Maths-
General
Easy
Question
The function ![f colon R not stretchy rightwards arrow R text defined by end text f left parenthesis x right parenthesis equals x minus left square bracket x right square bracket comma straight for all x element of R text is end text](data:image/png;base64,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)
- one-one
- onto
- Both one-one and onto
- neither one-one nor onto
Hint:
In this question, we have to find the type of function if
A function
is said to be one-one if different elements of A have different images in B, a function
is said to be onto if for all
, there exists
such that f (x) = y.
The correct answer is: neither one-one nor onto
We have f(x)=x-[x].
Clearly, f(x)=0 for all x
Z.
So, f(x) is not one-one function.
Also, range= [0,1)
R
So, f(x) is not into function.
Related Questions to study
physics-
A sphere of radius ‘R’ floats in a liquid of density ‘s’ such that its diameter x-x is below distance ‘h’ from free surface as shown. The density of sphere is r. The sphere is depressed slightly and released. The frequency of small oscillation is
![](data:image/png;base64,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)
A sphere of radius ‘R’ floats in a liquid of density ‘s’ such that its diameter x-x is below distance ‘h’ from free surface as shown. The density of sphere is r. The sphere is depressed slightly and released. The frequency of small oscillation is
![](data:image/png;base64,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)
physics-General
Physics-
A conical flask of mass 10 kg and base area as 103 cm2 is floating in liquid of relative density 1.2, as shown in the figure. The force that liquid exerts on curved surface of conical flask will be (Given g = 10 m/s2)
![](data:image/png;base64,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)
A conical flask of mass 10 kg and base area as 103 cm2 is floating in liquid of relative density 1.2, as shown in the figure. The force that liquid exerts on curved surface of conical flask will be (Given g = 10 m/s2)
![](data:image/png;base64,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)
Physics-General
Physics-
A vertical jet of water coming out of a nozzle with velocity 20 m/s supports a plate of mass M stationary at a height h = 15m, as shown in the figure. If the rate of water flow is 1 litre per second, the mass of the plate is (Assume the collision to be inelastic).
![](data:image/png;base64,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)
A vertical jet of water coming out of a nozzle with velocity 20 m/s supports a plate of mass M stationary at a height h = 15m, as shown in the figure. If the rate of water flow is 1 litre per second, the mass of the plate is (Assume the collision to be inelastic).
![](data:image/png;base64,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)
Physics-General
physics-
A thin movable plate is separated from two fixed plates
and
by two highly viscous liquids of coefficients of viscosity
and
as shown, where
Area of contact of movable plate with each fluid is same. If the distance between two fixed plates is ‘h’, then the distance ‘
’ of movable plate from upper plate such that movable plate can be moved with a finite velocity by applying the minimum possible force on movable plate is ( assume only linear velocity distribution in each liquid).
![](data:image/png;base64,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)
A thin movable plate is separated from two fixed plates
and
by two highly viscous liquids of coefficients of viscosity
and
as shown, where
Area of contact of movable plate with each fluid is same. If the distance between two fixed plates is ‘h’, then the distance ‘
’ of movable plate from upper plate such that movable plate can be moved with a finite velocity by applying the minimum possible force on movable plate is ( assume only linear velocity distribution in each liquid).
![](data:image/png;base64,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)
physics-General
physics-
Figure shows a stream of fluid emerging from a tube in the base of an open fixed tank. The expression of ‘y’ (Maximum height traveled by jet of water) is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVMAAAEcCAMAAABNm6f/AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAKWtrSEhIbW1te/m5pSUjPf39ykhKTExMd7m3nNzexAICNbW3lpaUhkZEEpSUtbWzsW9xWtra721vUpSlLVSvYxSQrUZvYwZQuYQtYxSEIwZEFpSEJScnBlSnIRS74QZ7xlS7xkZnBkZ7wAICBlScxlSxRkZcxkZxXNza1pjY3uEe8XFzhmlY4QZlDExOuYQ5oyEjLVS771SQkpS7+bWOuZaOrUZ70oZnL0ZQkoZ75TvpeZCtb1SEL0ZEOaUtUpSxebWEOZaEEoZc0oZxZTFpeZrtebWY+ZaY72M75SM772MxZSMxaWcnErvY72Ma61SlEqlYylKELUZlOaUhOYZhAhKEOaU5uZC5ntSjBApQuZr5oTvEITFEBnOEBmEEEJCOubWhOZahFopQlopEIScEFoIQloIEIR7EHNSvXMZvWvOpWuEpSnOpSmEpUrOpUqEpQjOpQiEpUpCSua977XvELXFEErOEEqEELWEnMXm3ilSQrWcEOberQhSQrV7EITvMYScQoTvc5zv74TFMYTFc5zF7xnOMRmEMWvO5muE5inO5imE5hnOcxmEc4QpcxnvEBmlEIR7QoTvUpzvzoTFUpzFzkrO5kqE5gjO5giE5hnOUhmEUoQIc2vvpWulpSnvpSmlpUrvpUqlpQjvpQilpZRSvZQZvbXvc7WcQrXvMealOuYpOua9xbXFMbXFc+alEOYpEErOMUqEMUrOc5yca71Sc0qEc7Upc+alY+YpYxkIKUrvEEqlELXvUrV7QuaEOuYIOua9pbXFUuaEEOYIEErOUpx7a5xSc0qEUrUIc+aEY+YIY2vv5mul5r3vpSnv5iml5hnvMRmlMRnvc0rv5kql5r3OpQjv5gil5hnvUhkISkrvMUqlMXOca0pCa2NSOntSa+b3pcW95ub3Qub31ub3c+b3EDEhEO/ezu/W7721nGNKUgghCCkICAghISEIAL2tnN7m99bW74ScjPfm95SljOb3/6WtlN7398W1tTEhMQAIAP/3/wAAAPl8/xoAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAeIUlEQVR4Xu1d31KjPBSXpClNUpNCuObOGwsz3/AgvkPfgTv30fpGO844ujp2XJ3vnBAo/WNLVyory69UgVIoh5PzP8nFgAEDBgwYMGDAgAEDBgwYMGDAgAEDBgwYMGDAgAEDBgwYMGDAgHNDkDgen/iKmPvygH1gRC2nU33CoqfLeeC+PWAvbhbeyVik7ssDCrBHtsZPQeb6anp1Ajz9Nhvhdx8HCeAgYmWSJE4yWJ6SRCZSGqPmzWHmykj4mlFZ6M75ryPNPU8vKb2Hl17q5SIZpRHgoXgfW16jKLwxXOsrOE3szvmvI9ySn1oyHxryy3Px5+gCB6dGF999cuf8NyGiMLRLFKulvtfAobDc6zdNk5PF4m3GrzR8mUp7xtfbf1KwsoQvitdCKbPGXT7LIndMc7DI5CBTjVI5npObyHef/Bt4sTyEQtSBJsBcUTSCP7DEJP0DeogoHsE5iDurNiF7cR/1H76IRpEQ6ZgXdw/IiV8D+7NmC6IXvixMec6EpME/IgDYKMOmjq3UNXYjY2E/8i98WOzqnyMqzqkoB/vsH/EDWEKBi0BJ0xiNdIs2RR8aDACSv3lTOnI7+wsfBSnLkKaIs1qSt6YwVgvZ3V+IEYmCNFaTezSbOHG7zwIxzqlW8WsU9puoDyqfKSWz+CZexfFNIUTPBAZ2QJyZWS7PepnOEUNzBIW8+irOYQRMi0W/Y4DxFGl6n30VTd8JiG5+6bb6B5ZGkdFXdJEb8nV8ahb/mRV4AmEvXdXULDj18ixK06/zb1iQpnGO7m/yJ67Z347IWlDm6xXGyMar8lEPGTVET/RNuq0vRPEw8y8TOF+IiGpu5CqKx9k4expn8ZndRpYSvMw4zuS15G/56pf7oEcIOZWCEUU1YKr1ZOw+OBPEU46XudIqZUxqHveQTwldhKU1ZZG5D86E1LhL/QBiZuC09dD0JxyTxZlLcAASdsF8/6XtCIoP53sGJ//VuLBCjpe9n4x7SVMOfEpyaI0TDvgvC9MQQGIi2rOt/ICsSASnTYnM+YQvp1oBMbHt95CmEZ+s/AsRm9xkSSazJHFxTt6qD0Dm+QzOem2upUwSKZXKgJiZpv3kU4pq4meapoEQt0EqqYX2eNKiRx6jCsTzcrW6FCnY/AKuKvXvWLy7Q/qDiNPxo1u/gNt7vgZz1Qo8bT5hVvlbwjizp0SoWigx6TWfVmBzd+8elZt86ovmt8/Eps/JEndS717WnhTyaQ9DKcCnKNkqCKJKmIzckHgVl+8MHIKGIlbEclz7JonlXClYlJIPtVMky57q/U0+fReAW3EpRKysYF2Wf5cgEJuGA1OFJUE1yBROCScVG8aE1HDxXsrTDT5Fofr+jvcZrvP8FUxDm1Ws89kFVLEfzl2sWPhg829dvBcYbfHpGmFhnYPbY5c37w0ocFtkP48hgucBmg5dpuKdPbuz1uFb+7R/fAo0/YBVRPSUbULKa5mgeXl0kYn7Son9FT2g93vKp+OPhORzUX9S4AI8g9UecbAXNMJCi/Vr27Ry6DGfNg3wv8fbYvIj6GbFalL3Vu83vS2ws5waP4x7rZpVRQNNe+pHNc6XvgcEbNQYrNZDSzzOykKrY0D7tIc2/yl8enHxM0A3/QKU+MfLMwtEM+Yr9L7b6BHQ32/9tpo2557GpT62T88P5NNxD/NRH9unX4Ckv3q/Qz7trd4XDb341tHTuFTX8rSP8dNO5Wm/81GdoK/y9BR/v3X0VO8DTT+MS50bvbZPB73fKjrX+z2Vp4Pebxed6/2e5vcHvd8uUO93dVt91vtdtf0+16F0yac9jUt1xypDnL919FXvd2qfDnH+1tFXvd+tfdpbf7+z2+qr3u/UPu2xv98hn/bV3++OVfrr7w96v2VY+7QrNdFjf79LPh3qUFrG4O+3jr7qfStP3fqXY/D3W0ef9f7g77cLoGmndSi9ze8Per9VDHq/fQx6v30Mer99DHH+9oF6v6vb6rPe76rtD3H+9tFXvT/E+dtHx/Zpf+P8bv3LMcT5W0df9X6n9ml//f3Obquver9T+7TH/n6HfNpXf787Vumvv9/Z0I591fud2qe99fcn3cb5e8mnvLspRxL9u598yk+fXLctoDz96dZ7BOBTO08k+/IXIMOx5HGlXxjxqYmYSAHh173DNAwEewQ+7eVcR/yNKmPsQOdfCyOvue7n/FFbU+x/MaCNuB/SI9h5zrqD6iNNo8WbnY+nC9B7Petj2wdbKo66wp3+b1VNttIfEJ53NyFuBvZpD/kU7NPubP6n3uajSFelkkVcym30CCM+eerstnqcj+pKpPU1zt9p/HSoQ2kd/Y2fts+nL03nRh3qUJrCD0iz2XX9RPNsqJNuAjZSqpnN29/8fsu39SIy+qMRTV+Apn20Ty2fuvV24KdG09okpgfQ4/x+u7flk9yj8bPbOoTnRMPFe6n3W2aV57H2tGoUw+tt3rRtve9LG2y+dZsH0Fc/CuVpy6xiaTppMtl09k/4US8+Y4/wKv9UZpbdL2qfCGGnPLNwX/LhxZi4nnqeziNmJ4uEXcWJ9jQGZvV+P/2omn36LFby2lzbmfLxz1PJbowYY2TtE2MSUrZvRvBLCRmRxMhrOefUJFJawz8liT1cjvYQtb9+VP22/GiGLbcCHbkPhHJ71tDz1+Kzl8Dg9PLaZDMN/xOi8iji02t4Howo3OV5b3I3SQL2aX/9KLcO8Ldy09OV+0DsmS42fyg/LAiupD0oSVUeptRTQFM0rAqYPXwq+ytP63yaSk5dWhNXkC4Wjwldf4Cgkzy5dEJDZHhw/kSk4jy/ifIFCRRXxL9gkVzg12ge75mLt7dx/k37lAU2oxnaF4mqCff9ICKEhPgJLlFEViQt68eYgO1RdMmCkERRuqKc+IG0DwTOB7vgHewJVSVLuHj/dNRH9unxYN37R5EXIYGmFxexpqvDwtLapz2kqbVP270tAWYn0JRQLQ+nuf1/wz5tAymwH5gLN//lR4RlG34UuySFbKms5fdgLbG6wZZ92gYCIBXwaZpk6ZFISgvx0+c4X8yMylXVeQ3MN1lq1m7QfvzUxvqAT1m4Ty3V0UY+ihmw07T29F0ZXmRSV9ZKN2g/fnoRFnzaQM19yo96t7XW7Lowfz1dijCBl++08W/Zpy3A8mmjOD/K0z/ub8puwzRgyJUFTa+y8gOw0I4oxzNj2z5tAcCnqPcb4BN1KCwdS5nFgpG5yikS1dw65gwVXWRdqqkzxE9DY/X+cXxG76fjHBy7nLBf4JoYfuV5dO4ax2OoNDcditQz2Keg95vmo/5Q70OTj8zUMqcV2iTHjWnZ+i8SEK9loKIDtG+fnsSnf6D3sZOMSOMiNlPQNCqCX3WaThr9gvMA7dN2x5X0weY/Z940zTAeqxazfJbnKxaMRlEU/wdE1bajF+Im/5F12PbPJE/LKOBBWL1/Mp8SrvVSU0WCNAh+sYxylQaSe97v6kGK6HXtVrFfrbJMA7Sfj0Jb6gS9f7ItFRmlZso4E9Q33hsNn8liuZDxwx7mFGQctss0R4G2VNt8qq6a6/3TjWMmxKUQwsUZ2dzzFoHI+CIOzY/dR/kcKfr09TRt2d/3I+U11vt/Gj9df0l6Ho/A1FiM2Hw6djtrINSTX0/Ttv2oEfBpUz/q9ynyFPOvbrWEL6Dtz8Jw9kaJMHvcbD/KNSbGvhKWT916SxCxMqFbP4wT9b6Ik61nxcj1LDdPIsw9nbEbDv6T+6SEL+JZLr9WoqLeb5dPwRN/GDU6JfDpSfVSaa63ZP/tnc4JEAwauJexNPf47sMUmdbJn0mYPwTo/bb9fWykzSR0pn+fovdF7l1vZLTZ6w/PoHUdAk0TlipP7xHkKfe+NlC1a5/azvzBbRDgv6p8hBW7RQq7w6Dae/sKO+zO9PCT8d1Z4W9VmG71fsObxcuTnG+qcBbl1DpPhL55mS+k/mFLDpiwoX7765gfqOXXdmvd9fdZnGPnengpdU0qvkgzlSt5LcGFycs4+surzLEfvpTw2ergz2aR7bKPAwXEVSAO9H5T4/jXOF+o3GwKxhdxnVvnKQKTP2E+UXdW4Ibws+LHi0jeKZMJFqssaDeVcRhon24OSYIFEBpdFXT3KmXDnuBnT6mmuNt1/XsOJLQ5Dfso7JTi0O9mCZ7OnjMvjdcT/CiGtRfURFsu0XP0ZBkT5WnyAkfZeiI/hsuYMMjw1+UjlpKvndUBaPq0ecXLehVPZbw/Yo6iRBlTJ/VDzeuh7BOz1X4WelwSP1k25VMxhkeqxzukcT1ckE+ljx1e7A/L3jwvH0f4GDEK4DfsBtMW0D7dbLSgPdcoDU3f5n1KOJqiJer2AEx66JfXvr8sYx0n8Ck4SnDZDz0Jy6fVI/Uz7b3lTxHyqXdVXm2PdXsmoH26ySpgRcPPL9o+rUK7bPxDe1dut003AQRG3KycgH/yYAN7QaZ5gwOvtKoc1+ZxfhbBr/rYOxsVfFpipLQHTyvEejrtIoAsHT00lN2fxcOu3idSZkn2lEmZjNdDa6Q3mcwyu1uWFi0L4vLYJAsPN7Aoga8n8O1xVN4a8mlT3/QRftX4Q39ohHy6vj48aw3PGITwWxUBDM1s3sxj/jSsH7WpXHwfBJD//MIumF//BGt2/Rd4+2vBiccV40XtKTHbBJwQT1CMLFUg0ZOmeh+uWrvsNiyf1k6Mmb8cngAqK8enK+3tCwecAyhPv6hJ7OAEeXoEW3x68ZJ53gJMFgKNPyv2w551IuC8aD+/z0Rwuy5LP4isAZ++i+DyqCm0zafwtLwFYSzmtBRt4NwUI76dH637++x2fHfXrLimEZ+KTKkdwm/3DiAT4FO3jrBtP34yJq5CD4I07AX7ebQf54/QOm+WYWtin/4EG5hvPqKXgMSb9NkjT/VM3k1VJyMstp6P8lMgwgl1KEf5FB7RFk3ThE8WGw/DylO3jni81ksl8zfV6q01heXTI+V3p4HJt8qAPQywzQ/bp++CjGJF86R+kBjJfAHCUdaGUNvl03uqkplWnYxe1TqfgrfN1y7tQRy1T59jzrmKXzeOIQut4shoatZdBdGPqtn82PapydRSHZMsZ0H78vQiNdPmdSiHL56AAZRsPfKxRpsoo5NkHXpFPq0f50tKZayu8k5oSjhve9weV9N7HEflqY9FOtsGUKaXY18oHrO1yEJ5Kt06QlxTfp0pOu+Eprv+/qcRKdp0nInlET7Npt50s4s1E6DSlTSbw7ft2KcZ1bmUKutE77fuR/kgy4D73NZBAJ+CMD/Ep+j8XP1XZ3oXtgFboJ552rFPQabrPFk1MpNbB9C03XyUn860aVj9mWl+hE9tLFGN1uonVNqjWB21Ya7t8Gm8AMofjj6eD63rfYZnxP9VqciHOC5PMyCeN6XytXKcCL2iEmPhszqfbvv7yKcYfXSbdbyzho7zn2M3H/VJ+CRHtcJiY1bH2ORoPorkFHtWLkxSBggJeO3iFzyMpF5evmOfAk2v9o9V7UfZuRN+KE+3LtHgigeI5fgUvSlTZqg+SFQd96NsgXligDfLIugbmqfsVXG50a635SlIFQxKu40NPCb03N1SUO+7+Kn/aFvYCysL4wEvVUthteAQ7sWtfYkeLKYB+zEFzskLT8eHo/fnLY76+89CBEX9rnbmJ+GTRM7zrXGot/kUzqyN6wm/BQYfZX/aMaMZgKsKHcXC1TgmhDzEWdXBgLEwzlawk5A4HseV5mEki/HYOI6roH0Jnyz4iqVj5QaKZynBTMC+gsXjfFrgNVM/JorYI4n2NOdmK8Rk7dPq+foBmXG1bxAGACOKz87by7WKnwpwPTSd0N8UHEbnJr+EklPAZDLBv6YUYUJp3An79GzbEgU+5Te3RpGYFzR9yuG8lG747A4N81Ev4jLKOLfB5QhaOTfb9Nryo2I+/bhKAixcmn9A8HZQ2acoAB10GaX2Q4UDSJSovGdM/TrsePZ+OOMkojyNFj8eQKiIZGkP3KOED/Mpq1cIPRP+ZgVmmtypTVmKsP4+rvj4yzHvfUhmPp25U1pln4KqLBPLa29doE3iULMlAxBwBbTaKfpKFc1uuEqjYsYfVnRgeNuXTcD60w9FmyDh2vkEzacd0W7T3bC/ze9bcgZYY3SEpmN6XppW9im7vMlkYl/r4pvnNJYJAHbKjFQ/89dK2t1Jku3OWRBg7yR5I2K6sL9cRHDeZF+fBeDTj+eQYcTUxIWIJ9QllvbB6n38WCRGRuxp6uU7z3qNbJlvF7S0ilpcClOT/vNmfhJ3PD/DeyttiZuIjcRqAWx5WM8fl9yAudL3vXxhx5lw69sAv16tTVB24/h0P6zeRzKl+RsI1hhcggMRh0wXT/tcsPbpcSXoN+iR64A01cAlY+DTDwxTBytPP2j778LoWqQO+LQsftiHKn5aCIEVyPkDNAWRc26aHjYRT8WLL703bHkx/X3slx/S+ywD696tw1bMdd35XAMtWN/V9TEfC5NMlNH7XTm/RsxnZ9X7rfv7KE9/IKVQnh5OyiCffmgpsvi+FqUX49/7+ZTFd7NMhAtbJ00YrtCZMvGunF8jkvHBGsTPov04PzNTGwq+oUdnTzzY3/RG1/j0MqNVZ/INYG0bD7F7++pxpcLADjm239OvwI7UH38WaEu1G7h9VDpD3gMddYSmwKcH5osm9bYPRNvPp4+YpR0FkueRMJwURYlH0lCgYN3aeQA03ao//QR8lo7IaI7DaLBUYjmt++ADfNjvBJpxlOWV34Y6Kr83BLtDbAHELlWEGOxzlpgwMOj37Q3ybQB+aXq2mF+r85sKuDee28EP02t6JN5cyNO9fhRLDV2ougf6zOKcg5+/Y+X6RCYxSSb6KgcD2hfxtTTXB3S+AyPX12fT/a3K08CAyzS1XBLxt+NJqY/6m7IV6PEtG5Jh6H5PfQtLgzS+g+vamnY/SMMwqodW94NJuq6tbRsoT1t7XjYOUMg9MtkfZq/D6v1tYY6mwiO6xDVpaiHu9lqdIBwZFlHDhW2GFbYb6HRUbYdcrU8B7dPW+puGqCHeLE1HvFYP/RF28vsMrU0cRQJOtD1XGI6pvL8Wwxamlw+zGZCmWEx5FqB92lrbD7G+v7i1h4m3PFaEWchTt4FgaTzOsvAFbNxdmrLkbV83PQDQFMNn9zduuwHEHKyD4yLiz1DFT9tAiqHBK+vv4HyU6lj6dDvOLyQoosV1aPsUzLbaPg4jur8Wgz1xHA9lsl1dcQDAp1fyXJ2mUJ62x6fWOizaPnjgsyMzqO3o/cK6XJALhny687OCfH8Npmv7zYpfCsBD0y37Omu0S1Prxdj4EdL0aPRn298XdpBgCjRFFbLzs9hsTbZ6RhloiiFaujlUz8FrwwWO69A/BcrT1vyoIMkXPLfcmaoFT44YK1bvr/mUiTG/ojw3JMBee3xlBzorPwvC8GnidJQvwlVGKpf+EkdDAUEuK1nji4gQHBK3bCgixXFwcTzc4pBHaPsqBrMrdM+GpXak3OqCn0Gr9incK8Cezk/T9fCZH2FT7z9mvzV/gvuMJfKd5otFRSVGzI8FnzqavpM552tvKXDjy63LtNgTPFxAdXZ8xAvEvHjONiD5+wfsiAuhag/gi1bS1ND2W45LNcemPPUZtHy0GdnTxJIIYDNaiNvE7nMFPczWp1TV01Uq7a0UDSg7EJXjTwqqAyELy6E8wHMjVF3Edggw7+oEmfwh0D5tzd8/FZv9TrDzMApMZ8Ij8qiIFvo/i8SY41NbuuMtSppW49xXdZVl79Z1VhLEu4XTctiJooArC3i4t1sfd788AVvxU/Y4isfVq2IiNBzLfVXrEKTauZPl34KfYn2AW0hZ617j02c4IJYzzcGwCyTV3Ji5qXVLZ6+ZArjxIl/CTOWz6nGIsZnPzfxuXnV38Qn2fofvl7eWZmquDLyzorjaJ7ABuDOOiKmEw+flBT6HbXkamqWuUFl8fgZbyynuW7uyRFWHHnWdY+qOBOSVfq7Zp3AAJ1GuTYDjqOmM/RI45lH1uF+CKLytdBbqoNpI6j+L4ZGK4hgLX4Dff5v+WgsWOOCnuLwNyuf5U6QM3bbyjHBAWrveZ4C2VO1E/siaMyXKzoQ4ilOJMtX2jMWhDvmRcEkxV0+J0oesy9PE86aRmIGf4IflWEolQfZi8+7h0PfDx38hUJ7W/H0/xWz8VQHPFj0iXgrxg/t0lRKOUUYVB6rwiEiOtXdlj4WvVGdY9zthLJl6/BWUDfgJYOVumZrfDFvy1BcxChojQULdmZp8gr3GmDsQShVLRhJFEsqx7fKlHfgP7qxmruaydNqtfYrjnzKCY4BkAvyoPPJHQNMT3My/Dzv2KQNJ9Rqm6StKrIraDIdrj1I0o6uj/SB8iF7BmH44pqIuLn6FcNYAbFb4Slp1WirzUanRixhOnC6QT4FbvzdNt+QpwNYpYZ0De1mLfN9n2Mmc+fW4IGzYbubw9xhwYqkXLLzAg8vTWnkK32XRAqweWAmBppGPY9KeEGL6+wA0bXtec99/bKg/s3s7H5/IaDFtD0jSBWGpme504PlWaDUfVcAPVs1CsthD5QYuDt69zpD/A0P5OHyi3vJb66gtvd8CnkWcN+0fRTl5fomMvi9Ky9kILG+Ze1eLZt//S4HytN227xM1bTyuZJ4Cc06riBLWV9Opt3DezjeF5VO33hJwzthmbrOkKmAr+lYbhvIWA0bXxyZK+bsBNG0vH2XhR+qqaX9TakRqNqtBx/qbW1JnafvgrzcbTxpoqtLI0I1SHAI0/daWlPWjWq6XOmF8/kTnT+C31Z0ONl7qY9GDvx2txvkLNJ9HItNLrgypJSzSbFbUBn1nbPn7LeCE8flxrEKa1UOWhE4bjpv8F8Pm91u1T5vL04unqefxpD5mSUTfup2nqA2cQUcFwKfNdFT29kZNraKZBQldtGyGdIAz2Kdpsmw8j8RSkVoruZWcylbSwZ0C5ekZdFRDP2qqN7pMBpNyaNVvDZCnLbd9DDM11PsJjqjp1hEp7wVN0Y+q3wW7fSCERKOIRISs1jOFssdoFRf7i2WjS7SATezqwVJCRIo9o1ga2RS3L4jtQb1vxH5f3tfr+lgETb/MY35noDyt3+7PGKfRxryvUv/xtTnuR9f/UbffgtN1b25wR/mEmtFjer3Ix+nDD/4gEmXJJW7UhC+w4mcP/8V3dc9eGE3rg5t9W2zn98M5FmRcTeGF/6suhsJl+fRVsWCursxA4/hEsE2TMSYI88jOFZ9rHLeA4TDEiOnGkAUF/JTUc4MiP1619i2A9ul6DIgXnFTHwvWRroJ2xTyisLdYLIpqs4uL91us4/e0snMN6nE6/zEKuYfDjb64Od68fX3NgaoVSX0f++DVepp8Y6B9WuMNnFDL00vK6YRSb7qe0fYxoUAu+hv247gJE9yq0qrM9tHnGZELrf/Lnha/CVlQ/NiP4HxXQPFjFpsYkUzfx986xlcCaLqRj2LE5MrYzuVGKVOpED9N8txI2F/0SJc5N+uGG13n+QJoKMZz8yTzKTWZSWyhYnE+lavRYWeNwNUmhzqJfiMQPtmMS4kwwnlNgssghbXKIPdZEEVhgBOewBv+RqQ22gMLRtEIjXURhmmivSlV5LLgOTAAojQKj5ShP49pTxQU4FNxqTVRa3i2dTxbw8AeAxbiXX3rxF4N2/bp5+FbbbY4SdswrFpvpU7xb4C1T/fy25/iOaae5icVyzMsbcy/f5DP4Qzx00jhcJEnaHDsXqpS0U6h4l+AM8T5U+MtG+VOKmBtj1vtA9qXpxeh0afUPPi+WHEtW42LdwuUp+3G+UE6Jhv5kCMAC1bN5KgX1n4BzJu2zKdYA3jCU8JeI0cGhvhmwLbf7Q1hh8hZX9STxYg3y3GeDxH39J6g1TcG4VU3o27AnuiV2jOQ5zfGA+fETVCKgP/Vsv22y/qPW8o37nWvaqm99i9pGsZmMY96pPQBEdd8niTGXKvibdy73N7ef/BtgZ0pCthd28dsvJXK5ze1cYF7ARy7QP/+re3shZ/FlfuPK9X6QWDUtWcUtalKz6sPHPvFmB4Zs+wvgs+CWxwY+9Bi/Wsc4K5LXCmMRjH8QQLfPzv6y34xcXhGAV+QLFuRYnjtj/4SUE6MVH2QOwKXKcMRDDrGAyE38Q05EDoXY8X5XY59gw/8UUrKWZHW7A44qC/oKvxJnb5mOeBQv+hw3jWpvikOFNCUGeUBJ+JAruE2y3H0/NOBmeavfP1tONCx6znAeqeIjA68Hkb2gOLA9QuW+lHnfBUXxDX7Wzr9U/yiQzpqwIABAwYMGDBgwIABAwYMGPBdcXHxP/Bx7H8sFZzWAAAAAElFTkSuQmCC)
Figure shows a stream of fluid emerging from a tube in the base of an open fixed tank. The expression of ‘y’ (Maximum height traveled by jet of water) is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVMAAAEcCAMAAABNm6f/AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAAKWtrSEhIbW1te/m5pSUjPf39ykhKTExMd7m3nNzexAICNbW3lpaUhkZEEpSUtbWzsW9xWtra721vUpSlLVSvYxSQrUZvYwZQuYQtYxSEIwZEFpSEJScnBlSnIRS74QZ7xlS7xkZnBkZ7wAICBlScxlSxRkZcxkZxXNza1pjY3uEe8XFzhmlY4QZlDExOuYQ5oyEjLVS771SQkpS7+bWOuZaOrUZ70oZnL0ZQkoZ75TvpeZCtb1SEL0ZEOaUtUpSxebWEOZaEEoZc0oZxZTFpeZrtebWY+ZaY72M75SM772MxZSMxaWcnErvY72Ma61SlEqlYylKELUZlOaUhOYZhAhKEOaU5uZC5ntSjBApQuZr5oTvEITFEBnOEBmEEEJCOubWhOZahFopQlopEIScEFoIQloIEIR7EHNSvXMZvWvOpWuEpSnOpSmEpUrOpUqEpQjOpQiEpUpCSua977XvELXFEErOEEqEELWEnMXm3ilSQrWcEOberQhSQrV7EITvMYScQoTvc5zv74TFMYTFc5zF7xnOMRmEMWvO5muE5inO5imE5hnOcxmEc4QpcxnvEBmlEIR7QoTvUpzvzoTFUpzFzkrO5kqE5gjO5giE5hnOUhmEUoQIc2vvpWulpSnvpSmlpUrvpUqlpQjvpQilpZRSvZQZvbXvc7WcQrXvMealOuYpOua9xbXFMbXFc+alEOYpEErOMUqEMUrOc5yca71Sc0qEc7Upc+alY+YpYxkIKUrvEEqlELXvUrV7QuaEOuYIOua9pbXFUuaEEOYIEErOUpx7a5xSc0qEUrUIc+aEY+YIY2vv5mul5r3vpSnv5iml5hnvMRmlMRnvc0rv5kql5r3OpQjv5gil5hnvUhkISkrvMUqlMXOca0pCa2NSOntSa+b3pcW95ub3Qub31ub3c+b3EDEhEO/ezu/W7721nGNKUgghCCkICAghISEIAL2tnN7m99bW74ScjPfm95SljOb3/6WtlN7398W1tTEhMQAIAP/3/wAAAPl8/xoAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAeIUlEQVR4Xu1d31KjPBSXpClNUpNCuObOGwsz3/AgvkPfgTv30fpGO844ujp2XJ3vnBAo/WNLVyory69UgVIoh5PzP8nFgAEDBgwYMGDAgAEDBgwYMGDAgAEDBgwYMGDAgAEDBgwYMGDAgHNDkDgen/iKmPvygH1gRC2nU33CoqfLeeC+PWAvbhbeyVik7ssDCrBHtsZPQeb6anp1Ajz9Nhvhdx8HCeAgYmWSJE4yWJ6SRCZSGqPmzWHmykj4mlFZ6M75ryPNPU8vKb2Hl17q5SIZpRHgoXgfW16jKLwxXOsrOE3szvmvI9ySn1oyHxryy3Px5+gCB6dGF999cuf8NyGiMLRLFKulvtfAobDc6zdNk5PF4m3GrzR8mUp7xtfbf1KwsoQvitdCKbPGXT7LIndMc7DI5CBTjVI5npObyHef/Bt4sTyEQtSBJsBcUTSCP7DEJP0DeogoHsE5iDurNiF7cR/1H76IRpEQ6ZgXdw/IiV8D+7NmC6IXvixMec6EpME/IgDYKMOmjq3UNXYjY2E/8i98WOzqnyMqzqkoB/vsH/EDWEKBi0BJ0xiNdIs2RR8aDACSv3lTOnI7+wsfBSnLkKaIs1qSt6YwVgvZ3V+IEYmCNFaTezSbOHG7zwIxzqlW8WsU9puoDyqfKSWz+CZexfFNIUTPBAZ2QJyZWS7PepnOEUNzBIW8+irOYQRMi0W/Y4DxFGl6n30VTd8JiG5+6bb6B5ZGkdFXdJEb8nV8ahb/mRV4AmEvXdXULDj18ixK06/zb1iQpnGO7m/yJ67Z347IWlDm6xXGyMar8lEPGTVET/RNuq0vRPEw8y8TOF+IiGpu5CqKx9k4expn8ZndRpYSvMw4zuS15G/56pf7oEcIOZWCEUU1YKr1ZOw+OBPEU46XudIqZUxqHveQTwldhKU1ZZG5D86E1LhL/QBiZuC09dD0JxyTxZlLcAASdsF8/6XtCIoP53sGJ//VuLBCjpe9n4x7SVMOfEpyaI0TDvgvC9MQQGIi2rOt/ICsSASnTYnM+YQvp1oBMbHt95CmEZ+s/AsRm9xkSSazJHFxTt6qD0Dm+QzOem2upUwSKZXKgJiZpv3kU4pq4meapoEQt0EqqYX2eNKiRx6jCsTzcrW6FCnY/AKuKvXvWLy7Q/qDiNPxo1u/gNt7vgZz1Qo8bT5hVvlbwjizp0SoWigx6TWfVmBzd+8elZt86ovmt8/Eps/JEndS717WnhTyaQ9DKcCnKNkqCKJKmIzckHgVl+8MHIKGIlbEclz7JonlXClYlJIPtVMky57q/U0+fReAW3EpRKysYF2Wf5cgEJuGA1OFJUE1yBROCScVG8aE1HDxXsrTDT5Fofr+jvcZrvP8FUxDm1Ws89kFVLEfzl2sWPhg829dvBcYbfHpGmFhnYPbY5c37w0ocFtkP48hgucBmg5dpuKdPbuz1uFb+7R/fAo0/YBVRPSUbULKa5mgeXl0kYn7Son9FT2g93vKp+OPhORzUX9S4AI8g9UecbAXNMJCi/Vr27Ry6DGfNg3wv8fbYvIj6GbFalL3Vu83vS2ws5waP4x7rZpVRQNNe+pHNc6XvgcEbNQYrNZDSzzOykKrY0D7tIc2/yl8enHxM0A3/QKU+MfLMwtEM+Yr9L7b6BHQ32/9tpo2557GpT62T88P5NNxD/NRH9unX4Ckv3q/Qz7trd4XDb341tHTuFTX8rSP8dNO5Wm/81GdoK/y9BR/v3X0VO8DTT+MS50bvbZPB73fKjrX+z2Vp4Pebxed6/2e5vcHvd8uUO93dVt91vtdtf0+16F0yac9jUt1xypDnL919FXvd2qfDnH+1tFXvd+tfdpbf7+z2+qr3u/UPu2xv98hn/bV3++OVfrr7w96v2VY+7QrNdFjf79LPh3qUFrG4O+3jr7qfStP3fqXY/D3W0ef9f7g77cLoGmndSi9ze8Per9VDHq/fQx6v30Mer99DHH+9oF6v6vb6rPe76rtD3H+9tFXvT/E+dtHx/Zpf+P8bv3LMcT5W0df9X6n9ml//f3Obquver9T+7TH/n6HfNpXf787Vumvv9/Z0I591fud2qe99fcn3cb5e8mnvLspRxL9u598yk+fXLctoDz96dZ7BOBTO08k+/IXIMOx5HGlXxjxqYmYSAHh173DNAwEewQ+7eVcR/yNKmPsQOdfCyOvue7n/FFbU+x/MaCNuB/SI9h5zrqD6iNNo8WbnY+nC9B7Petj2wdbKo66wp3+b1VNttIfEJ53NyFuBvZpD/kU7NPubP6n3uajSFelkkVcym30CCM+eerstnqcj+pKpPU1zt9p/HSoQ2kd/Y2fts+nL03nRh3qUJrCD0iz2XX9RPNsqJNuAjZSqpnN29/8fsu39SIy+qMRTV+Apn20Ty2fuvV24KdG09okpgfQ4/x+u7flk9yj8bPbOoTnRMPFe6n3W2aV57H2tGoUw+tt3rRtve9LG2y+dZsH0Fc/CuVpy6xiaTppMtl09k/4US8+Y4/wKv9UZpbdL2qfCGGnPLNwX/LhxZi4nnqeziNmJ4uEXcWJ9jQGZvV+P/2omn36LFby2lzbmfLxz1PJbowYY2TtE2MSUrZvRvBLCRmRxMhrOefUJFJawz8liT1cjvYQtb9+VP22/GiGLbcCHbkPhHJ71tDz1+Kzl8Dg9PLaZDMN/xOi8iji02t4Howo3OV5b3I3SQL2aX/9KLcO8Ldy09OV+0DsmS42fyg/LAiupD0oSVUeptRTQFM0rAqYPXwq+ytP63yaSk5dWhNXkC4Wjwldf4Cgkzy5dEJDZHhw/kSk4jy/ifIFCRRXxL9gkVzg12ge75mLt7dx/k37lAU2oxnaF4mqCff9ICKEhPgJLlFEViQt68eYgO1RdMmCkERRuqKc+IG0DwTOB7vgHewJVSVLuHj/dNRH9unxYN37R5EXIYGmFxexpqvDwtLapz2kqbVP270tAWYn0JRQLQ+nuf1/wz5tAymwH5gLN//lR4RlG34UuySFbKms5fdgLbG6wZZ92gYCIBXwaZpk6ZFISgvx0+c4X8yMylXVeQ3MN1lq1m7QfvzUxvqAT1m4Ty3V0UY+ihmw07T29F0ZXmRSV9ZKN2g/fnoRFnzaQM19yo96t7XW7Lowfz1dijCBl++08W/Zpy3A8mmjOD/K0z/ub8puwzRgyJUFTa+y8gOw0I4oxzNj2z5tAcCnqPcb4BN1KCwdS5nFgpG5yikS1dw65gwVXWRdqqkzxE9DY/X+cXxG76fjHBy7nLBf4JoYfuV5dO4ax2OoNDcditQz2Keg95vmo/5Q70OTj8zUMqcV2iTHjWnZ+i8SEK9loKIDtG+fnsSnf6D3sZOMSOMiNlPQNCqCX3WaThr9gvMA7dN2x5X0weY/Z940zTAeqxazfJbnKxaMRlEU/wdE1bajF+Im/5F12PbPJE/LKOBBWL1/Mp8SrvVSU0WCNAh+sYxylQaSe97v6kGK6HXtVrFfrbJMA7Sfj0Jb6gS9f7ItFRmlZso4E9Q33hsNn8liuZDxwx7mFGQctss0R4G2VNt8qq6a6/3TjWMmxKUQwsUZ2dzzFoHI+CIOzY/dR/kcKfr09TRt2d/3I+U11vt/Gj9df0l6Ho/A1FiM2Hw6djtrINSTX0/Ttv2oEfBpUz/q9ynyFPOvbrWEL6Dtz8Jw9kaJMHvcbD/KNSbGvhKWT916SxCxMqFbP4wT9b6Ik61nxcj1LDdPIsw9nbEbDv6T+6SEL+JZLr9WoqLeb5dPwRN/GDU6JfDpSfVSaa63ZP/tnc4JEAwauJexNPf47sMUmdbJn0mYPwTo/bb9fWykzSR0pn+fovdF7l1vZLTZ6w/PoHUdAk0TlipP7xHkKfe+NlC1a5/azvzBbRDgv6p8hBW7RQq7w6Dae/sKO+zO9PCT8d1Z4W9VmG71fsObxcuTnG+qcBbl1DpPhL55mS+k/mFLDpiwoX7765gfqOXXdmvd9fdZnGPnengpdU0qvkgzlSt5LcGFycs4+surzLEfvpTw2ergz2aR7bKPAwXEVSAO9H5T4/jXOF+o3GwKxhdxnVvnKQKTP2E+UXdW4Ibws+LHi0jeKZMJFqssaDeVcRhon24OSYIFEBpdFXT3KmXDnuBnT6mmuNt1/XsOJLQ5Dfso7JTi0O9mCZ7OnjMvjdcT/CiGtRfURFsu0XP0ZBkT5WnyAkfZeiI/hsuYMMjw1+UjlpKvndUBaPq0ecXLehVPZbw/Yo6iRBlTJ/VDzeuh7BOz1X4WelwSP1k25VMxhkeqxzukcT1ckE+ljx1e7A/L3jwvH0f4GDEK4DfsBtMW0D7dbLSgPdcoDU3f5n1KOJqiJer2AEx66JfXvr8sYx0n8Ck4SnDZDz0Jy6fVI/Uz7b3lTxHyqXdVXm2PdXsmoH26ySpgRcPPL9o+rUK7bPxDe1dut003AQRG3KycgH/yYAN7QaZ5gwOvtKoc1+ZxfhbBr/rYOxsVfFpipLQHTyvEejrtIoAsHT00lN2fxcOu3idSZkn2lEmZjNdDa6Q3mcwyu1uWFi0L4vLYJAsPN7Aoga8n8O1xVN4a8mlT3/QRftX4Q39ohHy6vj48aw3PGITwWxUBDM1s3sxj/jSsH7WpXHwfBJD//MIumF//BGt2/Rd4+2vBiccV40XtKTHbBJwQT1CMLFUg0ZOmeh+uWrvsNiyf1k6Mmb8cngAqK8enK+3tCwecAyhPv6hJ7OAEeXoEW3x68ZJ53gJMFgKNPyv2w551IuC8aD+/z0Rwuy5LP4isAZ++i+DyqCm0zafwtLwFYSzmtBRt4NwUI76dH637++x2fHfXrLimEZ+KTKkdwm/3DiAT4FO3jrBtP34yJq5CD4I07AX7ebQf54/QOm+WYWtin/4EG5hvPqKXgMSb9NkjT/VM3k1VJyMstp6P8lMgwgl1KEf5FB7RFk3ThE8WGw/DylO3jni81ksl8zfV6q01heXTI+V3p4HJt8qAPQywzQ/bp++CjGJF86R+kBjJfAHCUdaGUNvl03uqkplWnYxe1TqfgrfN1y7tQRy1T59jzrmKXzeOIQut4shoatZdBdGPqtn82PapydRSHZMsZ0H78vQiNdPmdSiHL56AAZRsPfKxRpsoo5NkHXpFPq0f50tKZayu8k5oSjhve9weV9N7HEflqY9FOtsGUKaXY18oHrO1yEJ5Kt06QlxTfp0pOu+Eprv+/qcRKdp0nInlET7Npt50s4s1E6DSlTSbw7ft2KcZ1bmUKutE77fuR/kgy4D73NZBAJ+CMD/Ep+j8XP1XZ3oXtgFboJ552rFPQabrPFk1MpNbB9C03XyUn860aVj9mWl+hE9tLFGN1uonVNqjWB21Ya7t8Gm8AMofjj6eD63rfYZnxP9VqciHOC5PMyCeN6XytXKcCL2iEmPhszqfbvv7yKcYfXSbdbyzho7zn2M3H/VJ+CRHtcJiY1bH2ORoPorkFHtWLkxSBggJeO3iFzyMpF5evmOfAk2v9o9V7UfZuRN+KE+3LtHgigeI5fgUvSlTZqg+SFQd96NsgXligDfLIugbmqfsVXG50a635SlIFQxKu40NPCb03N1SUO+7+Kn/aFvYCysL4wEvVUthteAQ7sWtfYkeLKYB+zEFzskLT8eHo/fnLY76+89CBEX9rnbmJ+GTRM7zrXGot/kUzqyN6wm/BQYfZX/aMaMZgKsKHcXC1TgmhDzEWdXBgLEwzlawk5A4HseV5mEki/HYOI6roH0Jnyz4iqVj5QaKZynBTMC+gsXjfFrgNVM/JorYI4n2NOdmK8Rk7dPq+foBmXG1bxAGACOKz87by7WKnwpwPTSd0N8UHEbnJr+EklPAZDLBv6YUYUJp3An79GzbEgU+5Te3RpGYFzR9yuG8lG747A4N81Ev4jLKOLfB5QhaOTfb9Nryo2I+/bhKAixcmn9A8HZQ2acoAB10GaX2Q4UDSJSovGdM/TrsePZ+OOMkojyNFj8eQKiIZGkP3KOED/Mpq1cIPRP+ZgVmmtypTVmKsP4+rvj4yzHvfUhmPp25U1pln4KqLBPLa29doE3iULMlAxBwBbTaKfpKFc1uuEqjYsYfVnRgeNuXTcD60w9FmyDh2vkEzacd0W7T3bC/ze9bcgZYY3SEpmN6XppW9im7vMlkYl/r4pvnNJYJAHbKjFQ/89dK2t1Jku3OWRBg7yR5I2K6sL9cRHDeZF+fBeDTj+eQYcTUxIWIJ9QllvbB6n38WCRGRuxp6uU7z3qNbJlvF7S0ilpcClOT/vNmfhJ3PD/DeyttiZuIjcRqAWx5WM8fl9yAudL3vXxhx5lw69sAv16tTVB24/h0P6zeRzKl+RsI1hhcggMRh0wXT/tcsPbpcSXoN+iR64A01cAlY+DTDwxTBytPP2j778LoWqQO+LQsftiHKn5aCIEVyPkDNAWRc26aHjYRT8WLL703bHkx/X3slx/S+ywD696tw1bMdd35XAMtWN/V9TEfC5NMlNH7XTm/RsxnZ9X7rfv7KE9/IKVQnh5OyiCffmgpsvi+FqUX49/7+ZTFd7NMhAtbJ00YrtCZMvGunF8jkvHBGsTPov04PzNTGwq+oUdnTzzY3/RG1/j0MqNVZ/INYG0bD7F7++pxpcLADjm239OvwI7UH38WaEu1G7h9VDpD3gMddYSmwKcH5osm9bYPRNvPp4+YpR0FkueRMJwURYlH0lCgYN3aeQA03ao//QR8lo7IaI7DaLBUYjmt++ADfNjvBJpxlOWV34Y6Kr83BLtDbAHELlWEGOxzlpgwMOj37Q3ybQB+aXq2mF+r85sKuDee28EP02t6JN5cyNO9fhRLDV2ougf6zOKcg5+/Y+X6RCYxSSb6KgcD2hfxtTTXB3S+AyPX12fT/a3K08CAyzS1XBLxt+NJqY/6m7IV6PEtG5Jh6H5PfQtLgzS+g+vamnY/SMMwqodW94NJuq6tbRsoT1t7XjYOUMg9MtkfZq/D6v1tYY6mwiO6xDVpaiHu9lqdIBwZFlHDhW2GFbYb6HRUbYdcrU8B7dPW+puGqCHeLE1HvFYP/RF28vsMrU0cRQJOtD1XGI6pvL8Wwxamlw+zGZCmWEx5FqB92lrbD7G+v7i1h4m3PFaEWchTt4FgaTzOsvAFbNxdmrLkbV83PQDQFMNn9zduuwHEHKyD4yLiz1DFT9tAiqHBK+vv4HyU6lj6dDvOLyQoosV1aPsUzLbaPg4jur8Wgz1xHA9lsl1dcQDAp1fyXJ2mUJ62x6fWOizaPnjgsyMzqO3o/cK6XJALhny687OCfH8Npmv7zYpfCsBD0y37Omu0S1Prxdj4EdL0aPRn298XdpBgCjRFFbLzs9hsTbZ6RhloiiFaujlUz8FrwwWO69A/BcrT1vyoIMkXPLfcmaoFT44YK1bvr/mUiTG/ojw3JMBee3xlBzorPwvC8GnidJQvwlVGKpf+EkdDAUEuK1nji4gQHBK3bCgixXFwcTzc4pBHaPsqBrMrdM+GpXak3OqCn0Gr9incK8Cezk/T9fCZH2FT7z9mvzV/gvuMJfKd5otFRSVGzI8FnzqavpM552tvKXDjy63LtNgTPFxAdXZ8xAvEvHjONiD5+wfsiAuhag/gi1bS1ND2W45LNcemPPUZtHy0GdnTxJIIYDNaiNvE7nMFPczWp1TV01Uq7a0UDSg7EJXjTwqqAyELy6E8wHMjVF3Edggw7+oEmfwh0D5tzd8/FZv9TrDzMApMZ8Ij8qiIFvo/i8SY41NbuuMtSppW49xXdZVl79Z1VhLEu4XTctiJooArC3i4t1sfd788AVvxU/Y4isfVq2IiNBzLfVXrEKTauZPl34KfYn2AW0hZ617j02c4IJYzzcGwCyTV3Ji5qXVLZ6+ZArjxIl/CTOWz6nGIsZnPzfxuXnV38Qn2fofvl7eWZmquDLyzorjaJ7ABuDOOiKmEw+flBT6HbXkamqWuUFl8fgZbyynuW7uyRFWHHnWdY+qOBOSVfq7Zp3AAJ1GuTYDjqOmM/RI45lH1uF+CKLytdBbqoNpI6j+L4ZGK4hgLX4Dff5v+WgsWOOCnuLwNyuf5U6QM3bbyjHBAWrveZ4C2VO1E/siaMyXKzoQ4ilOJMtX2jMWhDvmRcEkxV0+J0oesy9PE86aRmIGf4IflWEolQfZi8+7h0PfDx38hUJ7W/H0/xWz8VQHPFj0iXgrxg/t0lRKOUUYVB6rwiEiOtXdlj4WvVGdY9zthLJl6/BWUDfgJYOVumZrfDFvy1BcxChojQULdmZp8gr3GmDsQShVLRhJFEsqx7fKlHfgP7qxmruaydNqtfYrjnzKCY4BkAvyoPPJHQNMT3My/Dzv2KQNJ9Rqm6StKrIraDIdrj1I0o6uj/SB8iF7BmH44pqIuLn6FcNYAbFb4Slp1WirzUanRixhOnC6QT4FbvzdNt+QpwNYpYZ0De1mLfN9n2Mmc+fW4IGzYbubw9xhwYqkXLLzAg8vTWnkK32XRAqweWAmBppGPY9KeEGL6+wA0bXtec99/bKg/s3s7H5/IaDFtD0jSBWGpme504PlWaDUfVcAPVs1CsthD5QYuDt69zpD/A0P5OHyi3vJb66gtvd8CnkWcN+0fRTl5fomMvi9Ky9kILG+Ze1eLZt//S4HytN227xM1bTyuZJ4Cc06riBLWV9Opt3DezjeF5VO33hJwzthmbrOkKmAr+lYbhvIWA0bXxyZK+bsBNG0vH2XhR+qqaX9TakRqNqtBx/qbW1JnafvgrzcbTxpoqtLI0I1SHAI0/daWlPWjWq6XOmF8/kTnT+C31Z0ONl7qY9GDvx2txvkLNJ9HItNLrgypJSzSbFbUBn1nbPn7LeCE8flxrEKa1UOWhE4bjpv8F8Pm91u1T5vL04unqefxpD5mSUTfup2nqA2cQUcFwKfNdFT29kZNraKZBQldtGyGdIAz2Kdpsmw8j8RSkVoruZWcylbSwZ0C5ekZdFRDP2qqN7pMBpNyaNVvDZCnLbd9DDM11PsJjqjp1hEp7wVN0Y+q3wW7fSCERKOIRISs1jOFssdoFRf7i2WjS7SATezqwVJCRIo9o1ga2RS3L4jtQb1vxH5f3tfr+lgETb/MY35noDyt3+7PGKfRxryvUv/xtTnuR9f/UbffgtN1b25wR/mEmtFjer3Ix+nDD/4gEmXJJW7UhC+w4mcP/8V3dc9eGE3rg5t9W2zn98M5FmRcTeGF/6suhsJl+fRVsWCursxA4/hEsE2TMSYI88jOFZ9rHLeA4TDEiOnGkAUF/JTUc4MiP1619i2A9ul6DIgXnFTHwvWRroJ2xTyisLdYLIpqs4uL91us4/e0snMN6nE6/zEKuYfDjb64Od68fX3NgaoVSX0f++DVepp8Y6B9WuMNnFDL00vK6YRSb7qe0fYxoUAu+hv247gJE9yq0qrM9tHnGZELrf/Lnha/CVlQ/NiP4HxXQPFjFpsYkUzfx986xlcCaLqRj2LE5MrYzuVGKVOpED9N8txI2F/0SJc5N+uGG13n+QJoKMZz8yTzKTWZSWyhYnE+lavRYWeNwNUmhzqJfiMQPtmMS4kwwnlNgssghbXKIPdZEEVhgBOewBv+RqQ22gMLRtEIjXURhmmivSlV5LLgOTAAojQKj5ShP49pTxQU4FNxqTVRa3i2dTxbw8AeAxbiXX3rxF4N2/bp5+FbbbY4SdswrFpvpU7xb4C1T/fy25/iOaae5icVyzMsbcy/f5DP4Qzx00jhcJEnaHDsXqpS0U6h4l+AM8T5U+MtG+VOKmBtj1vtA9qXpxeh0afUPPi+WHEtW42LdwuUp+3G+UE6Jhv5kCMAC1bN5KgX1n4BzJu2zKdYA3jCU8JeI0cGhvhmwLbf7Q1hh8hZX9STxYg3y3GeDxH39J6g1TcG4VU3o27AnuiV2jOQ5zfGA+fETVCKgP/Vsv22y/qPW8o37nWvaqm99i9pGsZmMY96pPQBEdd8niTGXKvibdy73N7ef/BtgZ0pCthd28dsvJXK5ze1cYF7ARy7QP/+re3shZ/FlfuPK9X6QWDUtWcUtalKz6sPHPvFmB4Zs+wvgs+CWxwY+9Bi/Wsc4K5LXCmMRjH8QQLfPzv6y34xcXhGAV+QLFuRYnjtj/4SUE6MVH2QOwKXKcMRDDrGAyE38Q05EDoXY8X5XY59gw/8UUrKWZHW7A44qC/oKvxJnb5mOeBQv+hw3jWpvikOFNCUGeUBJ+JAruE2y3H0/NOBmeavfP1tONCx6znAeqeIjA68Hkb2gOLA9QuW+lHnfBUXxDX7Wzr9U/yiQzpqwIABAwYMGDBgwIABAwYMGPBdcXHxP/Bx7H8sFZzWAAAAAElFTkSuQmCC)
physics-General
physics-
For the arrangement shown in figure the time interval after which the water jet ceases to cross the wall (area of cross section of tank is A and orifice is ‘a’)
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DII49AKBRCpVKBy+UiMDAQtra2BnNh6GPy5MmQSCR4//33UVlZiaVLl/ZpHJaGSUWmVqtBkiScnJx0LlZwcXHRO5U6OjrqvYShty4MDfqCCjkcDjw8PHSsquawSF+nS+BuOiqCIODh4YHKykrs2bMHERERWrsGf8TIkSPh7e2NpqYmvSevrA2Tiqy7uxsCgQAJCQlISEj4w/oEQeCVV17BK6+80us+/P39sXXr1l7V9fDwwNq1a/WWlZaW6oivN2gO/VZXV+PYsWM4c+YMUlJS+hz/b29vjzVr1vS5f0uEjfG/D/2xZAKBAFKpFB999BFKS0uRmZmJcePGGWF01gOb1ec+9Oc/BIfDgVKpRF1dHWpraxEWFjbg+5TXr19HUlKSzrrWUmH9ZAMMRVGQyWQYMmQIoqOjoVQqB/zCMrlcjtu3b2P//v0gSRKTJk2yaFeHxYhMJpOhra1Nr6Uz5N7Q5wrhcrkQi8U6+fI7OzsNXoBqZ2fXrxwW9461u7sbtbW18PLyQlxcHJYuXWqUG/H8/PywadMmpKamYteuXQgNDWVF1hvOnTuHrKwsvUJ47LHHkJqaquUTU6lU2Lp1K44dO6ZVd9SoUcjMzNS69QMA9u3bh/z8fL19v/baa5g/f/4Df4b8/HwUFRUhMTERM2bMMJp/SxNYkJCQgObmZr1v2ZaExYjMxsYGnp6eek8ZOTs7610f6XOFuLm56b31QywWG7yPsj+XvBIEAYFAgKtXr+LixYuYPn06ysvLUVRUhHfffRceHh59brOvhIWFGb2PgcBiRBYaGopdu3b1uj5FUVi2bBmWLVvWq/rz588fEGulgSRJiEQinD9/HsnJyXjzzTchEokwZcoUg/cymYKOjg7cuHED3t7eOpeWmQs2/PoBEQqFqKurw8aNG0EQBN577z2zxoddvXoVqampKCgoMNsY7sViLJm1oVar0dnZieDgYGzevBltbW2YM2eO2UN3XFxcEB0djaNHj6KxsRGJiYlmT8zHRmHch/ttLdE0je7ubnh6euL1118HANy8eRNHjhxBZGSk2baDfH19kZiYiPb2djQ2Npp16tZgMVEYmvLeHCQx5KYADEdhAHf3NcVisU50RUdHh9YLR88oDI3fq7OzEw4ODnr7BO66L3bu3Inz58/Dz8/P7HuOiYmJUCqVZrdigAVFYQC9P0gyYsQIZGVl6U3PaSgKAwBCQkKQkZGhsyDOy8vD/v37mZ81URgCgQB2dnY4ffo0cnJysHz5coSHh4MkSS0LJ5FIkJycjKamJiQkJOi4T8yBJWUZspgoDKD3B0nc3d0NWhRDURhA790bPaMw1Go1bG1tYWdnh9zcXMhkMri4uEAoFMLNzQ01NTXYvXs36uvrERsba7EHeo8dO4aamhq8/PLLRnEQ3xdTHSaw9oMkzc3N9MKFC+nExEQ6JyeHDgoKolNTU+ktW7bQMTEx9LfffmvmEd+fdevW0VOnTqULCgrouro6k/ZtcheGIQtkaWjWbfT/T4uOjo5IT0+HWCzG6tWrUVFRgd27d+P06dPIyMjQuTvJ0oiLi0NcXBy2bNli8o11k9lNtVrNLNitAU06T7rH2isgIADz5s3DtWvX8Mknn8DHxwexsbF9umDMXHh5eWHx4sVQKBTw9/c3ad8mE5mDgwPOnj2LgwcPwtnZ2VTd9htNOs97XxLGjBmDrVu3wsfHBzExMZg8ebLJx9bZ2YmysjI0NjbqvKVzOBwIBALI5XKtMoFAAE9PT7OEcusVWVdXV78ShnA4HBAEwZwIpyiKubFDKpXi999/x9KlS63CV6ZSqSCVSpksi5rPpHmhWLx4MWxsbHDnzp1exe8LhcIB2zCvqanB22+/jf/+978QCARa/cvlcrS3t8POzg5CoZAp6+7uxsiRI5GXl4dBgwahu7sbEokETk5ORv976BXZoUOHkJOT0+fGbG1tQZIkuru7QdM0+Hw+uFwuJBIJc6+Rvg1wSyYvLw8//vgjEx3C5/Nha2sLgiAgkUh6HaK9ePFivPzyywMypvb2dlRXV2Ps2LF48cUXIZFImGn9woUL2LBhA6ZNm4b4+HimLDc3Fzdv3kR7ezsGDRqEo0eP4vPPP0dKSgpGjx49IOMyhF6R2dvbG4xYuB/FxcVoamrC7NmzIRQKce7cOVy7dg2TJ0/GU089ZRGOwb5A0zQOHTqE4uJizJkzBzweD6dOnUJ1dTWio6MNJlbRx0D6rbhcLkQiEaRSKRwdHbXSl8bExEAsFuP27duwt7dnyn799Vd8/fXXjJNaJBKBw+HgX//6FxYsWIApU6YM2Ph0GMhX1ZdffpkOCwtj3BTZ2dm0n58f/cMPPwxkNybl+eefpyMjI+mWlhaapmn6rbfeogMDA+mysjKzjenixYv0iBEj6MGDB9MLFy6kS0pKaKlUypSrVCr6zTffpOfOnUuXlZXRCoWC/sc//kE/+uijWrk3Kisr6djYWHrx4sX0pUuXaIlEYpTxDqgLg8/ng8PhMGsPGxsbZiFqrXC5XMZyAP/7jOYMFJTJZCBJEgsWLEBUVBQyMjJQXFzMlJMkiTfeeANhYWF45513UFpaCh6PB5IktdZfvr6+yM7OBk3TyMjIQH19vVHGO6BvlwqFAmq1Gl1dXbC3t4dcLodarTZ4AtzSUavVUCqVUKlU6OrqglgsZj6jOdeWmsW8r68v5s2bh7a2NuTm5qKxsRGLFi0CADzyyCNYsGABKIpCbm4uLl26BJIkwefztdoKDAzEokWL8PvvvxstkpeNJ7NCCIKAWq1GY2MjBg0ahOTkZHh6eqKwsBDHjh1jsg35+fkhOTkZjo6OzOUZ+t4kH3vsMSxdutRoriVWZA8BHA4HWVlZCAgIwIYNG3Dq1CnIZDIAd6f39PR0zJkzB0qlknluSliRWTE9rZKjoyNefPFFTJs2DWvXrsVXX32lVaZxKpsjvoyNjH2I8Pf3x5IlS9DS0oKCggIolUo8//zzAMCsi83hCGctmRVC/7/jVV84k7u7O9atWwdXV1fs3bsXZ8+ehVwuN2v6KVZkVojGGsnlcr3lHA4HK1aswPjx45GRkYEzZ86Az+f3Od/aQMFOl1aIjY0NaJpGQUEBnJyc9N573lsXhilgLZkVoslXq1AoUFpaigMHDqC5uVmnXm9dGMaGtWRWiFQqBUmSiIuLg7+/P3JyciCXyxEbG6uzE6FxYXR3d6OkpMQsLgxWZFaIJsW7UCjEjBkzmMvG6uvrkZycrFPf3C4Mdrq0QjR53pqbm+Hg4IC4uDhERUXh1KlT2LFjh15rpXnGujBY+kTPt8W0tDRERUVh//79OHz4sN41mrlgp8uHiBdeeAGOjo7Ytm0b2tra8Oqrr5p7SABYkT1UuLm54S9/+Qs6Oztx9OhRdHR0ICkpCYB51mIaWJENEEVFRRAKhYiIiDDrOOzt7fH666+jubkZxcXFGDZsGKKjo+Ho6Aigf8mWHxRWZA+ITCZDRUUFNm/ejNGjRw+4yDQpTh0cHPr0e4mJicjPz8dHH30EkiSZQEdzeP1ZkfUTzSHlEydO4OOPP0ZYWJhRLkrdunUr6uvrsWHDhj556+3t7REbGwuRSIS9e/eirKwMjo6OrMffWqBpmrEIdXV1+P777xETE2OUQ77+/v6QyWTIzc1FbW2t1hj+KKzdw8MDixYtwtixY0FRFONfMzWsJesHHA4HarUaNTU1uHr1KkiSxMmTJ3VOnA8E3t7e8PLywpo1a9DY2IhXX30VXC4XFEXh6tWrqKiowLBhw+7bxsqVK1FfX4+ioiLW428t2NjYQKVS4fPPP8fHH3+MpqYmbNmyBXv27BnwtzhbW1u0tLTg1q1b2LZtG9zd3TFlyhTweDwUFhaCx+Nh/fr1f5hcmcvlDui4+gIrsn6gVCpBkiRGjRqFUaNGobi4GI8//jiCgoL6dfL+ftjZ2eHChQuoqqpCWFgYgoKCoFKpQNM0wsPDYWNjg7S0NCxbtgyBgYEG29GcgDcHrMj6gVQqBUEQiI6OBpfLhZubGwICAjB79mwEBQUNaF8VFRWQyWRYuHAhEhISMGHCBJw5cwYKhQKzZs1CREQE3n33XXz88ceYP38+QkJCBrT/gYBd+PcDgiCYE0FRUVFIS0tDSUkJPvvsswHtp7OzEx9++CHKysqQnp7OvFio1Wqo1Wq0tLQgODgY2dnZuHz5Mnbs2GFR20kaWJE9IBRFISgoCK+//jpiYmIGrN1r164hISEBLS0tWL58Ofz8/HR8XHK5HBRFwd/fH0lJSeju7kZSUhITO2YpsNPlAPH444/rfd7W1oaDBw+ipqYGQ4YMwUsvvQTg7jSYl5cHAIiOjsakSZO0fo/H4zGL/KlTp+ptu2dExdSpU9HV1YW8vDxs3LgR8fHxGDNmzEB8tAeGFZmRkUgkKC4uxvnz5xEQEIDhw4dDIBDgxIkT+Oyzz0AQBLy8vHRE5uvriw0bNvSpryeffBIeHh5IT09Hfn4+hEIhhg8fDsA820kaWJEZGScnJ6SlpaGzsxPXr1/HypUr0draiokTJ2Lnzp3gcDjw9vbuV9v6YsNCQkKwevVqrF69GmvWrMG2bdvMeogEYNdkRofH42HkyJEIDw/H8OHD8euvv8LNzQ2xsbGIjIxEeHg4Bg8e3Kc2NVap5615GiiKQkhICBYtWgSlUonU1FRUV1fDzc3NbJfasiIzIc3NzXBzc0NcXBxmzZrV73a4XC5omkZJSQl+/vlnvXXmzp2LRYsWobq6Gvn5+bhw4QJIkjSLU5adLk0IRVFMlqAHQXOo96effoJIJIKnpye8vb11MotPmTIFnp6eeOedd1BcXIyhQ4eaRWSsJTMhFEUx6bQeBI3rYs6cOfD398fbb7+NM2fO6NTjcrkIDAzE8uXLMX78eKhUKrN4/lmRmYgTJ07g2LFjmDt3Lmpra/HNN9/0uy2NUMaNG4f58+fD2dkZubm5BvPzP/bYYwgLC4NarWZF9jAilUpx6dIl5OXlobGxEW+++SbKy8uRkpKCkpISg/ei3w9NfrKGhgb4+fkhOzsbEokEe/fuZRJA6xuH5ndNDSsyI1NfX4+MjAwQBIHU1FT4+/uDoiicP38eKSkpuHnzZr/b1ky7jo6OWLVqFcRiMVJSUlBeXq5Tl/WTPcSIRCJMnz4dgYGBzE0gf/3rXxEeHg6CIJjY+/7Q0yoFBAQgPj4e+/btQ3Z2NpYsWWJwp8DUsCIzMs7Ozjq3gMycORMzZ84c8L4iIiLg6uqK9PR0fPLJJ+ByucydT+a0ZOx0acXouwxt2LBh2LhxI2QyGd5//33U1dWBpmm9ucxMBSsyK0RjlQzdW+nh4YHly5fD09MTf//73/Hbb7/B0dGR9fiz9B4+nw+apnHs2DEcPHhQb53x48cjPj4e9vb22LlzJ4qLi0FRlFksGisyK0RzUdr169fx+eef49SpU3rvFRg7diyysrLQ0tKCc+fOATDPfaOsyKwQzUHdhQsXYsqUKfjnP/+JH374QW9dFxcXpKamYsaMGVCpVAZTgBoTVmRWyL03kkyZMgW5ublMEOS9+Pv7Y+jQoaBp+oH3TfsDKzIrpLc3kvSETbHO0i80b5f3u5HEEmBFZoXoc2Hc70YSc8OKzAox5MLQ3EgSFBSEgoICHDhwgCkzZ34yVmRWiMaFUVVVhePHj+PChQvM9Oju7o733nsPQ4YMwRdffIHy8nKoVKqH50YSTX55jS9Gs8g05yGGB0FzCamlfSaFQgGKovD8889j3LhxSEtLw4kTJ7TqLF26FKNGjWICGjX3w1t9fjI+nw+KoiAWiwEAAoEAFEUN6P3bpobH42ndRmxra6v1Gc2Bk5MTKIrC5cuXcePGDRw5cgTd3d34+uuvmTr29vY4d+4cvvnmGygUCrS3t4PP58PNzc3k4+Xs27dvwBo7ffo0KisrkZOTAycnJxQVFaGqqgqffvopLl68OGD9mAq1Wo2ysjLcuXMHOTk5EAqF+PHHH1FZWYm8vDwMHTrULOOqrq7GzY/qy/oAAAEnSURBVJs3tb7T77//Ht9//73e+kePHgUAuLq6Ys+ePXB3dzfq+OLi4rR+JoYNGzZgO6ZdXV1QKpWws7MDSZKQSCSQyWQQCoVmTV3UX2iaRldXF9RqNUQiEUiSRHd3NxQKBYRCocENamOjUqnQ2dkJmUwGmqbB4XCgVCp1FvcURTGHVwiCAJ/Ph0gkMvrW0vXr17V+5mRmZg5Y45rpsbOzEzRNw8bGBjweD93d3YyX2toQCoUgSZL5TLa2tuByuejq6jKL9xy4Kx6hUNhnsSiVSuY/jSkhaHNGs7H8KbDO1z4Wq4IVGYvRYUXGYnRYkbEYHVZkLEaHFRmL0WFFxmJ0WJGxGB1WZCxGhxUZi9FhRcZidFiRsRgdVmQsRocVGYvRYUXGYnT+DyuSVTseuv4hAAAAAElFTkSuQmCC)
For the arrangement shown in figure the time interval after which the water jet ceases to cross the wall (area of cross section of tank is A and orifice is ‘a’)
![](data:image/png;base64,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)
physics-General
physics
The distance travelled by a particle is given by S=3+2t +5t2The initial velocity of the particle is…..
The distance travelled by a particle is given by S=3+2t +5t2The initial velocity of the particle is…..
physicsGeneral
maths-
If ![f colon R not stretchy rightwards arrow R text defined by end text f left parenthesis x right parenthesis equals x squared minus 2 x minus 3 text then end text f text is end text](data:image/png;base64,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)
If ![f colon R not stretchy rightwards arrow R text defined by end text f left parenthesis x right parenthesis equals x squared minus 2 x minus 3 text then end text f text is end text](data:image/png;base64,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)
maths-General
physics
A freely falling particle covers a building of 45 m height in one second. Find the height of the point from where the particle was released.[g=10 ms-2]
A freely falling particle covers a building of 45 m height in one second. Find the height of the point from where the particle was released.[g=10 ms-2]
physicsGeneral
physics
The displacement of a particle in x direction is given by x.=9-5t+4t2 Find the Velocity at time t=0
The displacement of a particle in x direction is given by x.=9-5t+4t2 Find the Velocity at time t=0
physicsGeneral
Maths-
If
defined by ![f left parenthesis x right parenthesis equals x squared plus x plus 1 text , then end text f text is end text](data:image/png;base64,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)
If
defined by ![f left parenthesis x right parenthesis equals x squared plus x plus 1 text , then end text f text is end text](data:image/png;base64,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)
Maths-General
Maths-
If ![f left parenthesis x right parenthesis equals vertical line x minus 1 vertical line plus vertical line x minus 2 vertical line plus vertical line x minus 3 vertical line comma f colon left square bracket 2 comma 3 right square bracket not stretchy rightwards arrow R text is end text](data:image/png;base64,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)
If ![f left parenthesis x right parenthesis equals vertical line x minus 1 vertical line plus vertical line x minus 2 vertical line plus vertical line x minus 3 vertical line comma f colon left square bracket 2 comma 3 right square bracket not stretchy rightwards arrow R text is end text](data:image/png;base64,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)
Maths-General
physics-
Two thin metallic strips, carrying current in the direction shown, cross each other perpendicularly without touching but being close to each other, as shown in the figure. The regions which contain some points of zero magnetic induction are
![](data:image/png;base64,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)
Two thin metallic strips, carrying current in the direction shown, cross each other perpendicularly without touching but being close to each other, as shown in the figure. The regions which contain some points of zero magnetic induction are
![](data:image/png;base64,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)
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defined by
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What does the speedometer measure kept in motorbike ?
What does the speedometer measure kept in motorbike ?
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