Maths-
General
Easy
Question
In the figure, AB = AC,
and
Then
![](data:image/png;base64,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)
- BC > CD
- BC = CD
- BC < CD
- cannot decide
The correct answer is: BC = CD
We should find relation between BC and CD
Given, AB = AC
∠ABC=∠ACB=x (Isosceles triangle property)
In △ABC
∠ABC+∠ACB+∠ABC=180 (Sum of angles of triangle)
x+x+48=180
2x=132
x=66∘
∠BCA=∠BCD+∠DCB=66
∠BCD=66−18
∠BCD=48∘
Now, In △BCD
Sum of angles of triangle = 180
∠BCD+∠BDC+∠DBC=180
48+∠BDC+66=180
∠BDC=66∘
Since, ∠BDC=∠DBC
hence, BD=CD (Isosceles triangle property)
Thus, △BDC is an isosceles triangle.
Hence BC=CD
Related Questions to study
Maths-
In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =
![](data:image/png;base64,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)
Hence x+y>180o
In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP8AAADQCAYAAADI8rcpAAAgAElEQVR4nO3d6VNjV57/+ffVjlZAgAABAgRi3yEhk8y0y2W7bVeVf1XdM13R0c/mL+m/YGJiYmYipp/0xPx6oiMqaom2q13l3c6dTHaxI8QiFrFKQhJovZoHdvKzXU470wkI0Hk9zATpK6SP7r3nnvM9UiaTySAIQs5RZeuJMxlIyTLJdAY5k0H67v8DCklCrZRQKxXZKFEQrrSshV/OZEimMhwlU6TSMgpJ+pv/VyoUGLUq1MosFSkIV1jWwi9JoFRIaFUKVAoJ6Tvhz2QyKBQSSsV3zwkEQTgN0kW45s/A9572i9gLwtm5EBfT3xdyEXxBOFunHv5M5qujtiAIF9uph1/OZLgAVxKCIPyIUw+/JIlTdkG4DC7EgJ8gCOfvQgz4CYJw/kT4BSFHifALQo4S4ReEHJW16b3CBSLLEAlwnEoT0VhQ52kxK8WR4aoT4RcgeUzMc4+FzSCzBYOU1NRx3QZ5YkHVlSbCn/MyZOKbbE58zJcPfNyx6el8o4LWYp0I/xUnzuxyXph4eI65uSm+/GKCR589YWHBy048ne3ChDMmwp/rjtYJex4yOuflnsfPxtRjVuanmdtPcZjt2oQzJcKf4+SddTbdC/i2Q4SIQ3iOjflphuZDLEezXZ1wlkT4c1YaCLC5d8yiLw+9zkJLGRiVO2wvzDM07MXrj2W7SOEMifDnKjkCUQ+rQQW+vGs0dfXx33rzqbBkiG7Ms/DwCfOeHXYBOdu1CmdChD9XRfZIemcJHKZI1PTjuv1zBq81UVugg+gSB+4hpj1rzIThKNu1CmdChD9HxQL7rE6sENgLYqguoaC9k+LaNqoLDZg4JOkfZ3zaw5A3TiCR7WqFsyDCn5PCHOzv4/Ycs7cXxqQJEVMbiGorKCuxUKsERcLHwtQso09W2ToQJ/5XkQh/rskk4GiJcGCTpaiRg2M1ytA2oe0woZQJW1UZtZVatERIzE2w8HgSz25Y3Pa7gkT4c006Rnp9kXDggFRlLaYaJ1alBl1cwlBQTm1fNy29Dux5CqTdObamHzO6vM1yWgz8XTViem+OSceibMzssr0rUdjajL26lFZ1CpVSgZQpReFSEd3dYGpojb2jLQ584zyeWqe7zYWrBvKy/QKEUyPCnzMSpA638U3c55MPRpiJF1JcK9FQVkxRnuLrUCfJxA8ozs+nWB0jAyR8Izz6y6fUFtuofbuallIDJvGpuRLEaX+uyByR2BlneeRjHo5P8WB2m6WFTfZ2jgifdHFMEQ8mSSSV6PL1WACIkpwbYvbJQ0a8++wkRGv2q0J8h+cMFQpdPgWOVrr+rpxSRRVVjiLKFaBM89UnIQMZRRElTa9w+5/zKboVYy8FaamI4mYbFRYNOnG4uDJE996cIZNJJ0kmEiSSGdIoUanVqDUqVErF16eAGTLpNOlUklQqRerrHZQzGQlJpUat0aBRK1GK3uxXggi/IOQocRInCDlKhF8QcpQIvyDkKDHan+MCgQCRSASLxYLZbM52OcI5Ekf+HJZOp5mamuKTTz7B6/VmuxzhnIkjf46SZZnNzU0+//xzRkdHUSgUtLa2olKJj0SuEEf+HBUMBhkbG+PBgwdMTEwwPT3N+vo66bTo2psrRPhz1M7ODnfu3MHj8QCwsrLC2NgY0ajo2pkrRPhz1NraGhMTE2g0Gtra2ohEIjx8+BC/35/t0oRzIsKfY2RZZnd3l/n5efb392ltbeX1119HpVIxOjrK6upqtksUzokIf45JJBJMTU0xOzuL1Wrl1VdfZXBwELvdTjAYZH5+nr29vWyXKZwDEf4cE4lEGBoawuv14nK56Ovrw+Fw0NzcjNVqZXZ2FrfbTSIhunZedSL8OWZra4uxsTEODw/p6OjA6XRiNBrp7e2lsbGR+fl5Hjx4QCQSyXapwhkT4c8hh4eHzM/Ps7W1hclkoqmpifz8fLRaLc3NzTQ0NLC/v4/b7WZnZyfb5QpnTIQ/h3i9XsbHx1GpVDQ3N1NRUYFCoUCSJCwWC3V1dRQWFrK/v8/c3ByBQCDbJQtnSIQ/R6RSKcbGxpicnMRut3Pz5k0KCgq+9TNVVVX09fWh0WgYGho6mQMgXE0i/DkiGAzidrtZXl7G4XDQ39+P0Wj81s+UlZUxODiI2WxmeHiY2dnZLFUrnAcR/hwQj8dZWFhgfX0drVaL0+mkoqLib+bxm81mOjo6sNvt+P1+FhYWCAQCyLLo2H8VifDngPX1dYaGhjg+Pqa9vR2n0/m9PydJEuXl5dTX12OxWPD5fExOToqR/ytKhD8HLC0tcffuXQBu3bpFXV3dM39WpVLR1NRES0sLe3t73L9/X0z6uaJE+K+4VCrF0tISS0tLmM1menp6KC0t/cHfqa2tpb+/n3Q6zfDwMD6f75yqFc6TCP8VFovFWFhYwOv1olKpqKmpobq6GoXih9/2kpISenp6MJvNrKyssLi4SDgcPqeqhfMiwn+FhcNh7t+/z8rKCo2NjXR2dv7NCP/30Wg0VFVVUVdXh1arZX5+nqWlJVKp1DlULZwXEf4rbH9/n6GhIba3t2lvb6e9vf1Hj/pPGY1GOjs7cTqdeL1ehoeHxcDfFSPCf0XF43FWVlbweDwolUo6OjqorKx87t9XKpV0dXXR2dmJ3+/n0aNHYuDvihHhv4IymQw+nw+3200qlaK2than00le3vNvsK1QKKiurqapqQlJklheXmZ5eVm0+bpCRPivIFmWmZqaYmJiAqvVSnd3N8XFxS/8OGq1GofDgdPpJJ1O43a7RbOPK0SE/wo6PDxkdHSU5eVl6urquHbt2gsd9b+puLiYW7duUVJSwsjICOPj46dcrZAtIvxXTDqdxufzsbCwwNHREQ0NDTQ2NqLRaH7S4xUUFHD9+nXKy8uZmZnB7XZzdHR0ylUL2SDCf8Xs7e0xPj5OMBikoqKCuro6TCYTkvTT9tXWaDQ4nU5qampIp9MsLy+zsrIiOv1cASL8V4zH42FoaAiNRsPAwMALjfA/i06nw+Vy4XK5CIVCDA0NiWYfV4AI/xUiyzKzs7OMjo5iMpm4ffv2j07lfV4ul4uBgQFisRh3795lfX39VB5XyB4R/isik8ng9/vxeDyEQiHKy8tpbm7GZDKdyuOXlZXR19eHXq9ndnYWr9crbvtdciL8V0QoFGJsbIzNzU3sdjuNjY1YrdZTe3y9Xk9TUxOVlZUcHx+zsLCAz+cTU34vMRH+K2J3d5cvv/yS3d1d+vr66OjoOPXnsFqttLa2Yrfb8Xg8jIyMiJH/S0yE/4rY2NhgdHSUWCxGT08PLpfr1J9DqVSerBHY2tpiaGhINPm8xET4L7lMJsP+/j6Li4sEAgGKiopobGzEbDafyfPV1dXR3d1NPB5ncnISn88n2nxdUiL8l1wymcTtdjM1NYXVaqWjo+PURvi/T0FBAS6XC5vNRigUYnZ2Viz4uaRE+C+5RCLBkydPmJmZoaamhv7+/jM76sNXff5KS0vp6OjAbDbjdruZnZ0VR/9LSIT/EpNlme3tbaampjg4ODjpvffdrrynzWg0cvPmTZxOJzMzMwwPD3N8fHymzymcPhH+S+zpabff78disdDQ0IDNZvvJU3mfV15eHt3d3TidTnZ2dpienhYz/i4hEf5LbHV1laGhITKZDG1tbVRXV6NUKs/8eRUKBfn5+TidTgoKCtjZ2WFmZobDw8Mzf27h9IjwX2Kzs7OMj49TUFDAjRs3ftKa/ZdRXV3NtWvXkCSJR48e4fV6z/X5hZcjwn9JBQIBZmZmWF5exm6309/fj8ViOdcaHA4Ht27dQqPR8ODBAxYWFs71+YWXI8J/CcViMWZnZ1lbW0On01FbW0tVVRVqtfpc6ygoKKC9vZ2SkhL8fj9LS0uEw2Eymcy51iH8NCL8l9DOzg5DQ0MEg0FaWlpoaGh47q68p81ut+NyucjPz2d1dRW32000Gs1KLcKLEeG/hFZXV7l//z7xeJzBwcEzmcr7vNRqNR0dHbS3t7OxscGdO3cIBoNZq0d4fiL8l0wqlcLr9eL1esnLy6Orq4vy8vKs1tTQ0EBXVxfhcJiRkRG2t7ezWo/wfET4L5FkMonH42FxcRGlUnmy/dZ5X+t/l81mo6OjA4PBwNramtje65IQ4b9Ejo6OePjwIYuLi7hcLvr6+k6tWcfLUKlUVFVVnTQKnZqawuPxiGYfF5wI/yUSCoV49OgRq6urtLS00Nvbi1arzXZZAOTn59Pb20tFRQUzMzOMj4+TTCazXZbwA0T4L4l4PM7q6irLy8tIkkRzczMOh+PMp/I+L7VaTXd3N83NzSe9BQ4ODrJdlvADRPgvCZ/Px8TEBKlUirq6Ompqan5yL/6zoFKpqK6upqGhAUmSWFlZwev1Eo/Hs12a8Awi/JfE7Owsjx49wmw2MzAwQFlZWbZL+htarZba2lrq6uqIxWKMjo6yubmZ7bKEZxDhvwRisRjT09MsLi5it9u5du3auU/lfV6lpaXcvHkTs9l80mdAuJhE+C+4RCLBysoKi4uLxGIx6urqaGxsvDADfd9VVFTE4OAgRUVFuN1upqenicVi2S5L+B4i/BdcIBBgeHiY3d1dHA4HLpfrQtzeexadTkddXR0Oh4N0Os3KygorKyuixfcFJMJ/wfl8Ph49ekQqlaKnp4eamppsl/Sj8vLyaGhooL6+nr29PZ48ecL+/n62yxK+Q4T/Akun0ywuLjI+Pk5eXh43b97M+lTe59XW1sbAwAChUIgvvvhCDPxdQCL8F5jf72dxcZFQKERZWRlNTU0XdqDvuxwOB93d3SiVSmZnZ1ldXRVLfS8YEf4LKhqNMjExwfLyMqWlpTQ1NVFcXHxhJvX8GK1WS319PXa7nXg8frK9l5jye3GI8F9Qe3t73Lt3j62tLbq7u+nq6jrzrrynzWq10t3dfTLld3h4mEQike2yhK+J8F9QW1tbjI2NcXh4SEdHBy0tLZfmqP+UXq8/2TpseXmZJ0+eEIlEsl2W8DUR/gsoGAyebL9ltVqpr6+/NNf636RQKHC5XLS2tnJ8fMzc3Bzr6+vitt8FIcJ/wciyzNTUFBMTE+Tn59Pd3X2m22+dNYvFgsvloqysjFAoxNTUFLu7u9kuS0CE/8JJpVIMDw8zOjpKRUUFN2/exGq1Zrusn0ySJOx2O11dXWi1Wp48eYLH48l2WQIi/BeKLMvs7OwwOzvL7u4uTqeT1tZW9Hp9tkt7Kfn5+QwODlJeXs7U1BRut1uM+l8AIvwXSCgUYmZmhu3tbQoKCqivr8dms2W7rJdmMBjo7u6murqa7e3tky3GhOwS4b9A1tfXuX//PolEgq6uLurq6rLWkvs0KZVKrFYrdXV1WK1Wtra2mJycFH3+suzyf7KuEK/Xy8jICFqtloGBAex2e7ZLOlVOp5Oenh7i8TiPHj3C5/Nlu6ScJsJ/AWQyGUKhEPPz86ytrWGz2ejr6yM/Pz/bpZ2qmpoabt26BcDDhw/F3n5ZJsJ/AcRiMebm5vB6vej1eurq6rKy/dZZKyoqoq2tjcLCQra2tsT2Xlkmwn8BhEIhhoaG2NrawuVy0dLScqH6850WSZIoKyvD5XJhsVhYWloSzT6ySIT/AtjY2GBoaIhIJMLAwACNjY3ZLunM6HQ6+vr6aG1tZXl5mbt373J4eJjtsnKSCH+WxeNxlpeXWVpaQqPR0NHRceUG+r5JpVLR1tZGW1sbe3t7jIyMiEYfWSLCn0WyLLOyssLMzAySJFFbW4vD4biSp/zfVFpaSnNzMwaDgY2NDTwej7jtlwUi/FkUi8UYHh5mdnaW6upq+vv7MZvN2S7rzEmSRGVl5cnYxvj4OEtLS9kuK+eI8GdROBzm8ePHJ3vv3bhx49JP5X1eJSUlDAwMUFJSwsjICJOTk2LU/5yJ8GfJ05bcKysrALhcLmpray9dw46f6ula/9raWnw+H1NTUwQCAfEFcI5E+LNkY2ODsbGxk178NTU1V2Iq7/NSqVQ4HA7q6+tRKpWsrq6ysLDA8fFxtkvLGbnzaXtpMqSihMNxjk5h89n5+Xnu3buHTqfj1q1bVFVVvfyDXjJarZa6ujpcLheHh4cMDQ2xvb2d7bJyhgj/85ATJA/W2PTM45lfYHFlm62jNPGfeIYqyzLz8/PMzc1RWFhIX18fxcXFp1vzJVFRUcGNGzdQq9U8efJETPk9R7lxgfkyjlc5XJvn/pN1ljaC6A0p4rpSEuZm2tpr6Wss5EX2z0kkEqyvr7O0tEQ8Hqe6uvpCb7911kpKSrhx4wZDQ0NMTU0xPz/PzZs3c/bvcZ5E+H9EemeKlYf/xZ8+SrKeMPB6a4DAwRSPNjfYPHqT4tpCGjXwvLPwg8Egjx49Ymtri9raWpqamnLi9t6zPF3L4HA4mJycZGlpidXV1SuznPkiE3/dH5QmuullyT3OzNYRYYsdu6OECvaJzo4zP7fKQjDDi0xP2dnZ4cGDBwSDQTo7O6/0VN7nZTKZaGpqoqamhs3NTUZGRggGg9ku68rLvfBnZDLpFGk5g/yt/5CR02lSaRk589X/pFJJ4odhoqEw0YwGZUEZJWXF2AwSquMQ0UiUSBqed/wvlUrh9Xpxu92oVCoGBgZycqDv+3R2dtLf38/u7i5ffvnlBR74S5OMRjmOpbnsjchy77RfTiLHI4SjcSJxmUxGQqFUIkkqNCqQpCSpZJqUyoxCkUGtL6DEbse2rSN9HCISDBPK5CEVmSkusVJmkMh7jqfNZDJsb2+zsLBAOBw+2Wo7l0/5v8npdNLR0cGHH37IzMwMPp+PpqambJf1bfIhR3u7bG1HiKryMdvKKcpXY7ykh9DcC78kkznawj/6mOHRGRb2JY6NTsw1bbzSrKRCtcHU7DGbqWqqW2voqOyl/rbMrzRBvAd7rPviRIyttL/TRMdgA40GeJ45eYlEArfbzdzc3Mm6dpvNJq5rv6bVaqmtrcVut7O4uMjc3BwtLS2UlZVdgL9RjHjIx8qTcTwrm2xrdYRienQU4GhrprG9lnI96LJc5YvKvfArFCDHie9Os3z/d/znwwMWlT0UDvwaZdzMjSIfU/NKfLIes9NBpqwDe1EJvza5cU8vsx4txlzdyNtNbbQ4CqlQPt+1UygU4vHjx6yurtLW1kZPT8+Va9bxsoqKiujv7ycSiTA5OUlNTQ1/93d/l/2FTvIu0ZWH3PnDxzzxJ8m73URqZ5/I+AEzG7/ioNDBa04l5crslvmici/8qFAYyyltb6J1tpK7w+tMbk+yMVzGvYIq8roNqGuaaC1tpLEqH7NWg0brwN6iQVdYRUVEBQWllNkLKVTB826g5ff7mZiYIBAI0NLSQktLS85M5X1eZrOZgYEBvF4vQ0NDVFRU8Morr2Q//JF1op5xJibXmVLX0l9WgV3aYikwyfxUHeqFQzpLCii/ZF3XcvDTp0ShL8PW/jq3Ekf4VyLs/2mayYNxJqf0FDk7eee1m9xoLcMuwcmXuaEMa10ZP2X7jGAwyMzMDAcHBxQVFVFfX09hYeEpvqarQa1W09DQgMvl4vPPP2dxcZGNjQ30ev0ZfFFmkGVAklBI3/n3NICMpFCCBFIixHFgn4NDmVhZCfnldiqlaQ5UETyRQw4Ok8ROYdbnecvB8D9VgbX6OoM3hpifm2Z1ag3/bjveqBWdNp9K6fmP6j9mbm6O0dFR8vLy6OzspLy8/JQe+eoxm83U1dVRUVFBMBg82basrKzsFJ8lQ0ZOkIgeEztOkEJCljJIkoRCbUCtVqMjjpxOc5SIo4xBJK8Qk3Ebq+KYTCzMYQQSWDAXWCkp1qO7bBf85HT4VUj5tTTd7GFg+hGfLXjZ31vE51lhdbuLfVceVl7+CyCTyTA+Ps6TJ0+oqqrilVdeoaSk5DRewJVVU1NDX18fQ0ND3L9/n6qqqlMOP5A5JrU9hmd8gpGlEOtxPZr8Whp7uulqt1OpPia4OM3s1AohvYpUfg/trxtxhI+QfD78e2a0LW8x0HWNLpeekue55XPBZHsYNbtUeajLaymvb6a+2IA6Mc/B5OfcHVtkaBeiL/nwmUyG3d1dFhYW2N7epqKigo6ODkymF5kQnHuKi4sZGBjAYrEwOTnJ/Pz8KS/1lZCQkaI+dqf/ykf/3//B//W//p/8b//3B/x5ZIOtjAS6JIcbM7i/fMDDsTBBax/X/qe3efs1F9WyCpOpkYZ3/mdef+MaNysUWC/hYfQSlnya0hxsa5FU5bR1VrKYnGN2a5xHX4xS11BP26s2jC8xxfzw8JDp6Wn8fj8FBQXU1dVhs9mQpNO6oLiajEYjnZ2d2O12JicnWVhYwO/3n+6tUYUOTYkTW20lxaovSIb2CB/OML9+gD8hkURG1mlIacuxmKtwVTloKLGjLc3HtBGlVrJisVdSUazGeEnfTuW//Mu//Eu2izhfaTLxMNGDZbzTbu7c3WL7ME6RPc5xYJOZxW0C/hRxVT5l9mJKLXlo1AqUP+ENXl5e5oMPPmBlZYWWlhZ+9rOfUVlZefov6YpRKBQYjUbW1tZYWloik8lgs9koLS09vQU/khqlqQSjWYV2d4WD2TXWZR1UdlDtqqLBvAfROFuKJqoaGhlssWJWaVAZiykss1NRVkCRQYnmkgYfcjH8coz0/iIrT/6Lzz9/zEfzGpLFpTTWpkntbDI3GeAw5ieUyENZUom1tBRbvpq8n3DAGRsb449//CPpdJq3336b3t5eDAbD6b+mK+ro6Ij9/X22trbIZDI4nc5TvkuiQqPOYI542d5YwO2PsStVYjQV0pjZRJeR2TY3UVhVTkOx8tQGgC+K3DvtlySQlCjVRkwFpdSY66huduCosGFM5nOUnsObTKEorqGmUIdaKb3wwEgmkyEcDrO4uMj6+jqtra10dnZSVFR0Ji/pqqqvr2dwcJC5uTkeP37MrVu3cDqdp/ockraEsu5uWq89wTEzg3/xMWOfmPkwoKW3txZjs4li29WcjJWD4deiLKyncqCUws40P0OPVq/DqGlAdlyn+dVj4rJMRqFDpTdjNGpeeO52IpFgdnaWhYUFjEYjLpeLysrKCzBN9XIpKiqipaUFi8WCx+PB4/HQ29t7uush1Eao7aS6rZfO0mWW3W423Hr+S9uFssHCawVaHKarOTKee+FHgaTWo7Po0Vm++e860JrQW571e88vGo3y+PFjvF4vTqeTzs5OMcL/EyiVSsrKymhoaGBra+uk+1FXV9cpTo3WgNpFhbObgabPmFjy4D9YYiE6yL66mqI8LflX7Xz/a1fxCy3rtre3GRkZIRAI0NXVRWtrqxjh/4ny8vK4fv06TU1NLC4u8uDBA6LRl70J+135FNpddA400OjQYdTrsJZXYqusIl+tvnLX+k+J8J+y4+NjlpaWWFlZQaPR0NraSkVFRbbLurS0Wi3d3d00NTWddDw+i+29FLZyqnr7cLo6aCyuoauhDJdLj/EKb56Ug6f9Z2t9fZ2JiQlkWaahoYGamhrRj+4lKBQKSktLcblc6PV6Njc38Xg8lJWVne4GJ9oS8pt6qek6pl+lo66llFbb5Vum+yJE+F9QJpMhlUohyzKSJKFSqZAkCUmSSKVSjI2N4Xa7KS0tpb+/n4KCgmyXfCVUVVXR3t7O0tISIyMj2O12Wltbv/UzyWSSRCJBKpX6mxmBKpUKjUaDWq1+xiWYAllvo6ili2ajjmaHFQdwhQ/8IvzPY2tri+XlZdbW1jg4OCAWi5FKpUgmk2i1WqxW60nTiY8++ojFxUXeeustBgcHMRqN2S7/SrDb7dy8eZPd3V0ePXpETU0N1dXVBINBFhYW2NraIhAIEIlECAQCxONx4Ksva6VSSVFREeXl5ZSX26lvbKK6vBApsIBnboWx3QLyCrS0OMKoy+zkG8opLbZy1d85Ef4fcHx8jMfjYXh4mOnpaVZWVtjd3T05shwdHaFQKCgpKaGqqgpZlrl//z4KhQKn00l9fb24vXdKLBYLPT09DA8P8+GHH/Lll19iMpnY3d1ldHQUn89HNBolHo+zt7dHJBI5+V2VSoXdbsdut1NUVEzj8ioddTbKDx8z/HCS/3eyDHWFg79/q5QCRyfGSjsG09ldqsXj8ZPPjtFoRKnMThcQEf5nOD4+5tGjR7z//vuMjY2hVCqx2Ww4nU5MJhM6nY7j42MikQiJRAK/38/m5iY7Ozu0trZit9tF8E+RUqnE4XDQ0NDARx99xMcff8za2trJZZfJZKK2thaTyUQ6nSaRSJz8rkKhwGAwcHx8zMrqKr///e/5RJNgoCRMKhRla36DPX8Ua3Upr1UX0FGppfAMV+mtra1x584dlEolAwMDWevgfKHCH41GSSQSGI3GrLa4CgQCjI2N8cEHHzA8PIxSqaS9vZ2+vj5sNhuFhYXo9XpSqRSHh4fs7u7y17/+lenpaYqKirh16xYOhyNr9V9VWq2WpqYmmpub+etf/0o0GuX69ev09/dTW1tLbW0tJSUl5OV9O7mSJJFMJvH5fDwZHubLO3fxzLkJ+vYps5horC9CWd1Iud1FSX4h1WY4y0nYR0dHzM3N4fV6WVpa4saNG3R2dp7+suUfcWHCHwqFGB8fJ5lM0t7enrU179FolHv37vHhhx+ysrJCU1MTt27dorOzE5vNRl5eHhqNBqVSeTL4F41GmZqaQpIkGhoaePPNN0X4z0hVVRXXr19naWkJhULBL37xC9544w0MBgNGoxGtVvvMORUWi4Xy8nK6u7p58OAe//mH37EQCPLLm528/qu3sTnqsBYaz/xav6SkhJaWFhYXF3nvvfdwu928++67vPnmm+d6Wzjr4d/d3T1pdjEzM0NNTQ2lpaVZCX8gEGBkZIT/+I//YG5ujt7eXn7zm99w48aNZ04pValUBINBEokEFovlZB7/d48+wukoLi7mxo0bPHr0CL/fT1FR0XN/0er1evR6PRUVFdjtdvYDYe7cvYM/GCSTDOYZepMAAA9DSURBVOKyGziPqS9FRUXcvHmTVCrFp59+itfr5Xe/+x1er5dXXnmF3t7ec7lLlJVVfU8Hy9bW1rh37x5/+tOf+Oyzz9jb28PhcNDS0kJpaem51iTLMhMTE7z33ns8fPiQsrIy/vEf/5HXXnvtB6fmBoNBPvvsM4aGhjAYDNy+fZve3l4xo++MqNVqtFotbrcbr9eL0WiksrLyhVf7GY1GTEYDkUiY8bExAoEgdc46rIWFXy3+OkNKpRKLxUJjYyN1dXXIsszCwgKTk5Ps7Oyg1WqxWCzk5eWd6WBgVo78y8vL3L17lwcPHuD1ekkmk7S2ttLa2kpPT8+5Bx8gHA4zPj7O9PQ0tbW1/PKXv+TGjRs/eqtuf3+fu3fv4vP5uH37Nm1tbSL4Zyw/P5+WlhY8Hg/z8/M8fvyYkpKSF1o/8dU4ThuBwAGexQWWlrwMj4yiNxix2+1nWP3/eH6j0UhfXx86nQ6bzca9e/eYnZ1lc3OT0dFR3nnnHfr6+s6se/G5Hfnj8TgbGxsMDw/z0Ucf8emnnzI7O4tWq2VwcJDf/va3vPvuuzQ2Nmbl3nggEOD9999nbm6Ot956i3/6p3/CZrP94O+kUimmpqb405/+RCaT4R/+4R/o7u7OfqvpK06hUKBSqQiHw7jdbpLJJB0dHeTnv1jv7KdnEdvb2+zv7yNJEjab7Vyvu58+Z3NzMzabjUgkwuLiIouLiwSDQVKpFHq9HoPBcOpnAedy5E+n00xPT/Pxxx/zxRdfsLOzQ1lZGb/85S/p6emhoaGBqqqqrF4nS5JEKBQiHA5TWFhIcXHxj/6O3+9ndnaWaDSK0+nE5XKJST3npL6+nra2Nv7yl78wNzeHz+ejurr6hR/HaDRSXl7O0tLSyfufDUajkYGBAaxWK01NTXzyySfcu3ePubk5Xn/9dd59911aWlpO9TnPNPx+v/9kHfb8/Dyrq6toNBquX7/O4OAgr7/++nOF7DwUFBSgUChIp9PP3W1nfn6esbExrFYrXV1dJ806TrfZpPBdkiSh1WpxOBxUV1ezvr6O2+2mqanphRummEwmCgoKMBqNJ1OAs8VgMNDZ2UlHRwcul4sPPviAqakp7t+/TyQS4dq1a3R2dp7anaQzCf/TTjb37t3jD3/4A+Pj4wC0trbyxhtv0Nvbi91uR6PRnEzGSKfTyLL8Qw97pra3t0/mGezt7XF0dPTMEH/z9Y2NjVFeXo5Go2Fubg6TyUQikRBfAGdIqVSi0+lYX1/HYrGwsrLC/fv3KS0t5fXXX3+h0+Pd3V329vYIh8Mkk8mT2YHZGLdRKBQolUrS6TTt7e0YjUaKior4y1/+wr//+79z//59fv3rX/Pmm29SV1f3A+sUns+ZhP/o6Ijp6Wk++OAD3nvvPY6OjtBqtej1ekwmEzs7O6hUKuLxOMlk8kIEJRKJ8PjxY7a2tvjjH//I2traM382k8kQjUb58ssvmZ+fZ2tri8PDQz766CPUajXpdPpCvKar6uk1fyQSYWNjA5/Px9zcHFtbW9y7d++Fwh+NRllaWsLn86FSqdjd3eXhw4fnHv5M5utNQxQKdDodRqORVCrFwsICGxsbrK2tsba2xu7uLnNzc7zzzjvcunXrpW4JSpkz+JSGQiEePHjAv/3bv/HnP/+Z4+NjtFotNpuNoqIidDod6XT6wgRfkiRkWSYej5NOp09Wfz3L08k9sViMZDJ5sqrvIryWXPL0b/40OFqtFp1O98LTqp8+xtPHPO/gP/0yUygUyLLM0dER4XCYcDjM0dERyWTy5GzHaDRSXV3Nb37zG/75n//5pe6MncmRX6fT4XK5eO211zg4OODhw4fIskx5eTk3btzA4XCgUCiIxWLf+sNny9M3/OnMvUQiQTL545uvqVSqk9O0VCp1csQXt/rO1tPPy9PQPD3S/5RLx6eP8XQvwGQy+b1Lgk/TNz8fkiShVCrRaDQng86Li4uMj4+zublJIpFAp9PR0tJCc3MzFRUVlJaW0tbW9tKdoM8k/FqtFqfTiVqtxmw2U15ejtvtRqlUolAoaG5upqOjA4vFcrI89iL45pvyPG/+N48S2f4Cy1Xffc9+6vtwnu+jUqlErVafXCIeHBzg8/lYWVkhFAqh0WhOJi6p1WoqKipoaWmhra2Nmpoa8vPzycvLQ/eSGwSeyWn/U7Isc3h4iMfj4b333uPjjz8mFovx85//nN/+9rf09fWd1VMLwqUQCoWYnZ3l7t27DA0Nsby8jE6nw+l0cu3aNdra2qisrMRkMmEwGH7SZc2znOmtPoVCQX5+Pr29vSiVSrRaLR9++CFffPEF4XCYYDDI4ODg6bZjEoQL7vDwkOXlZdxuN/Pz86yvrxMKhUin0zQ3N+N0OmlqaqKnp4e6urozq+Pcpvd2dnZSWlqK1Wrlvffe4/79+0SjUY6Ojrh9+zYWi0WsfxeuvHQ6zerqKp988gmffvopm5ubGAwG2tvb6e/vp6enh+rqanQ63Zkvaz+38EuSRFlZGe+88w4Wi4X333+fmZkZ/vVf/xW/388777wj9rETrjxZltnb22N1dRWDwcBbb72Fy+Wivr6empqaq72kt6qqiuLiYgoKCvj973/P2NgYH3/8Mfn5+bz66qs/Op9eEC4zSZKwWCy0tLTQ39/P4ODgT5qWfBqysqovLy/v5Fq/qqoKj8fD9PQ0TqdThF+40pRKJfX19dhstpPmr9mStWYeJpOJwcFBioqKcLvdyLIsFsUIV97TfoMXYfu2M73V9zxkWSYWiyHLMlqtNqu9+4RLJJMincogo0ChVKIUY8UvLOvhvwgycgo5lUZWqJFUim+fDslp0pISpZi0d3FkDonu7LEbShGTDBgKiymyajhZEJ7JkEpIKFUgZacr9qUgwg9kUsfEgnvs726ztx8kcCyTRI2kNWDMU5OnSpNOpIinFKgNZkxWG9biAgp0F6AJYq5IBTjc3WFrc5udvTDheBpZlYcqz4jJbMKsV6DOhEnIEnFFFeb8UqqKIE/0VXkm8dkFJNIkIn78Y3/l/uefc2cuynqmGFVFK70tZTSYDggszTO9GCBkqKbs2pvc/vmrvNJsxSHmJ529zA6hhXs8/OxLPh7aYjVVTrGrla4OB5V5R8T8K2xueFldmmcrWYjs/Ad6Bkqx5ovw/xARfgCFCqVOjza5z5H3IWP3YixTCE02bM56+ipllMYobD9hxDtO3HvIZkiFUnEDfWcxhQoQZ5dnIQ3xTTYmPuXOf/6Z//pinulYKYVd3TRXV+NwVFBpTkMgBeEttoKrBHxeNqTrmBrhdvbaQ1wKIvwACi36IgdV1TXUO4qxWXwsH1qguA5H28/52Wsq8gbzqVQH8f8/w3zu/px7MTP2mhKqm4vp0oE4ATgD8jZhz2fc+d1/599+52Y41kDDr37D3/8vv+CN5iLKdWo0igyZCgdVdS6qVXsUPZnlC4MSKQPpnL+g/WEi/ABIKFRGDEYTFrMBowGI56HWWzDm2ygtyUNZ0kJLezVVljHwbROen8Gzto3vGJpE+M9Ahtj6DItfvMcXHw/xwKcm2tSNs/dVXuly4PpWu0ct2jwjxv5e0lode/tWVIoMalmM0v4QEf4TX63HT6dl5JMjRgYySVKoUaZCHBxEiSUAtGiKrFhMevIyID5ip00GDtidG2Ho44eMeqJELW0Ud/XS4Kqi/Hs/tRkobaS0u5Ce9SrS2gwGhXhnfogI/4mv1oL/jzNFCUkCpTJFKn6AYnGBubFF1gJJMDVQ3jdAe0M1DYaz3dctN8Uhuczm6gLj7h1WjoByC2WV5dhKjOi+956+BOpqTKXltBq1yBkJo9g06QeJ8H+XJH11KJfjyIfrbM8/4EFim+jDv/L+nXVWlQ4q+t7mZ79+i9d7a2k8u52cc9gxRFbY2dlieTdNCNDp8ii05KHXQ+aZB3Q9klKPxXKOpV5iIvzfJSmQFEAmhhxcYX1S5v7KBv6JedwHWjJFLpwtDbTVFGIzijH+s5GEaJhY9IhIEpKAWlKiUkoolYjrrFMiwv9dmQxkAEmJpCvAVFKP01lOWYkSpXGWJ6sB9hfuMPJhAl3mVY57GqkrAKP4QJ4u6asLsKdT0ORMilQ6QyqdxZquGBH+78rIZGRAkYfCWkdV9zu887YZE11M2/87qf/9z/z+syd4hiaYiag5NFWR36nH+HLt1IRv0YKxGKM5H6setHFIJY4JhmMcHfHV+yNOul6aWA7xTApQalHrjJj1RjT6DmqaWmi0aShJJokFZ5mY8jA5v8dBWNxQPl16MNRQVFJObakKK5A6PmJ3e4/AwTEpMXnnVIjwn1ChVH11XamQAAkkJMikv74DoEOZZ8KQp+OrxZhJ5ESCWCxFWpyKnjINqKqwu1rou1ZNnQnY97M5Pc3qqp/9Z4U/GSYV3GIvEGb3GBLiS+IHifCfSJFKJUkkUyRTQCpNOpUklUwQy6SBDQ52Ntg6iHEASEobZZVlVFcVYDKIC/7TZ6K4oZNrb75KX3cphRySWRxhcXoCt/+I4Hd/PJMiuenBvzDJ3OoOy4cQE1/KP0hc8wOZ9DFH+2v4PAvMetbx7QBskPaMMTNs45M8PXlhNzNffMadlRSh0g4aWwa5/UY/bzSbKRH3k8+AAnVRA9WDf88vAhDhHg8WZlm7/0d+V5gkeK2RrkoL+ZoUciTA4WGY/XU/YVmHukZBhRqxDPtHiPADZOLED3fYj6SJaispdhwSOS4AyxHszzE9IaHwz7O4lCRd0U2nc5Brr/yMN2+10FOpxCDOn86GZEVbeYvBXxkwWqw4PhvmS6+fzZFhRkihiZVRZpDJhPwEAmG2jy3oSh20lxThzAe9eF9+kFjPDyDHODrws7u2xNraOhuBFFFZDVozhVYTlrwMhAMEDuMkdEWYympx1DqoLdGK4J+LKMltD8ueZeZWAuweqVEZzRQWGNHnadGqQKVSIqss5OWXUVlmpkgk/0eJ8AuXTAo5ckAgECQYyZBQGjAUFFBYaEDMuXoxIvzC5ZSKEU/IpFCh0mrQiuC/MBF+QchR4sJIEHKUCL8g5CgRfkHIUSL8gpCjRPgFIUeJ8AtCjhLhF4QcJcIvCDlKhF8QcpQIvyDkKBF+QchRIvyCkKNE+AUhR4nwC0KOEuEXhBwlwi8IOUqEXxBylAi/IOQoEX5ByFEi/IKQo0T4BSFHifALQo4S4ReEHCXCLwg5SoRfEHKUCL8g5Kj/HwLjzRfB3jDwAAAAAElFTkSuQmCC)
Maths-General
Hence x+y>180o
Maths-
In
then ![angle B equals](data:image/png;base64,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)
In
then ![angle B equals](data:image/png;base64,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)
Maths-General
maths-
The vectors
are mutually perpendicular then ![stack a with minus on top cross times open curly brackets stack a with minus on top cross times open curly brackets stack a with minus on top cross times open parentheses stack a with minus on top cross times stack b with minus on top close parentheses close curly brackets close curly brackets equals](data:image/png;base64,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)
The vectors
are mutually perpendicular then ![stack a with minus on top cross times open curly brackets stack a with minus on top cross times open curly brackets stack a with minus on top cross times open parentheses stack a with minus on top cross times stack b with minus on top close parentheses close curly brackets close curly brackets equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALoAAAAcCAYAAADWS6UCAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAA3lJREFUeNrtXL9rFEEUfiyHWAkSDpEggkgI+QdELNKEIEGCCBZHSGETgoiIjcURRCStiIUQUoiFCCEcQSQIIiIidhLCFSKIpBAJNiIiQQLne9kXuNvMj93Zu92Z7PvgK24fe/vNmze7897OLIDAd9SQj5ANz3U2WGdNukzgglXkxUC0TiJb0mWCrLiFXAxM833WLVDgBrItenpQR35GHg2sL0nvF+RQ4jj587rhPJs9eKwjXyHHRE8PmsiFQPtUpX2M/bquOcdmDxrzyI+iRwm6m58KtF+H+a6uAvl3znCuzR4k3iMviZ4DGEFuBN63m8hRxfFp9rMONnuQ2AG/ylG+6JlBLnvkl46BOiwhZxXHa+xnHWz2INERPUosa4IkJMwaBmsnsLiQQB8Q1iCc2rkOU6CvqUugi549UKntTOB9a0pIJdBFzx7+QPiv0qme/svHQHdJOAYZWFXWs+NhX/WzHZW6o9Obvy3Ro8TuIenjf5rj35AnDOfZ7MGAHsvPkROip5KBPg7xYrUjjvZg8AR5VfQ4T13KwF9k1Md2XGG/u9qDQMQjdlL0BJGMnoX4TWe/klF6cq4Y2mizyxz9kOjxrbx4mad2WWAqL26xv8HRnvuudg+5zXMrWmtx2nJOk5nVlia7rrIe2wujon1zl+10zR88JXmLPGk4x9sXRi8h3gp1nB25wiMZHByYJqhsDaqyHtsSgKJ9Q///FXmn65oPLHf5QS4B6KSgEg1uTDee8qiEjA5MG1SmBlVdj2lRVxm+oSlIcn3+MeRvy2Cd8e2OTo+h84lj71I8DpMOfJ0hqEwNqroe0zLdorVEXHFRJZumQCf9o74FerJ0FHHmDyUFluiJ76LDHmg5x4MrCRpsbxwS0VKnLj8Tvy8gP2V0nMtUQbf+W/Tot9IVrYWmSqp69m3Qb/UzbQOMwFxft9lz4Tv0bsIlkasOjsua/Ol29IieeHOxanN00Voo6b2WOEZvLDc1VRfd5uh9jIN5B5HNngv0iYIlHk0013sG6Tap5i3n0d7AD6JHi5tw8HMXRWtpceBOdE1LWorg38ci6zZVjOZy2HOjydn8Ao/K7ZQlq7ygTnqhSFxETwzVB4yK1EL/Pc3BvstJpu5aU4qKUHeC3TIMSpt9YKgXeC3afd8WPUpQzvAQzJ+kq0P5IH2PQb8eps1+BUd7LvwHQ0iAPsEVgqoAAAItdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vdmVyIGFjY2VudD0idHJ1ZSI+PG1pPmE8L21pPjxtbz4tPC9tbz48L21vdmVyPjxtbz4mI3hENzs8L21vPjxtZmVuY2VkIGNsb3NlPSJ9IiBvcGVuPSJ7IiBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bW92ZXIgYWNjZW50PSJ0cnVlIj48bWk+YTwvbWk+PG1vPi08L21vPjwvbW92ZXI+PG1vPiYjeEQ3OzwvbW8+PG1mZW5jZWQgY2xvc2U9In0iIG9wZW49InsiIHNlcGFyYXRvcnM9InwiPjxtcm93Pjxtb3ZlciBhY2NlbnQ9InRydWUiPjxtaT5hPC9taT48bW8+LTwvbW8+PC9tb3Zlcj48bW8+JiN4RDc7PC9tbz48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bW92ZXIgYWNjZW50PSJ0cnVlIj48bWk+YTwvbWk+PG1vPi08L21vPjwvbW92ZXI+PG1vPiYjeEQ3OzwvbW8+PG1vdmVyIGFjY2VudD0idHJ1ZSI+PG1pPmI8L21pPjxtbz4tPC9tbz48L21vdmVyPjwvbXJvdz48L21mZW5jZWQ+PC9tcm93PjwvbWZlbmNlZD48L21yb3c+PC9tZmVuY2VkPjxtbz49PC9tbz48L21hdGg+NUiZjQAAAABJRU5ErkJggg==)
maths-General
Maths-
If
be the three vectors such that
then
If
be the three vectors such that
then
Maths-General
Maths-
If
then ![stack i with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack i with minus on top close square brackets plus stack j with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack j with minus on top close square brackets plus stack k with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack k with minus on top close square brackets equals](data:image/png;base64,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)
If
then ![stack i with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack i with minus on top close square brackets plus stack j with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack j with minus on top close square brackets plus stack k with minus on top cross times open square brackets open parentheses stack a with minus on top cross times stack b with minus on top close parentheses cross times stack k with minus on top close square brackets equals](data:image/png;base64,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)
Maths-General
maths-
If
represents the reciprocal system of vectors of
then ![Error converting from MathML to accessible text.](data:image/png;base64,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)
If
represents the reciprocal system of vectors of
then ![Error converting from MathML to accessible text.](data:image/png;base64,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)
maths-General
physics-
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/491923/1/960440/Picture199.png)
The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with displacement
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/491923/1/960440/Picture199.png)
physics-General
physics-
The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/491976/1/960361/Picture194.png)
The variation of velocity of a particle moving along a straight line is shown in the figure. The distance travelled by the particle in 4s is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/491976/1/960361/Picture194.png)
physics-General
physics-
A ball is thrown vertically upward. Ignoring the air resistance, which one of the following plot represents the velocity-time plot for the period ball remains in air?
A ball is thrown vertically upward. Ignoring the air resistance, which one of the following plot represents the velocity-time plot for the period ball remains in air?
physics-General
physics-
The velocity of a particle moving in a straight line varies with time in such a manner that
graph is velocity is
and the total time of motion is ![t subscript 0 end subscript](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAQCAYAAADJViUEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAKZJREFUeNpjYEAAFSA+ykAmCALipeRorAfi/0i4nFQDVgFxALnOvgHE8uRoZALib+Taag7EB8nVHAnEC/HI+0C9dQPKRgETgDgHh0ZLqKuEoXg/VAwOpgDxXByaNwCxPRLfFog3ISvQAuKn0DhmQ9P8CRqgyIH7idjw+I9F7BexmtFtZiHFZnQ/g9hbiNVsCQ1hQSAWhYa8FynpABS3t4D4HRDnwQQBbdohhuIJGzsAAABgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPnQ8L21pPjxtbj4wPC9tbj48L21zdWI+PC9tYXRoPjFBmiYAAAAASUVORK5CYII=)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492016/1/960322/Picture189.png)
i) Average velocity of the particle is ![fraction numerator pi over denominator 4 end fraction v subscript m end subscript](data:image/png;base64,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)
ii) such motion cannot be realized in practical terms
The velocity of a particle moving in a straight line varies with time in such a manner that
graph is velocity is
and the total time of motion is ![t subscript 0 end subscript](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAQCAYAAADJViUEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAALV/ZLFgAAAKZJREFUeNpjYEAAFSA+ykAmCALipeRorAfi/0i4nFQDVgFxALnOvgHE8uRoZALib+Taag7EB8nVHAnEC/HI+0C9dQPKRgETgDgHh0ZLqKuEoXg/VAwOpgDxXByaNwCxPRLfFog3ISvQAuKn0DhmQ9P8CRqgyIH7idjw+I9F7BexmtFtZiHFZnQ/g9hbiNVsCQ1hQSAWhYa8FynpABS3t4D4HRDnwQQBbdohhuIJGzsAAABgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPnQ8L21pPjxtbj4wPC9tbj48L21zdWI+PC9tYXRoPjFBmiYAAAAASUVORK5CYII=)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492016/1/960322/Picture189.png)
i) Average velocity of the particle is ![fraction numerator pi over denominator 4 end fraction v subscript m end subscript](data:image/png;base64,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)
ii) such motion cannot be realized in practical terms
physics-General
physics-
Figure given shows the distance –time graph of the motion of a car. It follows from the graph that the car is
![](data:image/png;base64,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)
Figure given shows the distance –time graph of the motion of a car. It follows from the graph that the car is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZsAAAE3CAMAAABLmBxfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///9be1kpCQnuEewAAALW1ta2trffv7yEhGYyMlBAQGUIZWoScWhAZMToZMebv73tjOntjEHsQWlJaWozvY4zeMRneMRlarYwZ74ycMRmcMRkZrRnvYxlr3owplBmtYxkp3kre5lLOY1JK3gje5q2cY0qc5gic5sUIlFKMY1II3hnOYxlK3owIlBmMYxkI3mNrY0IZEBAZY8WUnHNza8XFvXsxWube5pylpZSc75TvpRBrGZTOpb21vZSclNbO1kpaSq1rGa0pGe9aWu9aEO8ZWu8ZEO+cWu+cEK1KGa0IGXtze2NaY8Wt5sWM5s7Ozu+M5u865u+Mre86rcVrzsXOc61rWsXvEFLvEFJrjK0pWsUpzsWtEFKtEFIpjClKWpTv5nsQKYxrzozOc4zvEBnvEBlrjIwpzoytEBmtEBkpjO9j5u8Q5u9jre8Qre/eWu/eEMVKzsXOUq1KWsXOEFLOEFJKjK0IWsUIzsWMEFKMEFIIjAhKWpTO5nsQCIxKzozOUozOEBnOEBlKjIwIzoyMEBmMEBkIjO9ae85rlO9aMc5rGc4pGWvvpSnvpWutpSmtpe8Ze+8ZMe+ce++cMa1rlErvpQjvpUqtpQitpc5KlM5KGc4IGWvOpSnOpWuMpSmMpa1KlErOpQjOpUqMpQiMpTo6McXvtUJrKe+1zoRSpZStzhBKKe+1pUJCEMXvlEJrCIRShJSMzhBKCMVr78Xvc85rWmvv5lLvc1Jr7+/ee8XvMVLvMVJrrSnv5s4pWs6cc8Up78WtMVKtMVIprWut5imt5sUppVKtc1Ip7+/eMSlrWrXv5nsxKYxr7wgACO+978VK78XvUs5KWmvO5lLvUlJrzsXOMVLOMVJKrSnO5s4IWs6cUsUI78WMMVKMMVIIrWuM5imM5sUphFKtUlIpzghrWrXO5nsxCIxK74RznMXOnMWUxQgQCO/mzoRSY+/mpc61nISce+//OkJCQtbv7+//vQgpEEpCYyEIENbv1rW1nK21lJSEe+///wAAADP/o9MAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAST0lEQVR4Xu2d0W6jvBLH65QajNT4wi/iCxDc2OTeSH5LXicPctQe6ROfNntUVsdO2DYJtE2axDCOf8m2NN3tpgwzHv8Zjx8CgUAgEAgEAoFAIBAIBAKBQCAQCAQCgUAgEJghtP8cmBtUCNQfBuYFxZzr/hgwGnt4gRVdkuD+GDCklf2RRyD14oNtVEr6I49AJPXCNr+6/sgjkPLDNst/+iOPQMSH8eaPanyMaSp9Fv0xXIqsKftDj/DDb6jyM09LE/h+g1Twm7mCso2PtvEhT6M6Yx4km8d44TexVisfbePDeEPzrIY/aA7wQhegQnEfbaM8iGlWTA9+M08ozpSXfvO7AW+boswU+JtQtOgP3kHdc+qBbbjK+2OooHJwexCpX0vwtkGdIsD9piBtexyWzfzmGb7fSA7dNmIRpd1RVLPzm6f+GCxI8Q54vQBOoqjFhyVPXugCxjYlaNvQvI6iKFVHtvFBT6uMbQZZDiReyfLFGKfN4/6FLV74TcVrAboCsmpf0jSKElL1L2zxYrzJWQ06hS5kkzZJ2jTNwR1CL/wmb9jBBQeMP5i1bZs0RD0fVAtVPow3eMkgh7RYNQSztBGCZdXeL+KF3+CGQ7YNlUprFjX6f1jqvWzAhzyNylYdJDjQqBCteNSIB1rsp5s++E0hWwI6TTPkxm8Gmg38+rRYEyZB+41B1y8DO/jgN0Jl4KtscrYe8xvo8xuKOfw7a7oeiWnw/SaWnByKHQARI+ONB/MbSmroKrSJafWw3skDv6FqIaGnaQ92fjM23gAP1gUf/FbwGLVN9wzdbwrmgW3G5zfgYxpqG/grvW2edpwvw69PizVr4dtmLE+DX59Gcc0h3yHYofnQbwrw9WkFZgp+4wfrN4OYpn4Bj2mo4wS+bTRbj4w30HMBTbgEXcix5RMdGrhtrJoGfurpqd/gVsFPBUb9pgJ//0Y15E9/CBgv/eaPanxoZfOZngbZNnHFN7Bj8o6tbY78H7rfUJHx41gAkfH5DWwdGkl+WKgKFDveDGIacL+pshr/rz+GjM3TxvwGsm1sKTT0+9EWH/M0AbsU+p2xPA16vQDwctt3cpY+e+Y34Mtt/6I3o/VpgHWBbUlnfwybfFsPfQhwv7ENObzwm890aLhzt1dSQ1+83jNeLwDZb6hq37xIBT6pF4CcpyE2aGYBlLF6Adh+gzYelD9tGdPT7PwG7KVH84UfM8/d3HPgN5DrOm3/J/hlHFuM34ysjQI83uQqg1+lvqPiyTAX6ADbBjO1v64YMkiy7HjoROoZ7vxGNcQT0xhDYPFvf/gXyHkaVYc9RnwD8PyG5l52t/0AsN8UBHy3wa8B7Dc59M5c3wHYb0RbI29SgTHg3vekZXPUQ9E34PoN6ljntdvY8QbmfU+KlY997vcB6zdUMemJlvYZYO97FvVAfwIM3Y2ctCj2hlCwfpP7sDraElNa5WKrCxa53N+UAGqehrxYgWuhOanb1v4ytFwt2/LDcaD6jVaZH8NNjMjiJYpMECgwS9Om/Mg97XgDMW6XzIeVhBb0pJooWpYoV4uaq73qbqj3PUkDvkVnT4G0rNNESaJkrg96EIPsZxNTvzaQFk3Usk4fXW0w70nbTSMhevtnUJ7+5gPhFqYOjbrag14cH1DcrPngF4KZp2lW554MN1ti0aZsaBuQelrpyaqbd8TqpR0U3cPzG/MbmCkB6b/yA4rbdbM369wBUU+j5X8fe73m+FKDCUVCLZPseMIGcbwpeFtSP6yyu7i0QHj1zLTV1vZ+L4h6mmYLb2o4Co1iKjDa7bNa5cD3v0Gy9qUK2oRnrkos8vihXL5wIfL9CgiAeprgmT93blS6ZMRuFmcytYaIg2sOoJ4mt4K6F8QPcrVST6/mEEnGj3aUBqenUaQW0AbILyi06MdOJPTxnsXQ9DSKFfeqmvN98I+PU09welqlfGidehLg8jSx4Pt5ps9A09Nsk5T+0HuA+U2sVe31mpt9gOlplDDpSZ3A9wDzG1Q3fvSvOQVYepptKODLvPN7YPlN1fHuThJoAyw9TU5dzEn365VvDSg9jap20iQNafEmsbPpFSQ9rcB8UrmmeKvZZtlwV9kIJD1NZ/WhiO4WKojqslWS8uMivxsBSE+LZaumTAQqidG/tFJJQ9y8DTB5Wmwuo2n7piK8DaiavTha+QNHT5t822iKtu5iRujWzfuAM7+x/R/nsAkRkpvMkW2g6GkFZtc6JZ+N5KelX7nKsKNcAIrfCJUNCh/PJn6IYxOaRo1QIK3R52Vv798oOXHUDgSKnkbJ6nK1hiKBCR9tS4CwYozVSny3YUvROVtdAsRv4jxjl6csBSarNFqO9JGsZPsSGV4Y+bqTIdXEWfMpIHpaReorLL1FMmvTKPlncPZN7hWtl4k1zvJxzD3jv4MU6qSzNpRA9DSxuIZaQwXummi4UpSKOmmV/Ect0ihqRlb20L8jERLS3ZUMQ09Dsr1KZ06TCLAo2VsmvgPhjGhqECyKkpEynqrD239TYOlIr7GA0NNiofi13qRaJ0d+Ez/o93YYeJWuRxpNCr5d70MRFlvD0RPz7csAoachxcrvkzSTIG9P2v7HAZSP+I1+XwZbyGV0vMVBTPPdvYlY463XHHaduR0Q8rTYbnjXH1v+npiDxSr2S4QK8/j4iEbOIY+Ww/Hm4wXcRKujuXjxxpqNyURoVUqBiqISOHciDEDQ07Ti72kvRRrL3BqlEJ056F82mIBDiDx4dMMJPK3NgGI+fxaTcJKqg6wDCdKaBCErq7zjXJVSEp656RMKwG9isncnuir5Mtne3cI8SfZPY6w7Xh8+xvqqmJj2RUcPipvkMFlH3eLZ2GaTYZxtzM+sa7ZSboSB+etpVPD63bNpuTCzEHN2Y8HT9fPBJY50eYQcXt/Gb5by8zNbkPRouEFYNSZ9kFhr/Nb/3P0Ae0Pm7zdI8bf3Kzku69YYh2nUMca79wUrp1zH278TZyamfe43gg0btAqWHtwUcOIzltnrabTc7NXWxCgXxEwfy1JJrdFB9DmJ0TztnVglfDDtN2Fumoa6M/eb+CHPjqc2Jgz/5gQPk2qrMhvsQpb+2X9jHz6Y33wQIzaywwFJm2l2cpm7nmZXqR1boWzWq2EGFtNKH3Gw6nhHwaPnT/1mdFN3xFM2zU4uM9fTqGB8cLaqNmqH7/mPflNcHcBH9FEzv/ksFyiw6oYZWLVIHd3nPGbmehrORm4yok008p6pJvyIelgQs53fjNuGCkKGIeS1bNKuP3bMvPU0SjYjd9TQKlofLJDaneui0sIGMm0/5fYhhjHtizytImpEgjYnKJ2ovGfWehrFnA/nElbRj37aB8rkaePjTaxl93eit68FabYe2ady3POuzKzzNNtdcGiDSsrs9/klYv3pzKJlN2ZXJP8qMRTtuxteHok47pixnhZTuRg5jYXAWj43wgwwP1jBFpv5zdi1aAYrmzjED7TCeC+0UWniCo331FB3zNhvYqzU4VujWhRm8okoNuNzhfbP4amYXODXe4ZA0dNuSKJV1mxKgS1du7/5YaF+tRhVu7JBx8xYT0OcHUY0mvOF1NiMQLYvrBRnK/W00GUbrZl43f7cGHVtsxUdKv47+t1seU7S7ON/pTlb109lOV42dWPm6zfF26B+Ml+kDNulBJXVoMXZJyzGpG7WUaPKnceZCzNamcHEnISXaFtnY6s5fu+nZTpLFmV5PP11Y6n56mm4VkcLXWJE2t2ATQXn5bleY22wWC3aRcvU7jYqLVltj3DW/qVpVwc3HgrJeLnX69wlc/WbGKnN20FEs1SiX4BDK/GTRADLEmOBy7KvyCjy3DpfZV592g42BnFYrYEErqYxzXa8mWOehiTvfnD2T+S8kz2RaWarpwnmanXYfJmnnjb7nvZOXGmeetppRU++M0s9rZJs0pWdM2GOeVpc8m7O9/tcMUM9jQrFZ7F6cGpm6Dda/WRe6RQ3WfX89DTUMUfr9+fO7PzGdhp3VJt3ElNNPA1z09NoXten3cqa8KQ5Ym5+k+/Vpd8789LT4oLAGGzc6AKz0tMKPK/BZlpmpafRJ56dcZ/ZzYgz3bg2Kz3tnpo/n8Cc9LRKsXvZauAkZpSnoY5D2VDVTZybj55GTYoGxDSOmI3fFJKfWT/peyowGz2NlvVgf8t7ZyZ+E5dZNu8lwRMwDz2twNk5E5vpcRLp5uE3T0qNrN+8d+agp9FcHW+feBK+JwMz0NNi3akrNK7zj+n1tFgTMHNOt0yvp9mF4xMtDPsxbuLc5HoaKv3ZufvKTJ2nFT+vRfM9FZhaT0NYjbZrDhgm9hvBuZs+cRCZVE9DIhtpXAoBJ5FuSr+xrR2E3bs/MMqEehoqs6zsj3+E78nAdH5TlFlIA75kMj2tksY0IQ34ion0tBjJ8b1OYOAmzk2kp1mvufu1tt8xiZ5GNVGXN1fyPRWYRE+zXbbByZsTMEWeJogxzYTXIxTc62mFeBzrcQoLJ1eWe795UlkZqp1OwbWehsR+C/vL8D0ZcOw3VPBQUXMqbvU01BnT/Nt/EfgGl34TV4Tzkca18HAT5xzqaVQrFsSAM3CnpxW4Y901Z5y+pwLO9DRavHEWVqefhSs9LScmCwjTmrNwo6cVuRlqfOrt5CTSOcnTYsy5y81+PcGFnoYk57fotuF7MnBzv4mNaepQhPYTbq6n0VzVoTDgR9zab5CwE87+C29wE+durKdpwrK5N3icLTf1G4RVnd2s0bPvqcAt9TRaSbbqQur8Y26npxV2u00ZSjZ+zq30tNdK1szfPnVOIt2N9DQqOFM4OM1F3ERPozmx+ln/1c3wPRm4RZ5GhWo53u03F/g519fT4pxwTkSoCriYq/sNEmSx3WDOZ9zEuWvraZqsOMlDldM1uKrfUI1VzTtHGo3vqcA19TRqRpp21VVh65orcT2/eX0yPqNkqAm4GlfS0+xOzbxld2MZJ5HuSnoa6thGybM33w58xTX0NJqXirPsyfVk0/dk4FI9LX748yrUgnXn74oe+IaL9TSEFQ/3Am7CRXla/IB2KcC9jTNuQsRlepomm4UqdZABbsLP/SZGQtoUQEw1zvieCvxUT4sfqJZ1wzr9GmSAW/EzvzGGUXVIAW7MD/Q0iiqTmzVMgdpB4Lo4iXTn+w3NFVsYlxHBZ27MmXoaykuSsUU2i2DmezJwlp5GC6yappYahVoAB5yhp9lRxoz/5CdbbgR+wEl6WvznFWkhs7b9byg8t7iJcyfpaVSXirVMSaxD+Yw7vs3TkMa4U5kxTTezlhq+pwJf6mlm8k8rTFhjXKbMUVDNHPOF31CNu4yb6T83lgmGcc+4nkZpgXJMsk3TKhlk5iFOIt2o37xWouNtyzMiRV6EucxEHOppW3eRkjwqvlnVnZh3wux7MrDvN7GZxHQmWV62LOueKhocZlpsnqbNJzO17IhSj4+PiphIFuYxM8D6TYcw4axN1r+Slqs3oVFlHhbz0R5uH/3zA22fEz6QeZ+nPxG9YnByE+cKkkRN2yTJOjKs02TZrthmtWCLdtF6BMQGFFTw1JhlHaVRanhZv1gb+ccL+2HflulSAWMczNrNarNizDoLY+1qs1gtNgvzxcb+McfbJ2vNc7VYtR8fmfk45ePjXX37oa1BirRFLp6ennL8JHrswX92B/Zhvrt9aQz7+nR/zBs7jSeB81B2ei8EQwemZ9Y1bnftItRMVPrDwMzIcWhLOFPQFbZec82dxDn61rAQ0mYIRUJuogRX8719d7epgO5WSRqlXN5xafVMiZFk6yhhSoZtC2dHUckm5bgCV8Pr6lKa8pKluEk7Gt/3BG+mIJI8f1m6+C00f7ttWcPdXjYVT5rLWrbEpGWhev4W4Ca5dOapVbsJu7neAJk8d8d5QEwLSl9PfiKdJVGjtMv+oPcQ5wqVtseN12NNMkVOfxDFkihKVp5ugTjZZaDrF3Ycjeg/y5f0nMfvxMxfIzODvUmng3tNBehbs1bHV3ul7Jk+g5eX9fZfNLL/CYErQNVz0vXH77w+PWYqO/2pFG+MZRIWdkC6JhX7zcTDoKiPnvdA5SZJTTLg0jL+R7q8/aU0yi87q0XHmhWZeVn9RUxyIeBkzbHA+UX/OWYNv+W2+3eaDIjmZfOIq4vchgpy4U8IjKFV3ZWX3pBGQbC5OjZWIASzw8edxrlA4FRm4CLBSwOBwI0JYSYQ+JKQDAQCAd8JQSYQ+JJZuEjw00AgcFNCkAkEvmQGLhK8NBAI3JQQZAKBL7nURR4e/g8HxE7TeXoVBQAAAABJRU5ErkJggg==)
physics-General
physics-
The displacement-time graphs of two moving particles make angles of
and
with the
-axis. The ratio of the two velocities is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492059/1/960065/Picture183.png)
The displacement-time graphs of two moving particles make angles of
and
with the
-axis. The ratio of the two velocities is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492059/1/960065/Picture183.png)
physics-General
physics-
An elevator is going up. The variation in the velocity of the elevator is as given in the graph. What is the height to which the elevator takes the passengers?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492066/1/960063/Picture182.png)
An elevator is going up. The variation in the velocity of the elevator is as given in the graph. What is the height to which the elevator takes the passengers?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492066/1/960063/Picture182.png)
physics-General
physics-
The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is
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LZlo1V6WLgoH6OcHCQm8WJ+GegnERo8rk6nC/fZDj9RfMxlkOsaypWrxjcObrFX7bfvBEXes5I3OmsOkSFA4n+HUPpIVrAH7Tad+8P8Z6zupozvdTMZMn2996FA38uKFZm4E6JgBm5/tCGj7jlJ6gGtWrbfPxPEO1JrGoUEVMP0N93J/ZxS+Mb/zoTKkGZm9yvryPXqboRLvgQEhGdg3e6j2AQrSYN6/U5XjQvq+xMT1tUO8nXkrT88k++6e105Txj4vGYbZRkmn4kb9vMGui/drYlYsIknZx5CSKt3twHSH8boza3QY2uOiuny6BsTD2IuaE2+8+BzNlIBSrEdErPBu9N0rsDTukEo+qq0bkGPJVouVtQRSncWKU0Blb9UMwn/08lGMTZy3Q+OlUH79fs5B/BZ5rMrPTc2sK23BM2n75cHPm9m+jXqVJ4YhZ8FraG8fOJkJRmQYXI2EqT2NiWJulkii/1RzVd3ftDG2bylOszS00a3+jSnt/ZovVnNqy28mt4crfMbUxCD2aXpArenY0S/oDXRX90BG+jYGObL40Hbd5zBAc2xvH9HbiJpi/T8HJHYqTmLvJQ5Jye7L4qE5OxPrJQyqdzSpRlxPnOPBSSb6dXP/HrxE0eSvXVE+8wUbCp4uMKYHI8784JolYjh5LkrnzLLnfh2lRlYihXHjKE7zGUHmJyG0oXzv7zQMpstIqQLLHVThN35n4Rk7twfaXl/rn4CC26TNnvGFUXjkvVEbkTgmYUN9TqjQf0f+45t3G7knrVNCKFk+gXV8UZZfaWjy+NDwwE0whDJHafuLvWCogZuCFJJyR2MVlOkDz7Hrso2Ljmyz3XjKU6Pml1neLzHB6eTLBQbpe5tnx/2Gq3G2kg5GxCS6fqXHiNzwT0XH90NzByN/uy7cD9GBeYq5eRtSgiPGcpy69WYREkeRexNa0uJT8uHjF9nG/8rwOTdLIYNkFZrkF9cLFYCby6lzFV+Gw0bVcLzq6wtBAYLiVo5w7nuGmqLy1ob18rMEknrwOdKCKdGA9IX9LFZqFptRjNfElyNd9Spba4vpRlv49ZTRuRwicSzIoqVCoUBTrQGUF2Y11BUJhWTgOfswHb0oEwxKpPUTxNm3k2mjQ+tDD+3AzJml5qq0SWSi0UZnCIlFAxmqXVkVLgdH6TzJncBRi4gc47vPo93uJXvuWhfEHuwKuziUc8kxj31jycnAuhwTcu87xOUjLZy7AyDwwWzaERHdCbes2YldRfWTxUjlBWufDEv+Z+faMrZv3s0mmDI2v4PFJsuz9BaHXl0xYvtik8jglqzEGSNtujkbslI9IM3IoO30j5UblfX5kZ14AWjC3TZQrXO28AnT96mT0O+zN+PW4ZL5LCjBzOzIpLpKvDiBQ8nf2/uG28YeAXa282Zgn8oJj4Kkg5iX7J8Fz06wOTsT5tVob29r4b00rzqEPTI+AZZsbSMA1HLwsNkSoBPbdJu86kEx0ens0gWwncE85Bd15438aIm1LTUngoKHXh9kW8NibWJaIYVJ0TGvZg/4LkO5yVRaHw1T1C4hrDP05S3HVJ/NLfMlvhndplO0pptsvKC4bqrF1Jvekj+cadlJeS+OqMTmQhfgmlsvZy7w0F8+uiGesCorGoqqYKrw0ckQtjW86YUGa2BH13GKkEf04jzgMDDy41nkGm+ml76zqmm9Mw5FXey6aezZANRCbTFVhzD4bkxUItan01iBLDyEWTPQvbGscPS6VnsIVClkbiXGzK+yhYBYaYHTM1XRUP/BfJPoJPYTSZgbAcetVn4Auj58Aa/ehvWR4EqYeuibd9F25O+gAz3YXWIENqlqOiOZmtcguIPlTmCOoNwZ6LqgTOXa5wAX4KaLQ6JiByu0PjECWDugTBwJny7FuHgcili9AGWg6xZ9Oq7o/uJoCRe6DMbQohBBZgCYYhDs2mO/0vTkBkTefNS0VLSSSt5pTOj83eYXHLjVnAFLd/GlG9GzYXX0b+7qpxnkirZX94N0bmHjhyYCViM3I4xEkYzruW6GcgOgthfAVu+1tSIeb0OAVhUL4lDPpqKu6IDDryxM/moRyBcusMwUePHJJ5O0uaGzi6tJfVfibzPI9lbvJpTX/LnB/HCDj9z1U91/ZduKtczVUMpbnmiRtOFB/cyoNnyw9InJu1FjsjwPTa6w/Pwk3SyV3Lzu5kbvDKvxUPlrkOIssMm4U3bVVEz69GnNukk+a+spNAOemdrvFikMxZ27HPkDmzIdYurIoJWWCrTNmrdeLt1gPlfSqEsMJF9AsVA6zaCGlrawhljx85pMIiVwJGzi5Tll/xxElg+i7cWx2w/77J4T0QPmCq3mtq3FYrniFzMcYcfLN6QlRjJ3OXbcu2Q9ooap0i1pT94d08Q8+B0n6bMJC5jV3zT/DnLsxnhJuGGYtR7MT6ljY/3RNvaTNcWVhM+A7bjJyxLc+/VXD6hyednMDZThMDXmZf2MdQnqLnym0pS1HHRVYOiF2e5VKvPbJhIHGZRYduot30Tk8HKIQoFdYR53UCI+ci0nqBN15j0Zj9GhdWiXGXbEuSXuq7MARUJy5yvyQd4onLhY3Cb3mGzJk3ikNA2WXuX6grQKaa93zfhSHwJ+WhtCD7ymaj5x6fLv2GYqn19Rzny5y3LQnD02lil5XhKIaSi2TA29i/WWiNDmNbPnRNnHyEC+zf61nbctNu9mGZThO46TX8u3f6gzEy99A1cbRk0q6ZxiemruCUBdL2rLBeAn9fOOnwJOmg6Jd9z+iH6zmJBU2lE4v7zPqc2ezjYJeWeyHaSUO8YbYlZ9YBg9a2fOTIoYJSGLxC2md1Bv89mRGpt2YJ3DpAH20c+XNDgsm6TcK34uEyRzacgVNAVT2gCusyJ23LTZd08pyVFVcQB3koz4ihREHMih3GtLAbu1M1q33fBScD9xzLosVB9Osp63NmDslZqfCXgrgbOVGzCgNnkk5c5NcTN2sFm6Pe6WcAmRtF3LJjFtfVi5AWvsGJ3untnhFuNlB5TO/000QstI5+PSeGYla/lovqZdWmLt/LN3+uSzpx9Pa5m97pGh/1Tj+DrG1C7y1PkTkSp3WC8VbZWZjf4pZt0omrLYve6WN7EB0SDVp/vczD9RyoD13QeSN2he0muV9syy7pxEmDPIOz3K/d82IoDx2595QKgXf2PoGRuSPb0qykvl5Kvb0NV73T50Mizg54uJ6LM2H88Jl11NLI3EG+JQlqUwXuIOmnB9VWTck+kLQe8K9u7Ptx80fLHKpLe2nrOMq37PouOOw6SHL93h/agPQAbfkWF9by/fgYCkeuzu5hviU3fRecZgtFDqLAANkMiArsTW6HJc/z5+xBv23Ld5N0cm7PiJ9PxEYTQ3HC73zLtpXPyX2RLHDTO92UC15lXDEUez5zvxCbWyadnIDw2EkQTQ6xcxzUzz0rhuKCD5l7N1sP3NR3YQgb5qQlX1wPiH6RJbaOfo1L5lp/jmiz9YD1SupX0A7bBFU/GObPxam9bfkzR+7kO+rilmRplsCt0rxOglzv4X8JYu8o/VyZM21omUlu+3x3bdyyLd9/RHdPE/1yYKte7fvlih+r51Atmrk4qjcGfy6YmPJ9/Igl8CM//360yAbInJOI0s8cuQ3DYldTsT3QZ6YfSlsF7mQl9Sumv2V/aMOV/pY97w7WCn6mzJGlwGxDeN0cBBPBQikyk7vgaF3nGCJzJ9GvfIDkEllbZ6f/UD1H6teFmRH1tvmt0pBaVc3LwzqyXmh6fgtDXiYyNWmW3Glbkot9pq2JuOpa0fCs+V2vAvPDdFo5qbj5w+xT+8rHVuZuXgokyH6evgiCkTOfXFQ3nynDbzGdThsXxdyncdM7PRr0mS5eXUS/Xu6oK+A6zZ2kSp2GcBW2Mofq6rOlj+k1+kCJe/weIb8hzEHfL/WrusM5IrzMatvshAtwNW/f1Qxk7sMDiPT81VXSyQlI4WR9nashykdSawuF5HVxV8GfVHhb5o/aavlD5taq+j0jcFoxhHiwDjhcudsrklgs4cW//eK2K2JgDZsmnJeuiOt6idZf7h1+NZfurV77S9+v8JRCrFahi3KBUwSLpjB6DiyV9nvLu1qJeRjiOZ7DFb63h1g4ucXiZdqYF7z0oMu35guL6VR0b+38VWDRVOZp334z/CowTkxPNfPH5+HAr+5vCtOMeIUfo3gIzJLwwoThg9IostyZ3D9zSdprf+zmlpp91swP5gb3v7jx2FxoBm/S/Ai/OHlt/wVKzTfz0y2v3x0fHrSXBH475Kt9LE3wq+kBvX1ABNGQh6KQSNOjfHay6VvhPohZ0B/Y8N5/v4aLv3UP75zNV01SfGmH5wzEcAVigBeu0ik9PRFYKFkqZw/LBCHFNsT4Un90zz0QWewefFY3PI77Lc2ewaAONNcgplv1VcVPwMSz/2NvoDpufxGCljomLqJ8PwUilbJW2aapIKZFcPnEIEYTSgvbsYOXqW8PhkSPjn49GSSXSrTWrA1Eg90YNuHlNo28wGDNV1c33bgCWYppc0/JsrWw/yh4vVM7bLs+Nysx4zGYVhebXUhKJZelsColNHZG2DSP32nip4O0XhZ0YRnMJrnpm0/U6mI34kCbHJo1Pli+ugNU4B0d2e7kDyEiiCXKVgN0ywRlc/mF2gehbXPr5jOHEAZquZ57mQNm6dZW5jpI/VpcXVxHbE5tsl40pprXoR85YMOwtcwZSE7nl3NBia5rKpSFmotQHdYztPAyZ0ApdlL+GtNrO37xomoaAV7B3aedFOBUTGDkrNvh/A0gtnVRRokKcc1EJTxfaqbo/YlQkmJGCF+IYuNiGX/kGJmzny1B9wzp+xaBwDR3z5eINY1KC/BAt+yK1/8vQBi13qEdDFScXcmJ2PcFluzKvvgXIGxbiVBUZqddxwVN44PsQebUmlh1kIq4Cs3AXcxEIrLQJGoXIO81LgmXmqVFHTaJtumL/Tew0akKm0ql2ibtnZQvU1ykZckuSEJk1hzrYoExs0zMXavqJ2anPxdQT2DvNQLftRfTB7xuXoWBXoptrOv2MTurD4kBlc5rCMfHTOolyzVj0krmYq0ZvBDTF3OywLRkbGm/RAaTpr1JNXoiUD0RXPsf72U/2UfR/trLvMGDnExz//xc6fF4PB6Px+PxeDwej+efhfjIyGDuOlOPCvUSrn00cjB7JKWMeQy3HCHOB1X6v6H4EYXyG5Nz3h97rkFSHIY4SXA4p5rRxaAsgz2j5dp9FggqcOZHbiiI4QRX05XAWOValYM2SCZL9YgGH5uUOmli9Y9ACIlYFcoZAfvAVFHBHe+cczTZE/jWFS2ZCiuOfhcwdQ+cdQ88mDfbO9qCmfYZppDMPIcEcDyDx+3bo3amJRvSPqZv/Q2HQcz8yN2IDmkrQrzQiORpnlKcFJww+NatcHM1x4n6TIJt80k2LNVpgg8zNQkvaIKp2XYH1TAFq75bYE7NNm4woAh+n+DMZIhxluY1hr/T2iS8hENVZ17P3YYW3TbzWii+KRoMp19UqqgT0e52vUeFaLZw8j9STEgR1mimBDwwbETxWXTNCzwPQ9PuBLGwwXi+NRvAEq6qCp7NZqQto64aI1kxFQlN5q/CfB5QEVYhhsvCj9xNLEXX1W9Z7TgpX1a1jIvmFRdSK1OeNavxIuey3pZ9thWphYKRmzZFLGsQoQ/dqBusuQzeTV+JnY45a4u7uMLwgnldw884jaWmokYTjqeCwdMFiBlhc8pkXFaNm/KGfweQuTaLToNtR9ImhOkuoG2PxphiOZHbykyAbXaxedhkX+IFmi2aLTxrXePPDH/W9Nv4ctoWJsKUCZMhjKeZUHkuadeaR4omhz+wUiCssaJLMlPtdmxBVjncseZfINIgc0ZudAizZRmWcPq4ouZkcrNJqBai0NrsGNv3tyNlW5QRmkeAKV9+OAhShRnLQXHxpFnoJSu2lUIkrbrGc28S43bnuXVS5W8xTUz2VlAnDP5Ku6HTLKV+tryNT5kDPQejYhr08Doz5kVAhZ5I/KsJhWga0UtXVIQgc6oVNlBRn33l3viiaYyYcbpqRPuMGkVM9A+I6bbNXidGIgPatsxtRRYZyYb7WeZ6B42/nOhDzxmZg5EzMhernRm5GMQD7m4WrCjTlH3qORg5pDqZK6uDDbA4WyQwp8qk2bG0KFIGSiz9GDmQuXbkEG10ZGQO7m6bnKGkbek/Y9als/8aIHPtKdVhFvcjF3zMlkbmQriJTHJfD9iWMHIwW7aGfni4cT8BPUkRPI2B89bVWrEGG8sfcUm7RmYSw+QYUGwMz8DMuTCUpqMnjKL3526DiW4DkqVQ6/dalP+/tRxM9WmcNHoC0pUi8raP3vqxg9FdvKOsk7n6U+Yi0w2YsIa+g1DW4Lh36ZegJhkim6KUhakEIbGxTCcywabkGDzFlJD6FT4ypkwn8zJ3C5GuumkMLBUZtXb6hGet6xxjUElRrgSt60WpjewAUVktgpmqOpmrVC9z4KAv6pIa9cfrENcAC8hkk4ZClfWueF/XYr4os20NjmG8DY3MrZWA8c+pgIfvcGW1i/A/SL7tio0lLQPCdqYsMSgXRg0Fi9Z2kdtVUzXhR4QDTImCzMqsdaJTmvb+HGK4aaptGzjhWVNVlVAS5IqAI28KVdt7G7jTvAxXyjj2QUFNM888gUcoUI1e5m6CdKFE+I4I6CNjh0QoMIMZBW0NAIl1nufyc2kHHvMWIT6Dcx69c9R7BXskc513S2xkDU/QedzWKszMobmbcPnxMiTg5nek+zuEt/e76GLl+UavzS5y+JijUoUhT/Z4PB6Px+PxeDwej8fztzOZ/B/Of6DmtaNyAgAAAABJRU5ErkJggg==)
The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is
![](data:image/png;base64,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)
physics-General
physics-
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is
![](data:image/png;base64,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)
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is
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FV1Mp1YqycJVP1aoUW6ylcKcrI8GcU1W9GUaUlSCmHGCKOXKWy10xBGW5YhK6IjqHQZxN1iA99tAOq8Ko17fC87EP0xeUeblpPI0dRKzzCpxM1PvTRDmIO9kKoUtumWBidVbKep00CiWJxZZEnE5XXp9l/25YYi2Bfg9wLlNEDs6zQmwYP2spI3BieSdRY7FOkJYRQcu6nxMjay4nLkhSLkG5hUnontycSFb8s4Yc+2sEvobaDe1ayaMeskKlvfmLyyvG41GMR/PwcH0WPzynj/0g1NgE7alOd5KTTBPfknTI4sy4wi3nKkiH4s8zUuD5BkQqvmVqwGDmibSyYmxU6MXnyFpiDZaMvnkJU/QMJe7wVfQV4JwaYcZSkdFbeEFWtkUWryd3gpNbOgJ8v6hB39hcRosAz2/GJelPtGGH41FpwwUTDmqtUIfrjRc3FvtGG4LXHIrZMOE4VOubMSjesp8G4KfqWTediP11U/1BiO6ZbkE7aIYIdGUnLGvMOPTJpMXllk9ANwLmJk0HUn3z11519HnuDF5JEpOWuq42tGjortFqERtIjOVi1GuwHz1T/b6bSpkd2RHBUTjyB2NYRpigYMqUVGhYhvWVyVrX8yaLeuBllQgQKNeCY+kzCUiRdliQtgrtS3zNvmRQsKgPoDxWVH0rMm1E3YHsowdxVLnfJwwq9aRHmbiEIqNexO/AzRbXFPj5H89a7zVwqrxpQ4+hEw9np0oS6FepFnzvnBlQOgP9EUf2/xVGTikkJTMSBq5NeaFR3LN1D6UzdNo7HFqXh5139h9MF/2d/cuckC8mDx1+aBRzwweKfWhfuOR5ihkwJ1D9upnKxf/s3z4IGEeeiqZLnUDCGic3S1AtDVIeNTM2BnyYqFvuzOyeqEGPrk1MCx8gkFn7X6CHLpF0cwVOLgaiQf5SoA36Z//nnaCKT2hGoIpMFLzSs0AWb+kIB4pVTtlVk9aNEtevT9vYnvHuaEyTf6C1XzrBg8mpd6FyPMml0AO6e+DGixn8zpQwTqINIhkPwKqgqptah+x53rXqErsmG76vSdwwGqAH8kKs/Fvvre3dOWj9Z18Kx9TmqsELd5KWKFh5QK7yFzZPTimwj/IiZapJysW9H0qOrqQtb9si9I4uu3IMPte6itTDjU7dNMWjbjz1A5CeIipOpPgdmCXjM8AQ5j4SlgTtoL88Y0i43TF55czykviRIWyCmw8K/FxUnU/6adALoUpBaiXuWqaEc7v1FqyRyFKSlYJU9tWJILAZy+/fn1PicMntcDY2LIXoPB+Apx+jLJv/EIix4AasInvs9ovzHM5XXJ/yBLvWZQM0WqQ+zeiRqolE2+l1rrpKxttGLro9xU2jZkljp/1NRcTPqxm1ob/lATclBbAtv1pKzYuleMJXcJ0RxT9nwQrUhCfAPRfU7+7f/AEpE6mTBkimKzm27Y4VKEW/BYytDXnhUK3hNOeq9f3ZO9b95Xn7mt14ZtYfsWUD2rbiHTAvWgnSY5gxMGZUJL0qvI/9oprbfPFMfQboIjZNFXwzRd3DSG702inWB2ZJX2fKKPFueReeZRMW/EfXWYp8oTXuQhXnFFN6CSLNCzdK9aOWkQiMKcm+1ER+umDT+hahxMoUQi5BCDnu4zgBxi+Etd83OZikKBkuizT0gedWaGWxLJ5gR/r6ow2CLfdw5MVYhQUrXHl+UoLKW3JU8/ILVBNdjKs6S2ZPHSIbGEt0+f1tUfOjjJ3f2KZADpO4ZtW10WZJFa4EpiiSlz2aXlXy07Ru1ONGYifpXr/5Y7M8/9NEQjZaplTdQyeSLuRWLJi9VtJrbhlhzQS2mA/3uf3Wm6nPKbt2GTpK1YI/VMzcWyhzxnGnBKslt0RG4o4i3vROFkKNz/EVR/TfPdjI1ARKNO2PqJFIDmW3yGPEcjQW7SaaOwNRYDJAGy142tBtLhr8mat7ZhxQzeFOJse1mD5QVozzrZoWmyUuekObqMGqcNHPrTMZKq+AviaoPJZ7/gS7hPSZ7iMlZxBdYDg8T92LBCoV1oXPbSJi8JPNhIkkOlZYQ9d8RlSfT7eydUdBFaMzAwh4hCxIW6UreK2nRFApddA/MjUX2ngV5BcrYAn9D1GHvH0oMQaaIXpFGFaOX5OnKJF4vWk88zj03C9oxRuhqGJLEWKQObPxxUQdIetjNTqatojAVqOzRqSBjRffwqUVoRU3wKQMBGnP4Tk4TSz3HH1+nnraH0Vam9sMXUdqpV3S9kitl2aiHm4bDtihnFYXqxmJ/8eatzty6gve8/sMzdbgcNht8rJYd+gylJ6oHhYIhtqhVfmryyhgmXbhKr8iiUPYYI4lZY4I/KqquT0d7+q+7PymNYeklDhuG8xG/AdSuMd7c9yp8wVqKAp7lhCEwAaLebbHPzi1F5Z2GPyhq3tnH3+uN+bdlSHt8XISoXcbw37lFL+N1swW3B6qgvkj4rCiGXilLMfcISiQcab3gTLWcoh/+Y6K2xb79JDsLNFUHO89uRjsnSL3LmhzHcB7Xx8MGHxaLvehoO285rdBmEeCNzd2DReVsAzHUYkPdbxF/SFQt9vPOCVQ98DU/ZNkfD4f14Qr1bL/DuD6M4xbq7z6Oq92V6odbYPSiIx01k3e1p6nzISq0pD4JqErB69rKfVoz2Z8R1Z75Byz2IYnjeFj71Wp12uF/x+6uo60JTofrzjrjFa3LZm0r2rN9PXajS7d0WfJo0Apl0ViUcN9aVMdRqMEqecNCqwNH/oSolHTyOZqr/RYfAq0C1yL7yRuT7/hxwHJre8VHxJ924/Vwwd7Y05WL7Lxao5WkW8g4SR6Q1ImvDeLDDh+7gdno49epN+6crM7r9VkS8RHYtLQ5Oew+7NSK/9CNCbran4/6lXVx2ZyY9cnJNOBnFVcS8XGGTA3cs/a9QcRIG2384TN1wAJq4c4JPjBiR51Q2H7rD5ucp/UV89cuUTZt2bcR7FTdtuC9FYoj8hS5K9y7jSDxqn1hdALsOyZDgdJ+sKj7C/7bweLNKLy2gnCQ4rLdrq9W4ZQqUQ84F4DR5MlLNbOF5D4p0YnM5F+RI40nRfYERG5kDgw9VFR79i79t+2ojge7JlnGR3IatrpOcQVlM1WXsQhy23orNI3O5FUYXKPuqMUbWHinckdfldqIPLeGB4rKOycLb+MBeNSnw9pPmKfL+bLDB+3z6Y8GZ6o9NhQ1MDU2s0q4kXdFevSYw9TERp6YNGbji/BdHiaqJJ39n/1SrvY7XNohDrC3xdR+v8aKCjPV1lfcqXnLzm9YTzsmys1pzww+RuTeOS6e5T2UnR519d/zPZG3Zqnn85qvQf1hHq+2mtpdrYUPPjaOY+LuLZNmmpi8sSiy8sJboiqDOPdGFkRjCbRskwuTknjITB3iv23fggu0Xx9M1NXpDB33W+h5gbI2sNHpNvaM0JE7JvcQpbuaYkTHfIcKVNm2LesePrKAR4hqz3z9N1PK0qHr6Plvi1J7sbU/HcfxwivV9nQ6bkZe3ux74UuMKGRasJacOcED6jxapCpjSPBO6cVIj+XuAh4gKiWd/WtoydMy6ZEfbnJab8bN5opbLDibXscNXkfZY+Y+LXuxYDV17q3W8CJjnyx63UjdIQcDs8Yivi0qXz8dF0+mFfZwzE7bNV6UnnZbg984OaOwBWyK6OkT61MlinJWbORAJo++R9KGtlfZw6AqG2XE8U1RudjHybTTNAsQqhTVDhd5GEpmixxSEWy5psmdqRSZUjoLQdQbGrctd/BOGVpEbfueM3zr6j9osX/vZOo5BDpu+KZU/3I1xaMqO5t/atUjBHVoR3U0yiTm0RuGbqgOGLriDr4xU3ln/86vSYMoI9o1iveqy0ijzZZpWgmMtect0RwkoqvUWCJ5kH6fuusn+LKo+AcSeM+JsTvQoD0gZrzG97UsWtRMjOOlvm2TwKTcSKsI30+l79GYj5QUsaA2tJd8GV8UFX8GYZIuXPIjy2sLD+K85S9WYySdD7FYoWnyypsjRBEsKgeJKg40VJ5V3wwsd6f4mqj8AyjcOVkCNAqQu25g9nV6p789vBgAVatVd20SgosEyw1R41lmsq1ULTX4Xr+Hr4g62CJebzOFFg2uTMSe2kMz2+/WtuJXLc+hZoW6yZ11wYdUyCcbIhGtrtlgrRgVun1y9Ffwhas/Fvs33xOZwKg9jqDCarjolyrhScm9vmk1wRtD0Xr9puTMspiPllTh9bQd+877HX57pu6PuD5Nb0ZJGFeoG2OJoL5EZYt1jHjvUzPEcbGcuG1JSoPUWcKraMZuU6C10L6H3xQVi33eOYEg92CPA/vEbp7t541+ozp20U6Fz6z37LXQPLdatxRteYVKb3ZFxUJrEb8l6p7v2T9Nr/lz1HF7KJGMmKh4cGzk1juHk02MR5ZEgR1337oaqeaE92prgjZ0Z6cZfkNULqPwZ3pG4xj58JdQ2t0e9vN+5+E9J06/KKqtho5bfvSbhGya3pxV8qyw2c/DnX71I3dWKKzQaoUum/ymFRpWfbJDTzs2d7Nfnan4Zf71Y9wev4vdx+jsx+HSougc6Oduc+dmcfvxS6LaMur68XHdbPBZ74DlTWfyni0Zvta5p2aVJJcJzDHszm2ChVYP/9IK/RTG9gN7+KDI3BQQr7YY/wXsT+fT6XQGLIp8Cf5NXhsnOwe88cYbb7zxxhtvvPHGG2+88cYbb7zxxhtvvPFVrFb/AzIFzQmsLh1hAAAAAElFTkSuQmCC)
physics-General