Chemistry-
General
Easy
Question
Which of the following sequences would yield -nitro chlorobenzene (Z) from benzene?
- Benzene
![not stretchy ⟶ with Cl subscript 2 divided by FeCl subscript 3 on top left parenthesis straight X right parenthesis stack not stretchy ⟶ with HNO subscript 3 on top with straight H subscript 2 SO subscript 4 below left parenthesis straight Z right parenthesis](data:image/png;base64,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)
- Benzene
![straight H subscript 2 SO subscript 4 divided by HNO subscript 3](data:image/png;base64,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)
![text Benzene end text not stretchy ⟶ with straight H subscript 2 SO subscript 4 divided by HNO subscript 3 on top left parenthesis straight X right parenthesis not stretchy ⟶ with FeCl subscript 3 divided by Cl subscript 2 on top left parenthesis straight Z right parenthesis](data:image/png;base64,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)
All of these above will produce (Z)
All of these above will produce (Z)
The correct answer is: ![text Benzene end text not stretchy ⟶ with straight H subscript 2 SO subscript 4 divided by HNO subscript 3 on top left parenthesis straight X right parenthesis not stretchy ⟶ with FeCl subscript 3 divided by Cl subscript 2 on top left parenthesis straight Z right parenthesis](data:image/png;base64,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)
Related Questions to study
Chemistry-
For the preparation of chloroethane
For the preparation of chloroethane
Chemistry-General
Chemistry-
Which of the following statements is wrong about the reaction?
Which of the following statements is wrong about the reaction?
Chemistry-General
Chemistry-
In the following reaction, the final product can be prepared by two paths (I) and (II).
Which of the following statements is correct?
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8uXmX8fv2/CPejUf0gHP70lZW+6F7MSbt3y0zhQ/pvw3/rZX5G1eroPPNxV6aDr4yQ5UhyDbrsEBiD4dfxlr+XfhkdOMZZtynhXSp+PuSOq9pKcXBIXK1+ZluxBWntpL6xJNmBZ3qdF/ESter7Clqi42ADJQFGnFDkOlSV8uOmlER+TTM1/6n9kP2VRN/0/ICJaanapXwlui9ppsOOGbCFn7G1RA1U8oBqG3A3XoqOIZHM2eyOjY2bFw5dwnTrzbCa0r5kw0wz5f7l6VKG/znndGgLcte26gsfZg+Zp+uT7CSSrO0iQTMnz5p04XKw4fb6Cp1sRl1UPRSVu0K0hP+Gpq6lWwBo+QPJUkjsKz9mY9ocTNllkYehUzOduB0Dk2pLfGLaaXIxfIV5hAzujXASfLWRtIaWr+af16MxXolaBm+BFS409TsTFAUC2+xKjf7mPsV+XUtf08xvoFp+48M3IGC4tKzqtQf0INBbs3jdwqR6SjZMiEMS3TKr9e6BUUpW98opjsxFPPype3ZXN7b455f6pLxh8Fw5uZsxQH58vTEPau959Z6t/uaZYz8z71/+pGYaICbrSuAV1DkiGv1NEhyRrE1Jz6olpuJqIkFAiZkH2NlcDXvEaHiml5V4XrVMp9o21su5w4iwxqbr1kgpgbIbg7fY2jOGUSuHijJqlwZ4NRYEBhesM3S5flgzDaCE1+5ThWpVCdvrgvIS7J5+qlszoUWm6ncCsQfZ6pgssVt+AlQWvCiyuvOXV52bCauvPFmtTzMkEG5WslT/qa2CuTZ4dBHN1EB0fXGf19uYb8dplVuSn7P7mYtw7T7dt2buses5lLMxZYXav91Fqp2gpxIeZFqaoR2lTD51W9V+02VwXeex2I/ppiJpZAxS2YKaDf92FoPyd18stSpUQUtfms/Brv141xwKRLj3ESbgQUek+uS1w7S4avd2CxJEuD/7U6Z1M1f7NY00czu1x8waJxZBbyJhMlB7bfQTVTQ0AsTgWMfVtzlx8o6RPTB4LQP4bfIjKl/g902WkrFx2p9HJfDSFhB6mO0sJZ3zm3n/lmi1b7Slmx+26e6NzJRuUuIwUOEq2YzIdFK4UXTvc8OgD3jlGcZmMRYiwHiLrYY2+KF3n4PpfXpHlF4VjfzfvKE7picSczVvcLRRkPoNTxhp7rT985SxIlvV0yRvk/cIOOEWY/9259nUNXvfhnd1PqePwP0g4C7F623/c8psdRNXGVbwMhkFT6c++5uZp0syDL7uvw8w6nuHZnrnvMPLgsXlZGECrGvs9L7aMb724C7kxw7BTVzldYHD62me5zQMPSVY27/M81CloPK8cA9VT2LjM8nH/tblzebHdLOT3+c3+5m0LqgJaY9WnroNNZELSLHi3rr5d6Q5bc1eE9rI36YWb92Sh85++jqJce6rm7/Sb/Yw29KCCPd1jEo7B7e45ANTE/NZ/eZUJu4Rmwd0UZZk1c2pfEE3f5zGqPsdeGmtG/3dzPebP89fqs8709VtWbHQ3Y7t2FVS3N/M72/2XsBU4jBNGBSsHnvLWaFS1wGBfezy3DIwhIXAyCRV/t0QWxVQR81lQYSxYle08srfE5oijJGdWo8REr4dnQyPyBfIf1MFlSbnMPly7uEeGKJkQzwxfLzCryBHNiFpgpszhZ5qjwLbbd/3hgq8dwnVW2FIhApKSIDVWHDo4wSeKNTKN2L3K5Gl07wESE8AMOQ6CUvK8XVz98NDvklyX6LmlFOI9htCwsWSynyP2BYjExunSoPrqnTjmV3koKdRj0aam1lJZibAzPEDpVDpdEU0Y5HdjwP1oJcv0ixV0iRByd1iV/XV1ZR7zsK3+7ZHWs2akxBUs5IVGEBar2Qt5caRdmvo0rqZoJgfeKrsVPHNLaz/mhwxPUjLykIJMEVHKbCspAk15gQikvftHYChsFdKslV9hpgltXNI0IuzNQuOY9Te8PttGBIykr6SJp8+sXcXcpRzNUV5THYgOYYCtagwdV5QCRWTqtUH0DTNS+9Gc0vP5ZqKoqgdgdrWIZGMokhGy/tNJULC4S1O3z5J598C0syhTigmSg+lWlSwwUdQB2iPkVBVF8zcAL48zZN8LtdnkQT1GvcEqnpbxbSL66YWoQshtcnF/nsBaaq56iIDn0Cty5FbqDQVa7jFZ+6wy1LnO0GqkyNoGZI6cQK0vnOdVkOFKNZv/oOY1kqT/wHdTJw0czIQqJKmNqpS1rOzsnT2d5emE0PRFG9QqiqmJar/14ppq4wKy8e0oYrvSyjE79fNBOKcDwklhdJulaWlWOmmlWYKz97d81NfJJSEsZIZkX7xQlwWqQiIYslUf/NV1XKtmwtb2gSJCL5ed2qa7/frposjkKLSzQQxAlFQBtL8IER1yxMniZZaf/x1zltfDa5pg6vWqkXCT7VWnlM1yoH0Uv56LGhh3TwXBWd8r9r0ZXPj70THiJnyP0o3waZhPxMcpAn95OhVKcP0lLz/krAogqocNOGsCn/0E8bcJjZaaxxt+WxQtfkiVKsE9C9nXwRqUIXsioKZOgs7tgGu/AUOykjlC2Q5WPkFFCgr+BdStTwJ9I/Z8AJiCpNReOWW2PQ8/xBkcGP9cxPbDRorj0BcHRC/8gCo8cOVR+Ggjx1deQys31wji4fgsPrNB2L1m49E/MsXkqzMwRylv/IYxCamXaOgh2D1m4/EGtM+Eus47SNx8FeX+TiU7/ZiFeoDwFe/+UC8rX7zgYjxamIfh7W/+Ugc7DjtqqGPwNrffCTWtQePRFz1N1d+OaStdqThG+tn1jV7v468CFgje5QhLNv5/vOC7lhQeDljLNhXyTxrv7mGQb+FMEYR46JxRiXZOyRtHVaac7phCMWeOmYtIcweDrSO0/4+9Fb6fWOXZ1A6DmueORzqHCw6kTnVx9rYc9OUbuYns6Pw41Q0jwOloMM5obTg5gSQoijMHvCVf4vZrusrH7jRNY/LDUgzvPhHcyzaQUnzrDfmk0hbZuU3w0JoNfYOuCFNJuOA8aygLNNpF0gg0nsn/3gOiH9QIj06G1amZUhKJEpa4I9ka9WVmlQnVje1iqlTt6uxIIb0ASKkkTe0MBmNClByis319WGJK/8GrZvq9OYA0Y0onQ1OQUSfOxLaA5wCLS2jmzZpdKETHhz0OG0SI50ewpxKp/QTtBt+AwyU+WTOdlUHB6/8e1xfxpkMoO5BKOkRjC7IovBfHCcy7lGL0eqmPQI/0GN6JqZlHlPWlLKNQ+K4BB9bVKeQg3w9RrFqDV1nIq8sD+im9pfgNlmhth4rzWJKoWyOGnuOS9PSJjprmBkLYrkTo0TrJo8IwQfnrXECoFc4HoJ/GOu/W/nXuFUKmjDlNBYOUdJUulmlt6+kuYVf1tIG7zrK1WNBDDo0ElHlN4sCLkunbKQK9XbwMCqcw2ppfwTyaaOdEiztQWwaummkyUyGJG1wrW7q82PtWFCQgHfEMmRwhxYxlqCqF0VU0nRKlPNVN3+CDRhCc5ZLJjb6BHOcEVfZzrOvohvQR61qRB3USuyZviUIXElT/QbdhO7mpzrZINkyZxu18n54/wu/iMDZ3zlA5S+TpPJoDqmjMg7ZMXH2MkgymSVv0p7AlcENKaXMApZJqQaCzEl6/6NjWqZDHoYgElZ5t9Uph5lJHUfgVaEW7BmbR1buT35UFrWBOkkU0LpJS3OWNthpgjMa4ohCu4gC6uYFdQg7ajF+XB3MvHI/du1T20N7HGjsQ6ekyErT0wQFDssd3em+SHDgxR4e3peZGTc4rbr5a2DVtIki5FYyg/Ob087+XbkHtDFbUp+Itq7ZeyTq+c2VPw+x47QrDwCRxUE0T5Fd+cuU6mgblc535QEIEfLVkMHKQxAj1JgsWfnbhK9Lp4xfuSPqBI+VR4GuAe3KyvMRfqxp3x6FJIvEugT3QWB+zFmQiTXK+hcUP3skTIJzvcCer+JcnlwiVP5gvW7U8rKsBN/pr1HzwtASHfNEYLvg4AegES+3GGfxy7o2bFkoR0KPrHP8rtZYjkCCBWwyiXfFSUjOQrNosJfkZx3An4dF2CziArnGyCzV64cUYJMXqGGemo1L+gjxXsBooK3dI7EyTi79pn31skH3GcYYl+Fb48T7r5KIncNZvdi+E5djzHLx+XMO4G8DbV9eRSGJQIee2ktKJPTyr7LaU/QNSpydWB6X/aY9kJ8H9SwTPh93AE7+5DaZcN84zBab4hV3uE9aCCwT8zjJPifEv3kccxA+3MTqyFNLXnCzBzvMfBT123WIskv7V65y7MMrWsgH/Dez0PtJCQTubvM09q/dpwdGr7GkhEg8HoqSBEkPbhjKwup9yFuWvCSZWXnvhL29E/DgUUP/wxJlAz0Zl8nPiPEnPkV1f2n7t4Qt90mSDONTayW7K6IJY6xCb03biLqWN8dI3RA5HMmSAmO1VanBh0R97jOMBdItTe2seUpCiF4HGrt2n7b2KAS90c3Zz9QfP2yeCD3VvVG7kQyJOi4c+EBXwmqxF35821YY/uwwJSQHZ17JOV4gPPt7EI47HGYb0A8IO8HrYdS5zTZ8PdqrXlwjTVpLcyM/Tb27n2bDaBf5sSesBvd57QBIcUTy4uRJZvI3PBWB8Kse5hBu7Iutj/u2l3iokYComyjiJ/i6+DNp8iuAqe3L30fjgYZ25T7htThrR9dPKE4kewR0TQj9PXvZQTK2ZoiIklDqhpd/Iu1YAURR5uIKZRAGI9Pk4j5Vf+lwLTsixh3Ag+EP9NjbmC25fbARcW4afnPDM5Bp5pvqJ7jT0oKsDmPB1c7HBYFAWfqCdbyWiGhiU30UPqdLc3gxrcp2MIBKd6FvQI459SIP5G+ioNzetlB2dIKdJDE6cuz39VhCu138aXi1OS3GUXkShhjp4kVGd5Vugv1Tuz4z4ziP2w57mHaJuIszmNt+sYM4n8rYzrC0Ywvdh7p4lCEZEnWTeaCOqZIVScvES7LO8bxsslLxwZ1rH8+1BniGbg76TUXZ38ULYx4XrhMeYs5dCFrMKoM9L3h3CyhHuzwVhW8vuhkNzx4KlYliGqO6CV08G9iMk4687VK6qcKzQX/+WFS5oMYZ85sAdDYmivM0Is3punkayzZfDI41PRaLxbQaIuyQwBAk3VeJMXpJF9PNpxqyneE3J0hTjcCPd/GKt2aWjJqwodcL6uYziXPBmFbzjT5BiqvsJ0v6TcXTjPEtrJuO4/lpPZm8ga5l9TMAvF49H2YIV31HlWp1GhN0E8TZylv/uLwurJtqbOfNiDOXx+wI3+ZLbuVRZvADX3AD96pveFY/lGYIMBHokn4TIFI8xRjf4rp5me0MU5BTJcxMc7kxV/q3eRZ+UozQq5Hmon4TIGLq7MKfxgyfTmGiNEP81ZkLEoOltXW+rN8EQvwMY3wz+psTo6AvT0Pt/bheobK0bqq8nMcJ613+OEuOBQEvX9ZM0M2GLVzYbyqi5pkvD8qyukm/IcwWaf/qkitO/iSVI8dn2LK0aEwbqqz/i5BOc9LANN0kR/wMe32XjGnpcks3yuPUnH6T/OYme47NhAv6za9Hs7csG9OS9El2hi7nN0EzlwsaF41pN88izDlzKMOz1SG+Tgf/HZaMaUn5NBnlpuvmcJhJI3OMykIsqJukfJ4N+OJ6k0cPhCOUffRWXDhlYnMGy+nmJm0cvvPokBgPbLWrCTAWMvuMdt09cCIbp08twWIxLZjZp9qP7WWjS1fVqvLzW+nkb0h0rXekk3aJzWF6THt6tRedkPTpNhfl9R6wTmj5qfaQ6ZiWcuFn6uSTJiRaWDPB0qLO5Qm3QNlvytPgKbNdF6I3Awk5vJrdWDamJeyIZKuql9dM+J/jOTQUeYYwztCxR/Sb8ol8ZoPujfJQH0y82qq69De90q8XCTiOG/2TmeCX0j+OiILGvvAgCgpb5WnwtFty9Rbqm9rLJXqr9K45ekAPApWmphbumjRo7AHrQu0hYyoKgmuXR1V5LoBmPuOGXMvNBvRz2oyP2mNBemNW4Truv1yjscM92RiAJDL5Uk7mlBaSmPI0eF7N1PxXiM+LB6rTelluRvbyFPtc/ivN1JDY7+4/gcO0adwu/c2wFP7lLHvomjyxZmrUBnS704sJVLT6fDfSBOXlePFo9opQpf2z1zUqRqp6kc3+Ji0gJrL5Z+InzkpSE2a+sq5J1ErrpegcpyV9hnA5btwn4ej9IqmrsaBA4ojBy8tVmJr8iN5KlN4oxIR9KP+IXSuZURChpjO9GQvyINI9rMKsYW2HaemwtD8FuE8RGAOqspS0NLVjnJae8NTNvM9Ap/28ozTBAUB4DdaCljdpMDvHad2RnurKXaWp8429cf8269/YHMpKJ3eWpkrghdoHamtG5zdXuri7NJ1z1xKCVTe/xP2l2cmqm19i+hLXH2XVzS8Rj+YkuQurbn4J+o/H8L7IqptfYUNsL5TYYXb3d+jEqpvzoVwgFLGNnpzW1UfR5JW4/xT+aS9WphIKnydBicB1Eql+/x5pkmdZ+bwYxM5iqsSIRGI9C/xbpKlyYFSQpvW315tqnJKQ1gTf85JUi6VOgbORxVZNav4OaSaZlJlNvZaXUh6rxOG7VIqtzlhDMjNrTacsG3sG4saRUCRiVNlaik72kftBYiQLniGdRvOABC9ik+HazZDkuxKp5IzUTo7lz72w5ELZ2DBEZOEUUEHuL9BNmxK3UEXZmfKYBSRvRnJULcF3bfLxcJ3yNGSNDUWgm44jsUvuL01aJVThO4fganBDHC+Co6iAVxlLG/5d3bwstVuCAts+JvXM2adga3+BbibocspOXm8EKzCBb3unlKCbJ6pI/q5uLptit27r0O61birjdn+/WaDL8NTlGuQa17aEI9BaHIlISPF3dXPhEXKznYMckIpptU5m6P66uWtJs9LTPYbgttLNAhFXlEEQsID/3dUlC+dLpkcky1IoARJzSAnF99fNpJImoXBdORdwC4WoupZgaQk2Onn+u7p5iUEXIsmE0H25TWmaeFAtvL0fLrYO5QR+vY6CpGxGQXyNaf8Kdm9Crvq/VQ8lViMdNm0F9FBchwrT/Ly/q5vPAclQxlmGtJuMseAsFjolKjyx5azEGITq+iYXwKqbv55CSlHt3szLSNQjeyxTI3uqY+Xak4xeRNWHWfm1tNb+Nnc41U9Uo+3V7crKysrKysrKykpNvviI08rd2GRryP8jOM7/A+rA3C4t8yTAAAAAAElFTkSuQmCC)
In the following reaction, the final product can be prepared by two paths (I) and (II).
Which of the following statements is correct?
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)
Chemistry-General
Chemistry-
The final product (X) in the following reaction is:
![](data:image/png;base64,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)
The final product (X) in the following reaction is:
![](data:image/png;base64,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)
Chemistry-General
Chemistry-
Ethylmercaptan is prepared by the reaction of the following, followed by hydrolysis
Ethylmercaptan is prepared by the reaction of the following, followed by hydrolysis
Chemistry-General
Maths-
Two adjacent sides of a parallelogram
are given by
and
. The side
is rotated by an acute angle
in the plane of parallelogram so that
becomes AD’. If
makes a right angle with the side AB then the cosine of angle
is given by
Two adjacent sides of a parallelogram
are given by
and
. The side
is rotated by an acute angle
in the plane of parallelogram so that
becomes AD’. If
makes a right angle with the side AB then the cosine of angle
is given by
Maths-General
Maths-
If
then ![stack b with ‾ on top equals](data:image/png;base64,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)
If
then ![stack b with ‾ on top equals](data:image/png;base64,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)
Maths-General
Maths-
If
are non coplanar vectors then the roots of equation ![open square brackets table attributes columnalign left left left columnspacing 1em end attributes row cell left square bracket b with not stretchy bar on top cross times c with not stretchy bar on top c with not stretchy bar on top cross times a with not stretchy bar on top a with not stretchy bar on top cross times b with not stretchy bar on top end cell end table close square brackets x squared](data:image/png;base64,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)
![Error converting from MathML to accessible text.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALYAAAAjCAYAAAA5W/D0AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAApFJREFUeNrtnDEoRlEUx28GmZRk0LdJBunLIkmymSQpSZKkDJLBbpBdVskki0ySxSRJSjIYpL7BIMlmkL7Uc27vKF7k3XvPd+97z/9f/3p6Oufde37vfufd76GUvaKEIUhaQRgDzJBvyAE2BLABNgSwATYEsCEIYEMQwIYANsCGADbAhgB2DifG1CFiQgAbAtgAGwLYqQIBbAhgQ16fFXzE8P388Xm+gXxOLiXOt5Av+TzAhnK5YneRjxLnD8lDWLGhvLcii+QFPp4h70h9PAFsKHSPvUceJFfIzeixoaKAPUCukufx8Fib68ZN7r9udeRT8hT31wAbYBeibqvkWT6eJm8UEeyoIGBH/3hxMMnZw/31V60z4F4HN0K+4H7ojtwfGOwy+YSv55G8LJBfIqbJOPo53xv53rKotjFMwZao/9d97GNy0w+/o7cA+3zCtEvu5GP98XETGOwz8jD3aa3886RjfomYacfRTX4mj3K+Dp5jE7nEMAVbov6Zf1ekju/ckGAn7/Y+Xrlc8kvETDuOffKS45y5xHCBzLb+uXgJKhLIbfv1bPTLZL8KjydNTNtxvJAbHefQJIb0V/BRUcBe4d7qXdXmvWSJh8dqDfJXazSOKGcLk0T9Mwf2JnlcfX85JWtg15MfhPPbxEw7jmeBFdslhsl8S9U/c2C/eLhIV7AnyNvC+W1iph3HlkCP7RLDZL6l6p85sG/Jc3ysXzVcU/F2WCkg2AcqfkNMq8zX2O6YXyJm2nG0qXh7box7+ZLFTeQSw2S+peqfObB1ka+439R7mb0q/tboSYWRXkH0llOFez59bQMZjPmXunk+db5rFe8Vh4jhq/740zCokALYEMAG2BDA/iER/l8GlEnGPgAnZ2IirgD2KQAAA3R0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+KzwvbW8+PG1mZW5jZWQgY2xvc2U9Il0iIG9wZW49IlsiIHNlcGFyYXRvcnM9InwiPjxtdGFibGUgY29sdW1uYWxpZ249ImxlZnQgbGVmdCBsZWZ0IGxlZnQiIGNvbHVtbnNwYWNpbmc9IjFlbSI+PG10cj48bXRkPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5hPC9taT48bW8+JiN4MjAwNTsmI3gyMDA1OyYjeDIwMDU7JiN4MjAwNTs8L21vPjxtbz4rPC9tbz48bW92ZXIgYWNjZW50PSJ0cnVlIj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+YjwvbWk+PG1vIGFjY2VudD0iZmFsc2UiPiYjeEFGOzwvbW8+PC9tb3Zlcj48bW8+JiN4MjAwNTsmI3gyMDA1OyYjeDIwMDU7JiN4MjAwNTs8L21vPjxtb3ZlciBhY2NlbnQ9InRydWUiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5iPC9taT48bW8gYWNjZW50PSJmYWxzZSI+JiN4QUY7PC9tbz48L21vdmVyPjxtbz4rPC9tbz48bW92ZXIgYWNjZW50PSJ0cnVlIj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+YzwvbWk+PG1vIGFjY2VudD0iZmFsc2UiPiYjeEFGOzwvbW8+PC9tb3Zlcj48bW8+JiN4MjAwNTsmI3gyMDA1OyYjeDIwMDU7JiN4MjAwNTs8L21vPjxtb3ZlciBhY2NlbnQ9InRydWUiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5jPC9taT48bW8gYWNjZW50PSJmYWxzZSI+JiN4QUY7PC9tbz48L21vdmVyPjxtbz4rPC9tbz48bW92ZXIgYWNjZW50PSJ0cnVlIj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+YTwvbWk+PG1vIGFjY2VudD0iZmFsc2UiPiYjeEFGOzwvbW8+PC9tb3Zlcj48L210ZD48L210cj48L210YWJsZT48L21mZW5jZWQ+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjwvbWF0aD7ZSnisAAAAAElFTkSuQmCC)
![plus left square bracket b with not stretchy bar on top minus c with not stretchy bar on top c with not stretchy bar on top minus a with not stretchy bar on top a with not stretchy bar on top minus b with not stretchy bar on top right square bracket plus 1 equals 0](data:image/png;base64,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)
If
are non coplanar vectors then the roots of equation ![open square brackets table attributes columnalign left left left columnspacing 1em end attributes row cell left square bracket b with not stretchy bar on top cross times c with not stretchy bar on top c with not stretchy bar on top cross times a with not stretchy bar on top a with not stretchy bar on top cross times b with not stretchy bar on top end cell end table close square brackets x squared](data:image/png;base64,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)
![Error converting from MathML to accessible text.](data:image/png;base64,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)
![plus left square bracket b with not stretchy bar on top minus c with not stretchy bar on top c with not stretchy bar on top minus a with not stretchy bar on top a with not stretchy bar on top minus b with not stretchy bar on top right square bracket plus 1 equals 0](data:image/png;base64,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)
Maths-General
Maths-
If the squares of the lengths of the tangents from a point P to the circles
,
and
are in A.P then
are in
If the squares of the lengths of the tangents from a point P to the circles
,
and
are in A.P then
are in
Maths-General
Chemistry-
In the following redox reaction,
Number of moles of
reduced by 1 mole of
is
In the following redox reaction,
Number of moles of
reduced by 1 mole of
is
Chemistry-General
Maths-
The vector
equals
The vector
equals
Maths-General
Maths-
Let
be three non zero vectors,
such that
angle between
and
is
,
is perpendicular to both
and
. (where
Greatest integer function and
Fractional part of
. If
, then which of the following is correct for ![f left parenthesis x right parenthesis](data:image/png;base64,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)
Let
be three non zero vectors,
such that
angle between
and
is
,
is perpendicular to both
and
. (where
Greatest integer function and
Fractional part of
. If
, then which of the following is correct for ![f left parenthesis x right parenthesis](data:image/png;base64,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)
Maths-General
Maths-
If
and
are two values of a for which the unit vector
is linearly dependent with
and
then
is equal to
If
and
are two values of a for which the unit vector
is linearly dependent with
and
then
is equal to
Maths-General
Maths-
are three vectors such that
and
for
. Then the value of
is equal to
are three vectors such that
and
for
. Then the value of
is equal to
Maths-General
Maths-
The point which is at a distance of 12 units from the point whose position vector is
on the line which is parallel to
is
then ![alpha plus beta plus gamma equals](data:image/png;base64,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)
The point which is at a distance of 12 units from the point whose position vector is
on the line which is parallel to
is
then ![alpha plus beta plus gamma equals](data:image/png;base64,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)
Maths-General