Physics-
General
Easy
Question
An Indian submarine and an enemy submarine move towards each other during maneuvers in motionless water in the Indian ocean. The Indian submarine moves at
and the enemy submarine at
The Indian sub sends out a sonar signal (sound wave in water) at
Sonar waves travel at
What is the frequency detected by the Indian submarine
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)
The correct answer is: ![1.04 blank k H z](data:image/png;base64,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)
Frequency detected by Indian submarine
![n to the power of ´ end exponent equals n open parentheses fraction numerator v plus v subscript E end subscript over denominator v minus v subscript I end subscript end fraction close parentheses open parentheses fraction numerator v plus v subscript I end subscript over denominator v minus v subscript E end subscript end fraction close parentheses equals 1.04 blank k H z](data:image/png;base64,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)
Related Questions to study
maths-
The locus of the middle points of chords of a parabola which subtend a right angle at the vertex of the parabola is-
The locus of the middle points of chords of a parabola which subtend a right angle at the vertex of the parabola is-
maths-General
Maths-
Let F be the focus of the parabola y2 = 4ax and M be the foot of perpendicular from point P(at2, 2at) on the tangent at the vertex. If N is a point on the tangent at P then
equals -
Let F be the focus of the parabola y2 = 4ax and M be the foot of perpendicular from point P(at2, 2at) on the tangent at the vertex. If N is a point on the tangent at P then
equals -
Maths-General
Maths-
If the point (2a, a) lies inside the parabola x2 – 2x – 4y + 3 = 0, then a lies in the interval -
If the point (2a, a) lies inside the parabola x2 – 2x – 4y + 3 = 0, then a lies in the interval -
Maths-General
Maths-
If the chord of contact of tangents from a point P to the parabola y2 = 4ax touches the parabola x2 = 4by, the locus of P is -
If the chord of contact of tangents from a point P to the parabola y2 = 4ax touches the parabola x2 = 4by, the locus of P is -
Maths-General
Maths-
Let A be the vertex and L the length of the latus rectum of the parabola y2 – 2y – 4x – 7 = 0. The equation of the parabola with A as vertex, 2L the length of the latus rectum and the axis at right angles to that of the given curve is -
Let A be the vertex and L the length of the latus rectum of the parabola y2 – 2y – 4x – 7 = 0. The equation of the parabola with A as vertex, 2L the length of the latus rectum and the axis at right angles to that of the given curve is -
Maths-General
biology
Given below is the ECG of a normal human. Which one of its components is correctly interpreted below ?
![](data:image/png;base64,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)
Given below is the ECG of a normal human. Which one of its components is correctly interpreted below ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANsAAADKCAYAAAAsCTV+AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACRUSURBVHhe7d130F1F+Qdw/nfGMuOMf1gGFceCil2qAoIg0jsiTUARRJCIKAI/QhMEJASkhRakioB0IaFDCgQUEIIgLZSQQGhJgEBwf+9nrxsv15O87d6T916fnfnOfd97z9mzZ/f57lP2OXuWef3111MgEOg8gmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmw14Y033vg3/F3wRuWxgd5EkK3DQKi33347Lan861//SgsXLkxvvvlmELCHEWTrIGgvn6+99nqaN++1PsxPc+fOewfmzZvX9/tracGCBRlBtt5FkK1DQJq33norPffcc+n66yekU045Lf3+979PJ5xwYjrxxBPz59ixY/u+PyVdeuml6W9/+1uaM2fOItJV1RnobgTZOgBEQxjlgQceSHvuuWdaccUV04Ybbpi23nrrtNVWW6Utt9wybbHFFvlzp512Svvvv3+6+OKL09NPP53NziBc7yHI1gE0k23atGlp3XXXTcsv/5l0wAEHpDPOOCOddtpp6eSTT07jxo1LRx11VNpuu+3SZz7zmbT22muna665JvtwtGKYlL2FIFsH0Ey2u+66K62zzjpprbXWShMmTEizZ89Ozz77bNZgM2fOTP/4xz/Sueeem1ZfffX0iU98Ih199NHZ9HS+gElV/YHuRJCtA2gm2913350233zztO2226a///3v+TuF9gIFAUePHp1WWWWVtN9++6W//vWvOWjCnKyqP9CdCLJ1AK1k46ftvPPO6bHHHsvftZbnn38+7b333mm55ZZLo0aNyn4eslkOqKo/0J0IsnUArWTbaKONspl41llnpVtvvTXdcMMN6aabbkpTp05NN998czr++OPTqquumlZYYYV00kknLYpKhhnZWwiydQDNZBMgWWONNdJ73/vetP7662cNt/3226dtttkmm5aIyHx0jACKJYCywF1Vd6B7EWTrAFoDJCuttFJ617velX23ffbZJ+2+++55GeDDH/5wev/735822GCDvN52//33pfnz52dfTR1VdQe6F0G2DqCVbLTWF77whRzyv+OOO7IZKez/rW99Ky277LJpjz326DtuWj5eqaoz0P0IsnUArWbkxhtvnDbbbLM0ZcqUrLmkaD3zzDN5zW2TTTZJ6623Xp+vdnJ6/vkXcoTSuaHZeg9Btg6gmWwlGrnDDjukBx54MH9XivW0U089Na288sppnXXWTRdeeFGOTCrhs/UegmwdQCvZaDVpWUzFt95qBD8EQRRrb7vuumsO+zvuxhtvzL9FBknvIcjWAbSakSKOm266aZo69c5MIr8hnPLKK6/kROTVVlstB0wOPfTQ9NRTT+VjHFtVf6A7EWTrAJrJJkCCaDTbtGl3LyJbIRwtJn3r4IMPzutstBvyWWuLDJLeQpCtA0A2QBbZINbPpGPJg2wmm2OQzeekSZPSIYccknbbbbccqUTA8lvVNQLdhyBbB4FQL7zwQs51vPfee7O2KkQsJCoa7qWXXkrTp09Pt99+ez7W/35rrTPQvQiydRjFN1P8LeeRn4aEL7/8cj4G8Wi8UoT/Q6P1HoJsHUYh0sKFDfNx/vzX0lNPPZ211+OPP/6OLREax8VeJL2KIFtNQJ5Ctvvuuz/96U9/yn7aq6++mr8PcvU+gmw1oZCNJpPpf/jhh6c//vGP6cUXXwxN9j+CIFtNQKbis11++Z/zQraNf2SMlAhl1XmB3kGQrSYUsvk8//zz8+M2Qv1StoJs/xsIstUEZAKRyHPOOScnJx9yyKFpxoxGtkiQrfcRZKsJtBcTUgRy/Pjxaa+99kpjx56QF7o9CRB+W+8jyFYThPTnzp2bcyVtjzBmzJhMOv9bwI5skd5HkK0mWKhmQl5//fXp9NNPzxuyikb6n98WT2f3PoJsNUGRrnXBBRfkZ9hs9nPFFVfk/5988sn8e/htvY0gW01QpGh5Ott+Iw8//HC6+uqr89///Oc/8+9Btt5GkK0GMA/tx/rcc7Oyv3b22WfnQAnNZhs7QZIgW+8jyNZhIFqDRG/0EeyJdNFFf0xXXnllfkD0sssuS8cee2zO9g+y9T6CbB1GIducOS+me++9L11++RV5hy1Bkb/85S/ZjJSU/MYbsdbW6wiydRgIZA2NJrMb8lVXXbXo2TZh/0suuSTvujVr1qxFx7fWEegNBNk6DESzoF0CItddd33212T789Vot4kTJ6ZHHnk4L3o7vqqeQPcjyNZhII8F6/vvvz+vq9188y1ZqyEWbWfPf3uO2IXLd4hZVU+g+xFk6zCQB9mQSU7k7bff0UeqBgk9qW29zfdIV7Yer6on0P0IsnUYyAZ33nlnOvPMM9Mdd0zq88sa2g7hvEjDu7YtAyCbUlVPoPsRZOsg3nijocFoskmTJuf1tcmTJ/f91thVS7H7ljxJ6VtyJ5WqugLdjyBbB7FgQWMXLU9j33LLrfl1vvaRFOYvZBMk8X5t2yTw5XwfOZK9iSBbByGML+jhJRreXCNAIuxfgibKo48+mv7whz9kssmRdHyE/3sTQbYOAqm8scbrfWX3yxh58MEHF/lxngRAMGttyOY3QRPnhXbrPQTZOgiE4oc99NBD6dprr80L2tbbCtlEHmm96667Ll1++eVZ68UGQL2LIFsHwVT0DJuII6LRbrRcIZvfZ8+endO3LHhbBvC/34JsvYcgWwdBc9FUIpB//vOf02233ZaefvrprLkAqfyOjNdcc01+XRRNh4Tht/UegmwdAs3EJ/MMm3Qsftk99/y17/85mUiAcHw0vlpJ25JVEmTrTQTZOoRCNgnGtNpFF12Uw/xz5857B9nkSD7yyCNpwoQJ2cwUMAmy9SaCbB0CsikzZ87M+0RaY3viiSfy9wUIJWuEaWlpQJDEUgDzMsjWewiydQiFbHwwmSPW0hCvOfexsejdeNZt4sQb8n4kIpeh2XoTQbYOoZCNDyYn8rzzzsv+m/KfY6zFWR6Yl8mGlN6xjZBBtt5DkK0DKGYiDSXUj2y0lnSsZrKBY3zedNPNeX8SL05EtFJH87GB7kaQrQMoRLHG5jk2wREL1zZjbX2EBtkca1mAZrPmVl6SGNqttxBk6wCQBAREvB5K9oi1NNkkgh/NxxayeQSHqSlQImAST233HoJsHUBZtL7vvvvy+lrJHCl7+jcfW7JFPGpj1y0asOz/30rMQHcjyNYBIAlSyRzhr3kK23vY/NZqGhb/TCDllltuyWty0rZoweLPBXoDQbYOAEmQjUnohYeTJ0/pI1TDtBSBbD4W0YA/d/fd96Tx48/JqVv8NovizccGuhtBtjYDmRp+2IKcfHzUUUf1aao7cxSy1YT8zzmNl9w/9JAHSU/JkUvkU6qOD3QngmxtBrIhjrUzGSFHH310fjpbWRLZFFvcnXDCCXkJoGqZINDdCLK1GcUH46N5bGbcuHE5/M8k7I9s8iJt/nPmmWelWbNm53P8VnVOoPsQZGsjEAOhSnIxsnk621tqrK/1RzYhf9vanXfe+empp57uI+6b/xVQCXQvgmxtBNIwIT2jds8992SfzTNq/T0247zyhIDgiIik8D/SFk1ZdV6guxBkayOQAqnkQFqkRhzhfy/RQMLFkaacVx40dd60aXdl8tGGod16A0G2NgJpmIu2Nigv0bATMvINhGzC/fYhkXEi84RGDLL1DoJsbQTSMAc9SuPJa9FIWfzC+EizOLJBI4I5N5uPskicX/YrCbL1BoJsbUTRbAIdtNqVV16VgyNI1J/vhYzyIZ999tms1RAV8Wi8xQVWAt2FIFsbgUyIQSMhyzXXXJtmzHgq5zn2R7aivZicTFDbkcuXDLL1DoJsbQIiFdBIyML3Ehwp31edV9BMNjmSskgkMiNakK03EGRrE5oJZbcse45YZ5MJwu9qPb4VjfMX5HC/N90gW3lnW39aMdAdCLK1CYVs8+e/lu6//++ZbAIdHiBtfWC0CtK8LGL7e8qUqfl8pHvllVcX1d16TqC7EGRrE4r2Kdn7XqJx66235L3+B0I2YC6qB9nkR9544019ZuWc/FsxMwPdiyBbm1DIJpro7aJe3Tt16pQcHBkM2UD2Cc02YcLE9Mwzz8abbXoEQbY2oQQxyoargiPW2AbzxLU6HDt9+vQczfSEt6UD2rHUH+heBNnaBCF6GohW8spe/hYt57eBEoX2cqxHbRBW2paIpKCJ+qvOCXQPgmxtAlMR2WyBYENWkUSL2YMJbhSy2djVLlv2JJkyZUr2A4Ns3Y8gW5sgTQvZEMQzaTRc8eMGQzawXGD/SC9IpOGsvQ3U7wuMXATZ2oRCNrtpHXfccYseGEWequOrUIipHi9NpCHtOSn7XxkoaQMjE0G2NoHm4VvRRmPHjs0L28pQyKYu+ZWnn356hiwUJcjW3QiytQFIwNfyaI2QP4JI2VIGQzZQl0KbqefUU0/NPpwSZOtuBNmGCQRAKOF5UUQ+G8LZDZkZORSCKPYwsUXCaaedlhObkVldQbjuRZBtmCD81saQY9q0aTkf8vbbb8+aSQRxqGQTFEFa+/+X8H+QrbsxbLIZfLPu4mDW72UBcX98rBkzZuSFbM+x8dc8de3+h3Lv6hPut3+JAMmkSZOy3+ZagzVLAyMHwyKbgWcq9VcIT68KSekDpp7giAdG/V0eGK06pz/QiDSZ8L9MEiSWSVImsKpzAiMfQyJbMWcIhC0AhKmZOvbPAG9sISj+5sfIfGdqDXWmH8lAqLff/ldO0/JYDLLZhq48MFp1Tn/QV87n93lygHbTp/pvoKlfgZGHIZGNEBl4ppPUpEMOOST99Kc/TT//+c/Tfvvtl0aNGpX22muv/L8wuKyKYgb12szsnt56a2F64IEHc0BDihX/rUxIVef0h0JSfpstEvhtMkm6lWylL9zXQNBrE3LBkMhmwJk6Em1/+9vfpvXXXz+tvfba6Yc//GEm2t5775322GOPtPPOO6fNN98846STTsprR87VoVX1diMawrEga3aL0DL1/+OvVZ/TH4pgWtz2RhtvwpG+1W1k036f3IjBFn1Qzu8VDIlsiAby/w4++OC04YYbpt122y2df/75aeLEidn04Wf4HwE/+tGPpu9+97s5i50gDjVKN9LgHkDYn5nH3PMGUfv8D4ds4Hz9pF7PttmXxPdLIlshqXMLlqamcF2EoekfffTRvKeKCVoAyYv6uR/WIz3l0PybLfz06dJqd6cwLLLZiHT06NFpxx13TGPGjMl+C/9M5zKBhL/5MN///vfTuuuum18yoYMFFAhCVd1LEwa3oOr3VhQNPWfOi319cVdO1fLpu+FqIP2jn2jMxoOkN+agi+8X175CNNduxtIiHI3Gr+dGcDV22mmn9L3vfS/94Ac/SLvsskueiIEFtP3222c58ZvFfAkCzl8a7e4Uhk22ww47LPtrXlHLqW8tzz//Qk7M3WKLLbIf5xxluMLYThTBbi3auKTBLmSbOfO5/EiNff0lIDtnuPenTYTNjC/wcsMNN+a+VHdrmxYsaKR4GROE5B97SQezvexZqfi9+bxOQ58iG0vnF7/4RXYnNt1004xvfOMb6XOf+1z60pe+lCfizTbbLG200UZZTrzTrhfzQdtCNv5Z82uOyoxKAMzMv/zlL9N6662XP5lF5ZiquutEEWifRSMTVANNSB1ThLhq0J3HTGL2MPMEi0Rg20E2RHZd1oLw/8SJN+TrtEY5Xcv/2sEk0wYBFdrhjDPOSBdeeGH299yX9kJdAuxa2useaGZtQzxt2nfffdN3vvOdtOWWW6bjjz8+B5bcp2MkBxiPuieHTmNYZPPesUMPPTSbATLd2dv2q2cCyOdDNKbjCiuskFZeeeX8+iQCUwS8qu66QOCKNtNm28cJRLiPU045Jadd8TPKMW+++d9BHYQiTI5jKtnFmP+h7uHeXyGbui2U84GZ4DRFc936ct68+XkS4z+vtNJK6etf/3qe3NZcc83c9wJYJkNjUsau+VqdQiE14nArgC+GfCYDJuM+++yTI67uy2RNdkx0Jo+6JoW6MCyyWUvjs33729/OZoDIpNlU8qyX+hl8ZsFXv/rVbGoysQhnnbNrK1y3CLLZ3ozq7aCWKX70ox/liYMfQVv/+te/zsRrmIaNTJHmupCN8HDsBX8IjXXFdpFN/cxBdUsDM3kJMPne70Wj2WDogAMOSN/85jfTaqutlrWF/nYvq6++elp++eXTWmutle/Fuqh7r7P/y73oP0W/M431sXbr31IWLmysx1bV0+0YFtk8s4VQX/ziF9MnP/nJTDjBkq233joP+FZbbZV+8pOf5EFGTLOXTq+qsy4YSKDNZHyY/T/+8Y+nbbbZJjvxJokjjzwyz7qf/exn0wc/+MG8nPH440/keyY4RVD9z0cSnmcCeQMNYS6Ebr32YOB87VSfdC2TArPd7O+6+hFoK/2LUIglGmw7BrAOSuMx9T/1qU9lX0lbTXjOrYtwpT9cU9Hm8ePH58lt//33z0ElxX2xIOqcCOrEsDUbAWWyiDKdcMKJ6fzzL+gzEc7I2erWncr7yQhOozOX7qzFLDTwtMUOO+yQCbXJJpv0tfXcvJTBDHRffAfa4fOf/3xeQ2Ri0jLuoRDJTG0C8aJ6fojzmECEZbgC43x9xfQy82sPU5U/6braQXiZZKNHH5w+8IEP5Pug6VqL8016e+65Z67DROP8uoVavynkQX/uuuuu6Ve/+lXeuk8WjvsdznLJSMewfTazpjU2pqPZVHnttdcXrZMUwSgCujShDdpCYGlkkbAdd9wpR/r4PYr2FhBki/EceVqBwKuHUKgLcZl1l112afZHRQ793k6yqV+9tLDr62PXLZqN9jr55JPT1772tWzOe5Ei345GpMEU9Qnc8EuZvLRjQ7CXHtn4kEG2AaCZbAIkyMZXK9FIwtAstHWaLIuD62szs0+7+TMrrrhi1sbWyUop96Zo+0MP/aNPa2+bPvaxj6Xf/OY3WYgJTTGJaDJpWiJqZQ2xHfeqDkAYfqB3B1g0J6hKIfyrr87NkVB+5le+8pUcDBH1lVDArJUULeiAtCBYoc6lMR5Btoov+0Mz2Wg2A02zcXwVnVqEper8pQFtQgRtZPIxey2iXn/9hEWaorm9/lb8vfvuu6f3vOc9+VPE1W+IqCDq+PHnZF+PYCvtum/1EEAER7Szzz4rJyeXa4B209R8OmtZ1qrAvW233XbZb5Y+Z8FdPX23mttedb1OI8hW8WV/KGSTHCtiZ2AJWzEj2yVs7UQZaIT43e9+l8lmoO+6a1r+vmqgy/fWhPhEtKE1IL8Vgj777Mzsp/JBmHRKO8mGGLYgR7Zx407LSwHN1yik9z9/00Ry2GGH9wnyD9Oaa34rp8p95CMfyabwmWee1Ue4xiuH9Ufr9TqNIFvFl/2hkM1iqdlU9FG6VjeQzXNhzEFLEsLOghqKgS7Haj+U7w866MC03HLL5eiZiKBjFMGRIuDMPFG2dpmRBepj/vHZxo07vc+P/Oc7ruHTWCjaSnvRvrfddnvWZrIxBIJEiwVQrAUKkCBpO9s5EATZKr7sDzoF+CgG1AKlkPPSinINBGWgS0CBeWWdx4RBeN1P47hGVknRGAsXvt0nEPunZZddNh9/771/y/enmFxuu+3WvH0Bv0nksN33rx38TJkX5557Xn5DjmCO69BQQvkEF4mKGa/03VLf7422WP+Te2hpgI+NjEq557rQPAZkRpt+9rOf5VQ37Q2yNcHA6RADTQiKOeJ7n37zWXXu0oY2IpUgDsHddttGcrS3zWi339zPSy+9nE1DE0dDq7zS56vtkT70oQ/lWZgZ6nhFetSll16WszvK09l+q7r+UKGvRXaRSqSR6U57KdrnBRzuQ7RUfqqATWuxZCEzxjqojA2msOJ+q67ZKTSTTUCNxtWeSZMmLzWyFdltll/fQdXxw8GAyebiGlNm/MWVRoeNPM0GZXIQYdxuu+2ztrJOKCeylOnTH8oEtBMx/2jy5Ck50CDSZ/GYMCOAwgTlB1lnQ8oyUFXXHiq0WfRQ6F4WiXUyxC7j4JEeviS/bOONN85kbC0WxZls1kOlz5Vt9to9MfQHfaMwt/WxyUt7LLy7H/1XdV4n4Zr62JgWa6HIcLvHsl+yaUwpFkwJoAGWr2emlenu0yIxgSgaQaNHGum0p2iro476bV7QluJUwvZMRkT0P/MGPBay6aab5HA6jUAoiqDTNp5ER7Y332yse7V7ZjbwjX5/LJvqMlX0s3Fp3MvLOY/T84LyIC3E0xqOAyamxexVV101+5zGriT51j0+rue6rAsJBGXy4MPVOUm7ThlD19UeT0iI9LIaWBI0rcKXbNcksESyuUjpBGs1Qv2ibvII2dsCI9Kc+D9mTrMUwePLON+5rXUubRhs7ZJVgUACBxJ3EWzq1Dvzu9WOOebYnGP4vve9L7373e/Oi8XW0ghFM9lojGOPPTaToMyMVdccDoyB/n/xxZeyb4M8BNRvpS1C/wIou+yyS1pllVVy24X/aTrpaGussUZOPzMxIppz6hLsVriuyUNwiZVgsvB/uc+qc9oJ1yjX4mPzX8kshaEPLaEI2Eho4APzjx3fjvYtlmwqNij+NqOLNv74xz/OJsu++/48JyATNN8feeRR2SSQEmT2FAEzE5dBHUlOr06jgfztvg488MAslHI5LQdstdXWaf31N8gZGZ/+9KczLH7TGIIQc+a8sMjsoCWQlPB3imxFOFxTwjFNKpOEgOrfcl2msDeVmihEiE2IliwszTjHhEB4yjnOr7pep0EWTHatxf25z6pz2gV96dquI5NGdhDrxXOW+olLQY756IJh5NsEZ0LQb0VuhopKspXOYBIyDwkk7UWLIdnVV1+VG+utmGZVDrhsBVE+IXVCe/HFf8qD2xCUkaXhdDoTTNv4P2Y0Aop0a6/97bT55lvk/xHpuOPG5AmGFjc4lg6cT1ilP8kBFdEsBKy63nChnQrz8ZhjjskRYG1Qyu+y5UVSLbJbHqC5+ULMflqxk+2rQpkkXFNfNxe/E2CywwoiJzSu6GkpnbCKFJ8ix+SYL26N2CZVJiRWG+uMwiDHrLc99/xJTsWzjYM2IZ37aq17IKgkmw5S7OxL0DjWmM/GJpxmd067izYu3FCvbF5mjsaKMon6+V1nt15jaUPHldnUoHt85eabb+lr8/U5eVrww/08+eSMPq1wQ74vPhDzwr0TahpNNJD/oa7hznyLgzYqnrKwII9syF76tczYxq20QWSU7+Fv3xGSTghwKwrJCsrEBNr03HOzchDK5MxSuOKKy7NcCex4sgIJSx0+q64xFKhLmTHjqazJ+LBkWiRZ7ikXgb9Gvo0n05LV5jlMj4j522/NfTxY/BfZVKRhhEq4eIMNNsiPmJRHM0pxUYOnU3yWQstZNOYrHHPM0fl3pfU6IwVFEBvmVUMgPbvms8zIr7zyaiYeLcHOJzQEAwkFiixsq6dTwlz6UBTR+hRNTCMYp1aBdKy2GJ8iGL5rPqZTcJ3SZwILAlF8In3EJGOy7b33z9L++/86P1ojqeD//u+gLPTMXnImQdzxJV+1HW03LvoCmfitrBQajWltEqgqrqvtSGbJBGRJCaThgX6tutaSsIxKm6Gw/z1vxEdz84imE6FqgMG5ZZAlwXLSDzzwgEUEbb3OSILB0PZW+L75OPft/jj3tIyZmXZDxHJsa7+0A+rV9yYyjjzN5vq0gOtWjcfixqndcA19VTQnc5AG4M+aFLgW/CA7sH35y1/OD7HKpeVPHnHEEVmYPbzL3zexr7HG6vnva6/9S95zpUwaZQxcYzBwTinaJCjGbERobpLimNJfUK5TJmGulKg0v16klyWkuO9ybKmjqo8KFpHNCU5WzKBmITYtgSqE8XtVJQXlfGtUZo/DDz88awKCUho2UlEGp9EP7xysxncN8ul8Qi5tS6DCADJBSj1V/TJcGMQyM/MTmbPMLhFi3zcPchGYuuCeCxm0j/8qQNZYMtksBxpkrbCSJKubLJiQ/Mnp0x/MmoI/JFjlN8QT2bZcwbx0T+SnjMVg4TzF+Fn0F3vQlrJFhPF0H6X/Sh8613UVMiwlz4ZFnnDRXqVVplvracUyBAfMSGZsJpIBpTa33XbbRRX3VxEUsvF5hJo9EcD0Uqe6y7W6BSYZA+K+yj0aHCFrTjaTxHLIrFmz+zq7MUDN/dEu6HttsB7El7SuxqcgMM3CUgSrzqJdNLuJh6ZqmIqNTXqZioIO0sUElvSb9i6uqMvjRPxS64a0kECPScW90yiCKYMBotBg2shsFWWmbY1rsdRa+7sZxlTRfhrZI0w0nTq1q7TJdci4Zzmr6oFlEAOYQzrFIGqMmxXoYBIo/TXK70UDCIzsuOMOeXYikKXucq1ugA7VboETZrV7A8KiY/0uJ9K2443skcZMX9U3w0XpWxOAyQ/ZmEHSnrTHb4SC/+EYQkDLtApeu0DAgADTUghlrJmBUrDIj8wbk4FJXLvcgzaWfixtLvB/0SQCc+pTF1+PJudf0XTuezAwTmVHL8rDhkh2ECilqr+bod2KvjZ5MIe1yXqc9oDxKPvPWJdzTtVy1zKjRu3T55jCqAyzksVRKtNeHAPN5C+dSRvQjELnQqfsb7Ndo/5yrZELjrpIqomm5O4xi8tM6FNETSfznZhBNHejgztHNn3rOtYvXZsAEvbSJqSTBUG4mEsECkRL2wl1A5+e5aKPBBsIomUQfaVPPNRaijaahBFqSX3kGIXMeaSIzJBFY8Dv42uRq8Gg4aP9IkcgyaO6mLqKPqtqR0Hpd2ChCZAwj8Uy+JzlGuQbVyQ5uO9yTmt9yzioGSKJdsk66aST+2b2m/+t+vtP7Sm/CzfrbMIwdmxj85wjjvjNO64xkuHeLdIffPDo7HfKLhEkMqMTmoZQP5Pvj48haFHuv78+GirKoNMQru2BV9d/7LHHs9Ao+p0VYamGucNfRgYLte0E/wsOOuigvol0z+wu6B+apznHFHGG0h/u04RNSzBNG2udx+V1sKFizJjjcyBGHitrBZm1r4oQzShjqj38ckrEg8J8Uu0q9TN7LQ3xQ+fNW/zEu4zXG7XCgHrI0GKoCw2u0xqpOCJJzzwz87/qHulw7xbr3T/htUBvRmQyIpxircb/zAfmFAIOro8GjzKA+pXAaNvDDz+S24NoZlUzrMdofIoE0g5V2qkdkL52ySWX5ox9E44xtzPWQDRYf3CuiYWfhhjDNYmd30jAaGwPQaarrrs4aIv7sxyhjqr6yQGTuer8gmXyaC2mME8anTbw1J6SjkMAu73wzWgvppLILNtfpgb7XdY6gXeMUtUX7YR+NRMTFv4BMj34YGN9j1+JYPIhZUAgHhOTv229tN1guQCfbP78/6xTtStTiMy5r07IkDr702hVKG36t1tZWfxedW7BMipZPKpPGgiq6+seGBCFDS7KJpnXJ9sd2ZAQiulU1QfthLEwmN6QUyKhBB6hmDW22xMBRDKFUJksOwnt0U/6q6rNw0XrmLQDVdcZKKrqa0bVOc1YYtb//zoUQiXoQHMQZk9Ly1Gk5URuhYAJdtX57Ya2CC1bY2PCyk+1HQPNK5BA2wmiKKyLOjAQIQs0EGRbAgiT2Zs9zkcj0DbSEeoW+uUQs+WRoOr8dsN1CLfrioQyZUXoLNRK4+LfSEbuz5wJLB0E2ZYAgl3MSb6K7AZJ2ULdggR8FsfVJdyuo03aUhK+RUxFUaVviZZ6iHU45n+gcwiy9QPCTYiZZ9ZnaDf+G03iu+K3VJ3bbtC0riUC5rVQ66yzTt7ewQOvImxDdf4D9SDINgAQYIIuFC0TwRqTxVtErNNv0Q7XYroKkljfsr1diYjW1Y7A0BBkGyCKIDMdJWpbW2n+vk4Iksye/XyyX8oTTzyZ14GQvurYwMhBkG0QoFmKdqn6vT6UUPPgQs+BpYsg2yBRTMqlLdyuX3y4qt8DIw9BtiFgpGiR0GjdhSBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQE0IsgUCNSHIFgjUhCBbIFATgmyBQC14Pf0/rFLqdxSQH8EAAAAASUVORK5CYII=)
biologyGeneral
biology
Cords of bill roth are found in–
Cords of bill roth are found in–
biologyGeneral
Maths-
Find the area of shaded region in the figure.
![](data:image/png;base64,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)
Find the area of shaded region in the figure.
![](data:image/png;base64,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)
Maths-General
maths-
If
dx = Ax + B log sin (x – ) + c then value of (A, B) is
If
dx = Ax + B log sin (x – ) + c then value of (A, B) is
maths-General
Maths-
If
Ax + B log sin(x –
) + c, then value of (A, B) is –
If
Ax + B log sin(x –
) + c, then value of (A, B) is –
Maths-General
Maths-
If
x sin x dx = –
=
If
x sin x dx = –
=
Maths-General
Maths-
A Square of side 4 units is combined with two right angled triangles of bases each 3units to form a Trapezium (as shown in figure). Then perimeter of the Trapezium is
![](data:image/png;base64,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)
A Square of side 4 units is combined with two right angled triangles of bases each 3units to form a Trapezium (as shown in figure). Then perimeter of the Trapezium is
![](data:image/png;base64,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)
Maths-General
Maths-
In the figure, ABCD is a kite with AB = AD, BC = CD and
intersects
at O. If
and
then a – b + c – d + e – f =
![](data:image/png;base64,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)
In the figure, ABCD is a kite with AB = AD, BC = CD and
intersects
at O. If
and
then a – b + c – d + e – f =
![](data:image/png;base64,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)
Maths-General
Maths-
The expression
where
when simplified is.
The expression
where
when simplified is.
Maths-General
Maths-
Suppose you drop a die at random on the rectangular region shown. The probability that it will land inside the circle with diameter 1m is
![](data:image/png;base64,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)
Suppose you drop a die at random on the rectangular region shown. The probability that it will land inside the circle with diameter 1m is
![](data:image/png;base64,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)
Maths-General