/+Ov78/7du3Z9iwYQQFBeHh4XFL90hNTWXXrl1s376dzZs307p1awYPHsz9999PYGBgrUHdG2U2mykoKCApKYmdO3eyevVqgoKC6NixIwMHDqR169a1XkyVlZVkZ2ezfft2Vq1aRXp6Ou3btyc+Pp6EhARatGhxS2WSNT5yMJdRWlpKQUEBJ0+eZPLkyRiNRlq0aMFzzz3Hgw8+eMXBx7y8PHJyckhNTeWf//wnWq2Wdu3a8corrxAXF3dHynnq1Ck++OADkpOTKS0txc/Pj4kTJ9K5c2cCAgJuaAaIxWLBaDSSnZ3Nyy+/TEZGBiqVimbNmjF//nwCAwNv+7J7SZIoKyvjn//8J0lJSRQVFaHT6fjXv/5FbGwsrq6utV4cFouFwsJCNm3aVDOV0d/fn3fffZdWrVrh6uoqpweQVavHLp47ym6zCYvFLMzmy34sFmG12YUkhBCSJGw2a+1j/jjOLglhs1mvfJ1LfizCarUJu/3uGqSy2WzCZDKJ7777TrRt21Y4ODiIbt26iV9//fWKg5uSJAmr1SqqqqrECy+8IJo2bSq8vLzEhAkTxJ49e0RlZeUdL7PFYhGZmZnio48+EmFhYcLPz08MGDBAFBcX17lP22q1ijNnzog33nhDxMTECIPBIMaMGSMOHDhwx8t/wZkzZ8R3330n9Hq98Pf3F0888YQ4cuRITR2uNB5x6NAh8cILLwgHBwfh6OgoXnrpJZGZmSnMZnOd+/JljVejbZmf2LOBtZt3cLbQdMnfO7n60Pr+gfTtEIZeKiVp+yaWbdp72dlqnAwBPDH+OWxpv7Jh+z6yCyuuei9HxwCiWkTTNr4NkcENY1709VitVlJSUpg8eTIHDx7E2dmZCRMmMGLECNzd3XFwcKjV0i0pKWHjxo1MmTKF8+fP18yLHj58eM1CoTs9P1oIgd1up6KigoKCAmbPns1//vMf3NzceOSRRxgyZAi9evW65jW+//57pk6ditFoJCYmhvfee4+oqKiaFL1/BpvNRlVVFQUFBUybNo0tW7YgSRIPP/wwAwYMoGvXrrW6taxWK0ajkfz8fH766Se++OILVCoVTz31FIMHD6Zly5by/PR7WKMN5iX52eRkpLL+00+YuWorZq0r8b368erEMTT1DyHAyxm1MJOfm8uxvdv5avb/Y1N6MRq3EHoNfYHnH4unaWRTLMXZ5Odnsm31l3w472eKzR48PmEiAx/uhKdSASYTGWl7WL9tO7l5lYR2GchLzzxOgI8Let2fPzf6egoKCjh16hRffvklSUlJeHh40KVLF/r3709UVBQuLi61ulXOnj3L8ePHmTFjBufPnycwMJCnnnqK1q1bExYWVm+JsqxWKzk5ORw9epQFCxZw+PBhXF1dmT59OlFRUYSEhNQMvJaUlLBjxw4WLFhAUVERWq2W0aNH06ZNGyIiIuptxakkSWRkZHD69Gn+7//+j+zsbOx2O1OmTKFjx45ERETUOufC4PBvv/3G/PnzKSwsRKvV0rNnTyZNmnTVBVr1QQjBqSPJnM0txFhlv+QzF68ggoLDiAhwAVMRKYfSyc4ruuwKGnwCgohuGY3BVsTu/cfILyq9yt2UgBZPT3eCw4Lw9vZEdw/lkG+0i4YcnAx4uLkS7FXJF9/8QqnajcdGv8iTvePxdNGjVCpAqcHJ4IKHpxeW00ms3Z2GJqArY196hh5tm+GgVuLo7Iqnlw+urq5s/fELTua7MGjCGAb27ExEYAABQUGERcYQ4aMjbc8mli1exZlyF+LiInF10TeohPFHjhzh66+/Zv78+aSnpxMQEMA777zD4MGDadKkCXq9/pKWnclk4siRI3z11Vd88sknlJaW0rFjR2bMmEF8fDyBgYG3PMB5K1QqFa6uroSFhdGzZ0/UajVFRUUsW7aMtLQ0iouLEUJw4MABli5dyjvvvIPVaqVr165MmTKFLl26EBQUVK91UCgUeHh4EBAQwAMPPIDBYKCiooL//ve/nDhxguLiYrRa7SWpApRKJXq9nrCwMO677z40Gg2ZmZmkpKRgMpkwGo015zQE51J3sidxF4u/+JpPFy7ml43bOW8SOOpcCWwajq9BB+ZSdv2exM51y/n2P1+z8Mfl7EhOxSS0uBg8iIgMQ28pZPP2RFIS1/Hf/3zL90uWs+fweSQ1VBlLyM/P50zaSfbv20TygVSOZxbh4GTA291Q/bw3dvXYxXPnWctE3qHFormTXriFxYm5yxOveFhVaZ7Y+dnfRJCPq4juM06sPZJT65jTqXvEoFZKodc0ER/8tFWUXva5ZC0Ru1bNE1F6ndDqW4hPf9svymwNow/dYrGIrKws0alTJxEQECA6dOggPvvsM5GTk3PF+ctlZWXi7Nmz4vfffxfNmjUTgYGBolu3bmLLli2ipKSkQSeFOnz4sOjXr58IDg4WgYGBIjQ0VAQFBQk/Pz8RGRkpEhMTRWnp5b+9huPCQq2ePXuK4OBgERAQIFq3bi2OHDkiiouLhdlsrnWO2WwWWVlZYubMmaJZs2YiKChIPProow3qd2XOOyEWvjtSqDUOQhXTV+w4dFyYbJeVTbKJ03vXilEdI4RCoRBxfaeK39OyxaVPkV3kpO8Q0x5vJdRavXjgiTni4OkCIQkhJLtNWCrKxOkDm8SoR+4TfgFhosfwt0RWbqmwWBvGv8Od1JAajneUSqFEqbja21mBSqUEbv7trVC74OnXnGaRerAeI2lfDsVG+/VP/BMUFBTw8MMPY7fb+eCDD1i7di3PPvssvr6+V5z//emnnzJw4EC6devGyZMnmTlzJitWrKBr1664uLg06H7Z6OholixZwooVK3j66acxmUzExsaycOFCDhw4QPv27Rt0/vQL3zZWr17N6tWrmTBhAqmpqfTv35+33nrrijsWabVaAgMDefnll/n888+Jj48nOTmZFStWYLFY6qEWtWkNBtx8fXFXqnB398ZF74BOddn/I4UKg6c3rZt5Awpcmgbh5Ki/7KlU4uTkRkCgAQWgUqtRKhUoAIVShUbvTHCL+5n08hi6ekPyuk9454ud5JVU/VlVrTf3TofSHf+WZcduM1FZaUEICYVCgVJx6X9WY85xDh/PpFDlS7+2nvy6eg3nylxo1qoj93cIu2Mls9lsnDhxgri4OGJjY3Fzc6vVL15eXk5KSgqbN2/mq6++wsvLi1deeYVhw4YRGhqKwWBo0EH8ApVKhaOjI1FRUURFRaHRaPDz86Nz5844ODjUd/HqRKFQoNPpiI6OxtfXl969e/POO++wZs0aNm3axKhRo+jatSuxsbE1dVIqlSiVSuLj44mIiKCqqgoPD4+GM21RUV0vBaDRqGs9GxcolWocHKv/byoUilq5fKov9cffK6j9XCsUKFVqAsLj6NwpgJXph0javYGyEW0J9HK6vXVqYO6dYH6HmUrzOHsskYw8CdeweHrEBePioMBmrqLszGl+3biajVu2cSq3iKDuz1F5ysjqn5aTfl5FTKcq4juEcad6boUQWK1WVCoVGo2mViA/efIk06dP59ixY5SXlzNixAh69epFx44dMRgMV3ygGjKFQoFGo6mZXaNWq++aQH4xjUaDj48Pbm5uTJs2jcOHD/P555/zzTffsHLlSl599VXatWtHQEBAzTkODg4EBwfXY6mvTXFRUL/6Qbd+H6VKiaOTC0JIlFcYsdsv/pYswGYmM+MUFqUOd29/KE4j/UwV7j7BBAUFYHBseJMXrueeCeZ2Uzl5OWdJS3Ot9ZmlspTM8yVYrLY6XMlM/plMTqSlceE9bzabyDqwheU/rMUe2IZHh0/kvsgADDoF1ko7+ZknOHY6k+TdezlTYsHusJ7CyDGMG+vPuh1H8Y4JrrdfhN1uZ/HixWzbto2QkBD69u3Lc889d8lOOQ2Z2WympKSE1NRU2rdv32DzoN8KrVZLXFwcMTExdOjQgS+//JKdO3cybtw4nnnmGbp3706zZs0IDQ296168d4ZEUV4G+1IyUKsdiIqOwdHRARCYKyvIPpFGWuph1q1dxnlNOH8dNYwzO75k3n9TaN7lL0x+azTRt7jqtz7cM8HcXJTNF+9NYsXHtR92yW7FVFpAabmJay8MF0A+382awuovXFD98eBYTJWUFBbg5NuMv037F091b4mnS/V/Bq2jM1E9BzC1eztUJ9NYsPEINOnKyKHd0GuUdOp326t6Q8xmM2FhYcyZM4eEhIR6Szd7s4qKipg+fTpLly5l/fr1jXqDBwcHB6Kjo5kxYwaFhYV07dqVuXPn8tlnn9GsWTPWrVuHs7Nzg/79CQHCbsNkMlFZWVnr8yqTGYu1bmNNQoDdasF82bWEqGLbLyvYejQXD4+WjP/bX/DxdAVsFOakMv+td/l+y28UllfQNDqW71UGnhr+NBFrT1FpLsFaaQbkYN5gOXiHMfG92Yx+sPbDbi4v4vDPH/KXaT9c5yoKwJ/n/9+/ebZ/J5wBrFaMxefYvWEFy35YxPSxQ/ix9SDem/kaXdqGob/wL6xUoFSATqcjICgIrepP6MavAwcHB4YMGYLNZsPR0fGu6Be/mM1mo7S0lLKyMmy2unyzuvupVCq8vLzYtWsX+/btY8WKFXz77bf06dOHxYsXExZ258ZfbpVkNVGStpN3pvwDg2PtjkWbqYyMfcfrdC27zULqjv/yzj921VzLZrNRkJXGibMVNO/9HC9P/htdIlxwUFdPcPAJiWXKp5/Tc/H/Y9L7C8E1kN5/GUt8rDetfvwRlUaHw21O4PZnuWeCuVKjxcnggpeXV63PTFpwc3ZAVadApqqem+7lhQuAEHh4e+Hp7UdwRDAFr79D4u4fmTzLi7nTxnJf9KXdFQqFApVS2SACOVQPnN2N/ckXCCGQJAlJkuq7KH8ahUKBSqXC29ubBx54gKioKJ544gn279+Pm5tbfRfvmpQqDU5BzXl29FhC/Gp/D64oOMW6j0+QnFFy/WspVQQ178nIsf0I9TYghMCcf5ZDe35jyS9bOPn7cuZ+oMEyZjT3tQ7C3UWHWqPF4O6Gp6cbDhoVel8/mgb54uCgvaufA7iHgvkdo1CgVGtw8Q4kuk0CQ++PIfHkdlKTfmZLSi/io4NouF96ZXc7nU5HaGgoISEhxMfHN/idiRQqFRoXb6JiWtA8IqDW5yVn1KT61W2xk1Klws03lKgWrWkR7AFCIOyxtO18H61bRTJ35oesW7qA7MxCZv/7n7SPCsJZW91guzC2oFapGs6Mn1t0d32nbtAU6J0MtIoNRalSUmEspyC/iIYx01zW2F2Yzni3dZPdVgoFCrUGvZsPnfo+xthxT+NsK+XA9q/5dO0BCsqt9V3CO+oe/s3ffgqF4n8Pk1aDg5Oeht1OkskaJ6XeE++wVjQJFCixcjL1FIXG2gOujck9E8yrzBYqzVdeDSdJEuUllbfc71pUmMvPq5Ox2WzEdOxPz86tG0zfuEx2b1Gi1ujQaKt7ktUOWtTqht/hWXzmAFs2bmBv5uUJx66vUQdzU2k5eYfTyLVLmMvyOJebTXb5pSlxkayYy0vYt/8oJpOZwsyznMrL4+IvZJbyIorzjnM6H2yShYoyI0ZjJRfmTlQV53I4ZScLP57G8n3niOj4MP987VliQ6oHeISQqCwroMxSRUlFJWdOZlFhAXujzFcpk12dJAmqLFbs4soNJ7tdwmq+9VlJ9soi8s4d5XSeAsklggF92xHg2vAHODMPrGP+h/P5ZW/GDZ97xQFQUZnPvmOnyc/Npri4FItdhZPBC18/Nxw0aoTVQmW5hXJzGa4+gYQEBuPl7YmjpuG8GyylOezZnczuzemEN2+BRYKcY0ls3R1IQmwbgjydQAiKzqazL3k3R86baBoZjdXJStKWnbRxUdOiVXMMVWfZu3cf+zZvRenXiua+BgqOHSZxp44Ab3e0QPmZE/yWuIG9Z2zE93uchx5/kT5twvE06ABBVVEWScm/k+PgQmiTcDSZR9iRlELz2HaEul1nNZxM1giYyiooKyjCJNmpyM+myFhBpdWOo+ai1rJko6Ikn9RjRYCgOCePclMVEq4XtTolyivKyM01IoTAUlWFxWLFJkmoFQqQJAoLznH2yDYW/bCKfIUP8Y88zZC2oXg5awGBEHbKqiqw2mxUVpgwlpSDdz0vNhMSdlMh635Yye8HT5H+3S+8MKAd7hqoa8LH2sFcCITWlWbNgji09SOmz/6JnDI93Qa/xttvDyfcwxl7UT77jy7lvc8XcPKURMKwCbz16hiiAzxQq/684CSEoKKiAkmSUP0xKn1hNF+hdycuoRut7nuA0Redo1SqUGt1CCFQCAlnnwja9wqifa8hFx2lQKlUoVcJbDovWnfoRvO29/PkpKsUpGlT2vbqj/qPJeTqiwahhBDoXPxp3+UJ2nYedslpDo4SQqiQF+3JGjPJZibnyEG2rUpB4eiAc8EBvtmxD09/X5r7ulUHaiEwlxeTnrSD3ecLMRgMnEnbyO607rQI8sRZp0EhJExmI0cSt/PznmKcnZypKMggIyMDH289HioVGMtYu+gDPl28nsw8FZ36j+PTeS8T5PxHwi5hx2TKJenQfoqsVsTRE/y29TBxoe1w0NbfCJdks1Ccto3VR/LJzy1Ec3QFiacn0yNci15TtwBRO5grFNVzQZ186PPg0yRtSuL7RCNeTaMIcXXFzeAITo488MTfWPng43w2dQzfrPwXfz11lPfnLSA+xBGt+s+JTlVVVYwcOZKioiKCg4MZP348nTp1qq6YRodKfeUpRzUJfBQqNDoH1NorZ0VRKBWotNVzU+ui+pqKy/5OiUqtw8mp9jUUCqUcyGWNXkVRNhVuwTwzay5DLVZQKNA7G6ComApPFwxqJdgtZOcV4dn+YeZ81xOrXaBQ63ByciA3pwCHED80dhNZWTl4NO/O/30Rj9UuUGkccNQ7UHzmDKUAQtDigZHM6zUWg6s7Hq5uuDjrUf3RvLXbJYryKugzfBob9r/Ojp27+c/s53n8wQ2EB3jXW95zs8XMptXL0YS3oaW5gozCEpat3Ejn53ug19RtEdOV55krFCgVKvQ6J/R6zR9zqdWolKrqhTVKJSq1Bp3ekaF/GcHO3e+QtD+Jpb/upM0zD6BV396UUUVFRSQmJnLkyBHsdjtpaWmkp6djs9k4evQoZrOZbt26XZJP5GoZ12pX9TrH1fE617nJNdLvymSNm5NnMNEeQVy+p5lCofxf8FRpCQlvQpBUeyCpOiOkAhR6mkQ0RbrO5mgXGlVKZe2010qVhqDwaBxcipAksNvMnDtzihFDB6JWKVGpVPTt2xe9Xk9sbCzt27fH1bV2PqfbSjJjKc9hVWIuT/xlIsZEB2Z/voo1i5fzyjOdcXbRU5fm5HUXDV07u5kSP98WhIR5syUrm+R9h7E92QVuIf9fVlYWx49XL+c1mUxs3ryZ4uJiUlJSSE9PR5IkbDYbdrsdlUpFQEAAQUFBvPbaa/j7+9/0fWUy2Z2hVKmvP9NCoUClUnPNtDIKBSq1+pYW4SkUClRqDV5eXrz22mtER0ezZs0adiclVpdVqSQxMbEmD05sbCwGgwGNRkOfPn0AaN68+W2NNebyUjJ2/MgZx1g6tWqNWZXFj0s3kHJkIyuSzzG2hzNejtcP57e8AtQu2bBaBSiqW+s3knGkuLiY4uJiADIyqkdvV61axSeffAJU51m41lJtpVJJnz59ePbZZ/Hz8yMzM/Om6uDg4HBJGlGZTHbzKioqMBqNV0yk1ZA0b94cg8FAaWkpS5YsAaiJN1arleTkZJKTk4HqWDNv3jwAJk+eTJcuXQBwc3PD3d0dR0dHDAYDTk43mjNdUFpwno2/JNPxodfx8vZC26ojQ9qGsG/lftau2EL/VgF4hXpe90q3HMzPHN5KWno2zq4+9O7e9YaWE8+fP58PP/ywZiBTCFHzUxc2m40lS5awdOnSmy0+AOHh4aSkpMjpQ2Wy2yA1NZWJEydy5MiR+i7KdV3I7XM9kiRhMlVPa546dWpN96xGo0Gr1dKqVSvmzJlD+/btb7AEVs6fy2TzXjtT/9USD1dHdPpw+j33OHOWp7B763LSn+5G7G0L5pIExnL4Y26o3W6n4Hw22374lC+++YYsQySPDJvA6F4x6LV1u+SBAwdYuXIlRqPxj1vc+IIdIQTl5eW3HITT0tKIjo6+pWvcrKZNmzJr1iyaN29eL/eXyW63mTNncvDgwQbfMr+gro3Hi4+/cI4kSZjNZsrLy0lLS7vhYF6Zn8Xp/Ztx6f8YzXRatApQaFxxjUigU7R99GwAABAqSURBVKwr608cZNOeY3SKjSHY7doN5bpFXoWCjLTdLP2pCi83R2xV5eRmpLFq2WL2ZhQSO2g4nWOC8XJzqPMqJC8vL55//nl27dqF3W7n+PHjpKamUlpaWscrQEJCAhMmTLgtGxLcauv+ZvXt27fB7KIuk90OkydP5tlnn63vYtRZYWEhM2fO5OjRo3U+x9PTk5iYGJo2bQrAQw89REJCwg3fO+fEbn78ZTfKKFd+/P57tBoVICgvLUKlccFalcXWDVsZ3LsTwW4h17xWnYN5WNvuDBnyAF5ueuyVRvJPH8XgrMFz2SJ2bvuJT3LzcHZyZkBCDI5azXV7zgMDA3nuuecYPXo0VquVlJQUNm3aRGFhIUlJSTXbPGVmZpKbm3vFa+zdu5djx47xyCOPEBERcUujzg899NBNn3sr6jrrRia7W7Rt27a+i1AnxcXF5OXlkZiYSGpq6lWPCwwMJDAwEABnZ2dat26Nr68vffv2pXXr1jXP8A0/xxYj+5OPkKPxo6XGSNqxi18mgsB2XQg6lkvB4U2s2z6AhBYhXGs3uzr3mSuUippNY5XOrgS07Myolp3p17czr098le+3L2dstpH16z4nLtADXR3ma174B9DpdHTu3JnOnTtXV+Oirz1Tpkzhxx9/BKrfoFDdV35hp5KpU6eyYsUKZs2aRUJCAjrdzc2kuaezzclk9xAhBGazmR07djB58mSOHj1aE3McHR1r8pp7elb3U0+YMIEXX3yx5vzb1fgyFxznwDkTPUb/kzeGXP4CtGM1F+CUmcznv2Wzb/MGsp7sTZSb+qoN5VuOYN6R99GrRxf8NRVYz2zl240nKDJeOaFVXV38pnvjjTdITEy85GfhwoXExsbWHHP06FEmT55MUlLSrVZHJpM1cjabjV9//ZXJkyfXTIO+EEv+8Y9/1Io3Y8eOvfnW9zUkr/+eIm0gfTo0u8KnKpQqN/oPG0yQp56szFT2pmUjrjAP/4Jbns2i0jgTGByAq4uWvBIrhdl5mKw2bmWu+cWcnJxqpvt4eFQnrvL19WXRokUUFhZiNBo5dOgQ4eHhxMTE3JZ7ymSyxkulUhEfH88bb7xBXl4eHTp0qJmFFxoaiq+v750tgGSFqmxWbkolpGcPIr2vvN+oUqmm+X39iYlYy9pDR/nPwo0MaDcSg1J1xVb4bdhpyIq5yozZpESp1OMb6I1jHWe03CwXFxdcXFxo0qQJAD179ryj95PJZI2HUqnE19eXESNG/On3FnYrFcXn2bVsPit25/FCfz2SuFqOJoHG1RE/FwMVZSfYs2IuX/eKZvj9rfByca7ZUP6Ca3az2CUJ6UKzXtT88b9bCUFx3ml2J+6ntFKDV2Q3RvSMwcXp9i7nv1OEEFjNlZQW5XPqXB5mS+PeiUQmk9UvW0UR+3Zs4JvvVuGkkTiSsptdh1Kpsl4+NVtgKjlH8p4kzmkcCIsIws9VwZJvP+e35D0Um2rvYXaVJrRAkgSVxjyKi8wA2G02bHY7dkmq7oCXJCxWE2vmvcp/1mxHE9acF999m1Y+Tugbfg54EBI2i4X8k/v5edHnvLfHmW1fvkVYgHd9l0wmkzVSGhdfEgaNImHQqOscqUDvEUq3h8bT7aHxdbp27WBuKcd4ahfPT/2Mc+lHOJaVj90ssfk/b/HkNm8cdFoUgFKSQGFFFRjEuPfn0Lldd6LDA9FrGn4kl+xWso+vYeFXy1m36nfSyipQtRxc38WSyWSym1Y7mKu0aP1bMX7Ci9fsdlAoFGi1Wlx8fPDz88PTxeWu2YVeoVTi5tuaQU95oLKZOfLp2rum7DKZTHYlVwzmOld/uiY03gyECoUKZ/dwIt29aR3XEjfdWqrqu1D1RJIkysrKMJlM+Pn51Xdxbtglm2jLZPewOzvtpMFTo9Fq0en5XzAXAsEfC5cuz0MuRK1cyhfPPb04Z8OFnMoNfW2nJEn88MMPmM1mRowYgaurKxqN5q5ZlarRaIiOjsbb2xuttm6biMhkjZHcpLmMZLdjNlVRXl5OZZUFu716lFkICbvNTEVFOUajEaPRSHlFBVUWO5IkEJIdq8VU85nJYsV+jQn+DYVarcZkMvHWW28RFxfHqVOnsFrvnlk9Pj4+TJo0iZSUFHmdgeyedo+3zC8mKD+fxnc/bmTJLzsoMpYhad0ZOW4yg/t2xN9TT1XRWX749FNWbEmkDC+69BrG2GcfJDzADQVKik4mseanJaw5oeOZv47j4U6R9V2pOhk+fDgmk4kZM2YwePBgYmJi6NOnD6NHj76hlMb1QalU4uDgULMEWya7V8ktc0DYLJgKjrNv21Ysfu0Z87e/8lTftuQc/o3PF3zJ3tP5gAJHrzD6PNwXB2spWSdzcAgPJTzAtXqyv0KB1sUfJ3MhPq16ENfUr8Ht73lhs4/L+fr6MmbMGL799ltatWrFkSNH+Ne//sWiRYvYv38/paWlN5WiuD4JIa5aX5msMZJb5oCQbJgKclHEDubR+Cg8HKE0oT0HNi3hl5xDHEw7Tb92oShVKkLjOjD4/jacWLKfYyeyMQvQKkCJREW5kZTTGobN6ImH25WX6NYHtVqNr68vlZWVJCYm4uTkhL+/P2q1uqZv3NPTk4EDBzJw4EAWLVrEsmXLmDJlCjExMXTv3p2hQ4fi5eWFm5tbPdfm2ux2O0ajkczMTDZs2IBOp8PFxaW+iyWT3XFyyxxQah1xi06ga5Q3Ho4qqpPcOBMUGojdZKKgoIjq1GEKwJX4Pt2IMNjZ+c33pJkkrAKQTBSU5nLKrTkdvBQ4NaDeCYPBwNSpU1Gr1YwfP57HH3+c48ePYzabr9hyHT58OHPmzGHIkCEcO3aMt99+mwEDBrBp0yasVusNJ/P/s0iSRH5+PmvWrCEuLo4lS5bQokULRo263gINmezuJwfzmxDS4j66d4/BVLGPJT8foLzcTHluJlkHdtChZ1+UqgYUyalOVvbYY4+xYsUKRo4cSUZGBn379iUhIYFdu3ZdccDTx8eHt99+mw0bNvDZZ5/h6OjIyy+/TJ8+fTh9+jRms7keanJlQgiqqqpITEzk6aefZtKkSQQFBbF69Wo++eQTwsLC6ruIMtkdJ3ez3ASdWxAt2nfAf/l2Nq/bwNju4RSfzeBompru/ZqhVjesJUhKpRKDwYDBYGDy5MkMGTKEzZs38+233/LCCy8wcuRIevbsSWRkJFqttmZvQ3d3d9zd3XFzc6NNmzZ8/PHHLFu2jGHDhpGQkECPHj3o3bt3vU0JtNls5OXlsW3bNn777Td27txJVFQUL774Ij169KB169bywKjsniEH85uhcaZJ8zjiwzz4YeMqDhUMgiMnKA5oQ8ughr0SNjQ0lNDQUBISEoiLi+Pjjz/m888/Z82aNQwZMoT777+foKCgS/qZfXx88PHx4c033yQ+Pp7vvvuOJUuWsH37dpycnAgODsbPzw+9Xv+nLeA5c+YM586dY+7cuaSlpVFeXo6vry+vv/76TWyqK5Pd/eRulpvkHdSEof07Ys3ZyU/Ld7A71UiLFlE4Q4NfKASg1+sZNmwYn376Kf379+f48eNMnjyZsWPHkpSURHFxMTab7ZJzgoKCGDVqFFu2bOHFF19Eq9Xy5JNPMmXKFFatWkVeXh5VVXduLa0kSVRVVZGTk8PHH3/Mk08+yZYtWwgLC+PNN9/k559/lgO57J4lB/Ob5OjhT4tBjxOnU/Dr3FmcUDsT3yaivot1w5o1a8a7777Lzp07+fvf/05ubi6PPfYYY8aM4fz581cd7Jw4cSJffvkl8fHxbNq0ieeee45+/fqxd+/eO1bW8vJy9uzZQ2RkJJ999hmhoaGsXr2a//73vzzxxBMNfqaNTHYn3dPBXLJXUmEsw2gU2C1W7HaBqF7Lj7DbsVrsSBUVVJQYqbBdtoxf6YCzS0sGDW6PwllDk7Cm+Hvcff2zKpUKBwcHvL29GTduHMuXL6dbt24kJyfTp08fhg4dyrFjx2oNkmq1WkJCQvjoo49YsmQJr776KpIkMWHCBEaPHs3Zs2exWG5t+0CoHtysrKxk2rRpDB48mFGjRuHs7Mzs2bP55ptviIqKwtHR8a5KQSCT3QmqqVOnTq3vQvzZhJAwFWexe/dWflr+M+mZJdjNClw8vTE4azEZ8/h9/S+s/nkbhRawKsDf2w2twReDgxqVUgEoUAiBQVHI3lwDjz8+hOYhHnft21GlUuHo6IiPjw+xsbFERUVRWlrKb7/9RmJiIm5ubmi1WhwdHVGpVDWDpAaDgdDQUJo2bUqXLl04cOAAO3bsYMeOHbi7u2MwGHBwcEClurGRBJvNRmFhIXv27GHFihV88803CCG47777ePPNN+nVqxc+Pj5yPhaZ7A8K0VAnDd9BQrJTnnOEdVt2k5FddNEnetp16YiXo40dG3ZSyf/2VnLx9KNdz4G0DjKgU1eHbGEzYc4/zrZ0JdHNQwjxNvzZVbmjSkpK+Prrr/nss89QKBS0a9eOJ554gpYtW+Lj44Ner691ztGjR1mxYgWLFy9Go9HQoUMHXnjhBSIjI2teAtdTUFBAbm4uX331FYmJiZw7d45HHnmERx55hF69et2Jqspkd717MpjLbszBgweZNWsWa9euxWQykZCQwAcffEBUVBRqtfqqM1hGjhzJypUriYmJYdmyZfj6+l71WCEEkiRhtVr5+uuvmTVrFnl5eURHR/P444/zl7/8BW9veRcomexq5GAuuy6TyURFRQUZGRl8+eWX/PrrryiVSoYMGcJLL72Ev/+Vc98XFhZy6NAh1q5dy7Rp067ZJVJeXs7x48d55plnKCkpITg4mClTphAbG4uLiwt6vR61Wp5JK5NdjRzMZXVmMpkoKCggPT2dt99+m/Pnz+Pu7k5CQgITJ07E39+/VpZFo9GIzWbD3d39itesrKxk2bJlbNy4kX379lFYWMioUaMYPnw4fn5+Vz1PJpNdSg7mspuyd+9e1q9fz6pVq0hPT6dHjx5MnDiRkJAQfHx80Ol0Vz3XZrNRXl7OuXPnSEtL491336WiooKmTZsyfvx4OnXqJHepyGQ3SA7mslty/vx5Zs+ezcKFCzEYDPTr148RI0YQGhpas2vRBXa7ncrKSoqKili2bBnr16/n0KFDdOrUiUcffZQRI0bUY01ksrubHMxlt0QIgdlsJikpiRkzZpCcnIwQgv79+/P+++8TGBgI/C+j4aZNm5g2bRpnzpzB19eX/v3788orrxAYGCj3ictkt0AO5rLbwmg0UlxcTEpKCt999x0HDx4kKCiIoUOH8uCDD1JVVcVLL73E6dOn8fT0ZPTo0XTo0KEmD8y1umVkMtn1ycFcdltVVFSQk5NDYmIiH3zwAXa7HTc3N4QQaLVa2rRpw9NPP01wcDA+Pj71XVyZrNGQg7nsjvn1119ZunQpycnJ6HQ6Zs+eTcuWLeWdf2SyO0AO5jKZTNYI3K2pRGQymUx2ETmYy2QyWSMgB3OZTCZrBORgLpPJZI2AHMxlMpmsEZCDuUwmkzUCcjCXyWSyRuD/A3Y3YUMsbNUJAAAAAElFTkSuQmCC)
chemistry-General
chemistry-
on ozonolysis gives
on ozonolysis gives
chemistry-General
chemistry-
Which of the following reactions will yield 2, 2-dibromopropane?
Which of the following reactions will yield 2, 2-dibromopropane?
chemistry-General
Maths-
If
then
is equal to
If
then
is equal to
Maths-General
Maths-
If
where
being an acute angle then
is equal to
If
where
being an acute angle then
is equal to
Maths-General