Maths-
General
Easy
Question
If ABCD is a square, MDC is an Equilateral Triangle ,find the value of x .
![](data:image/png;base64,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)
- 75°
- 90°
- 105°
- 60°
Hint:
diagonal bisects interior angles in square
The correct answer is: 105°
Related Questions to study
Maths-
If PQRS is a Square and STR is an Equilateral Triangle,find the value of a
![](data:image/png;base64,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)
If PQRS is a Square and STR is an Equilateral Triangle,find the value of a
![](data:image/png;base64,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)
Maths-General
Maths-
In a Trapezium ABCD, as shown,
and
then length of AB is
![](data:image/png;base64,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)
In a Trapezium ABCD, as shown,
and
then length of AB is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKAAAABgCAYAAACaJ3mZAAAQ/UlEQVR4nO2deVQUV9rGn0ZABCK02uAS2V1AQFRiBg0agxgiJjIuGGMWFUFUFgmIiQxfMmZyzHeGJcYEBcUYiaLGfKAtBFzHCS6oiWg6GtxAloGAsrfQQPf7/ZGBiCw22t23Ket3jn9Ydfu+zzn18FbdW/e9JahvlBGUwNhAX5lmPDxK0dDUDADQYayD5xmHNyAPU3gD8jCFNyAPU3gD8jCFNyAPU3gD8jBFl7UA1SBH/u4wRKWXQCHQgW7/gTC3c8GMeYsx10WEfqzl8XQLRzKgHNWS4zhe44SlK5Zhic9UjKg+hmhPZ3hs/BHVrOXxdAtHDPgH/cwcMfM1b8z19cMHW8S4cDQYis/9EH1CyloaTzdwyoCPYjQhGKGz65CeehpNrMXwdAmnDQgMgK3NUNQUF6FOwVoLT1dwZBDSHXJU3a+FvokpDDn+p9Yl8jL8mBSDLw/+iOu/N2OAyAL2f5mNd1cuwytW/VmrA8D1DFifg++P1WHqq9NgqOZQspwvsT7+MH6t1pJUKy9C6nsvYf6OWrhHJCHtyPdIil4Im6Kd+Oe+O6zV/Ul9o4yU+afdyOjcOnsatOgASYmI5I1UdmkfffDKCDKfEUN5TepXIN2/iEwEAupnMopm+n9G3+VVUIv6w3ZLfcYKshjiTUmF8kfOyKihgf31bPMVhzIgoT7ND88PGgThoGFweWsLCqbE4sThcIzXwN3GcEEizmd8gZAZRrj6zYfwnWiDUS8vwyd7L6C8Wf3xOyLDhYwTqJ++BL6Wj15ifRgZac/aTsGzsCC1pqYGGRkZGosnu/cbcv91Eqf+fQm3qpqhKxyN2SvXYaHjALXEc3JygrOz80NHpNgzbxj+bpkBSbw7tPHKtS1I5fgg5A8iIyORm5sLR0dHDUVsRUN9K/SMDKFX3Yzm6gL8dDoLRkWqT8UPHjxASEgISktLYWBg8N+j/WBoZABpfR205Im0e7jxDNg95eXlZGpqShUVFWqPJa++Rkc2h9IbTkNIr+15MOAzOph3j1rVGNfb25uSkpIeVkKFm2fQc6PD6N+Nagz8FLT5ivMGjI6OpsDAQLXHaToZSU6m/Ugg0KNBDrNpTdxh+rXq0QGAejh58iSNHTuW5PI/48nvHSI/G1OaGCKmovbL10D5hz6hj769oxFdPfFMGFAqlZJIJKL8/Hy1x2r8v9X0kk8YfZmVT3Wa8V07CoWCJkyYQGKxuMPxhl++ppVTnyehmR1NmPwCOY4cTGYOs+l/stR/N3gcbb7i9CBk69atyM7ORnp6Omspamfv3r3Yvn07Tp069cgZBaRlN3HrPw+gP9QOo0c8pxWrg9oGIZw0oFwuh729PZKTk+Hu7s5ajtppaWmBra0t0tLSMGnSJNZylILTZZlisRhCoRAvvfQSaykaQU9PD6GhoYiNjWUtpddwMgO6u7sjODgYvr6+rKVojLq6OlhbW+Py5cuwsLBgLeexcDYD5ubmoqSkBPPmzWMtRaMMHDgQy5Ytw+bNm1lL6RWcy4C+vr6YOnUqQkNDWUvROMXFxXBxccGdO3dgYmLCWk6PcDIDFhQU4OTJk1i+fDlrKUwYOXIkvLy8sH37dtZSlIZTGTA0NBSGhobYtGkTaynM+Pnnn+Hj44Pbt29DT0+PtZxu4VwGrK6uRkpKCoKDg1lLYcrEiRNhZ2eHAwcOsJaiFJwxYGJiIt544w0MHz6ctRTmREREICYmBkRK3dyYwgkDymQyfPHFF3j//fdZS9EKvLy8IJPJungron1wwoCpqaldrIl7dtHR0UF4eDhiYmJYS3ksfX4QQkRwdnZGbGwsZs2axVqO1tDU1ARra2scP34c48aNYy2nE2ochChQdjwGK+fNxJQJjnBynYl3Nh5BYYdl6TW4tD0Ic/7iDMeJM7D4YzEKW58s2tGjRyEQCODp6akK8ZzBwMAAa9asQVxcHGspPaP65VgtlLc1lCK+TKczklv0W852enu0CU3+5Ep7kc799KVkafEGxZ26Trcuf0chruY0ddMvT1TE4+npSd98880T/JL73Lt3j4RCIZWVlbGW0gkNrgeU0fn1DmQ0ewdVExFRNe2ZP4Scoy61G656zwIa4hJNl3vpwLy8PBo+fDjJZH1zvaImWL16NUVFRbGW0QnNVcUpqvDrtTIMsbDEAABoLcD1m02wsLVrL0gxtLGBqPAarst613VcXBxCQkKgr6+dz6faQFhYGBITEyGVauf+OGo2oBxF34XjH+dcEBr8MvoDgKIOtVI9GBn/OUuvY2SIAS31qHugfM+lpaUQi8UICAhQuWouYWdnB3d3d+zatYu1lC5RowEVqMhej3khefBISkGoQ1u+00d/PYLi4XItWTOaBfroTSLbsmUL3n33XQiFQlWK5iTh4eGIj4+HXC5nLaUTajKgHKVH3sdsv1NwS8rCtr+O+DOQriUsh8tRWX6vvWRQXlmBGtFIWBh0090j1NfXY8eOHc/kipcnYcqUKRCJRDh06BBrKZ1QgwFluLZzCTyCJPBJPYrNc0d2rEHQMYeHpxMkaQeQ3wxAUYVj358Cuc+Cq5Jlszt37oSHhwesra1VL5+DCAQChIeHa+WKadVPRCsKET9jDCIvDsBzBg/5W98dm35Ow8rhOkD9OXy2YDE23xkCC4Ny3BV4If5QIhZbdyyXGTNmDG7fvt3hGBFBoVBAR0cHAoGgw7mZM2ciKytLOZ0cJzY2FtnZ2e3/JyLk5OTAyckJpqamndqPHDkSycnJGtOnBUVJzbh/+zqKm4bA1n4EnusiF9+4cQPNzR03VsnKysLevXuxe/fuzhqNjWFlZaVinX2TvLw8FBcXdzgmFoshkUjw4YcfdmpvbGyMGTNmaEqeNhiw9xARXnzxRWzYsAE+Pj6s5fQ5GhoaYG1tjfPnz8PW1patlr64HjAnJwc1NTV4/fXXWUvpkxgbG8Pf3x/x8fGspbTTpzLg3Llz4eXlhVWrVrGW0mcpKyvDuHHjcPPmTQwePJiZjj6XAfPz83Hu3Dm89957rKX0aYYNG4a5c+di27ZtrKUA6EMZMDAwEGZmZti4cSNTHVxAIpHA09MThYWF6N+fzV7RfSoDVlZWYv/+/QgKCmIthRM4Ojpi/Pjx2LNnD2spfcOACQkJWLhwIczMzFhL4QwRERGIjY1lXjei9QZsbGxEQkICX++hYjw8PKCrq8t84l7rDZiSkoLJkydj7NixrKVwCoFA0J4FmerQ5kGIQqGAg4MDEhMTMX36dI3H5zrNzc2wsbHBkSNH4OLiotHYfWIQkpGRAWNjY0ybNo21FE6ir6+PkJAQpllQqw0YGxuLiIiITosOuqPhtzR8umIOpk4YBwfXUBzpsAhYdYVQXCIgIAAZGRkoKSlhI0Bb94i+ePEiWVhYUEuLcoUijRc30fQR9rTon4fp0q0Cunk1n8of2ppelYVQXGPt2rW0bt06jcbU+k3K33zzTYqLi1OusbyQvvI0I7dPf6GulaquEIqLFBQU0KBBg6i2tlZjMbX6U113797F0aNH4efnp1R7RWUWDufa4hUHCb76aD0i/xaD1Au/o/0Oq8JCKC5iZWUFT09Pja4HbEMrDbh582b4+flh4MCBSrVvvXMbd5tuQLz7R1QPEMG08Sz+8doLeCvlLuSAygqhuExERAQ+//xztLS0aDSu1n2qq6amBrt27cLVq1eV/1FrCxTGM/G3b7/CQkMAkGPe4Klw3boPt99aj9EqKoTiMq6urrCyssLBgwexePFijcXVugwoFArR0tICPz8/REdHQywWo7a2tsff9Hv+eZi3VOL3mjaH9cOIEebQaahDHUElhVDPAiy2ddMqAzY3N8Pc3Bzffvtt+8KDLVu2wNraGkFBQbhx40aXv+tnMRvezlewO+E8agBAXox08U8Y7DYN9rpQSSHUs4C3tzekUilOnz6tuaDaNApOSUkhDw+PTsdLSkooKiqKRCIRrVixgurq6jq1abyylXzHDKFh9i/QpFHDydrzIzpZ8dA3s+rO0qZZljTUbhJNdhxB5k5+tPeOOj8h2DdJTEykOXPmqD2O1k3DKBQKGj9+PGVmZnbbpra2lpYvX042NjZ05syZzg1a66hIcpmu3LnfzXSMjO7dyqPLkhKNf8+tr/DgwQMyMzOja9euqTWO1hnw2LFj5ODgQAqF4rFt09LSyMzMrNPH+XhUw8cff0z+/v5qjaF1BvTy8qLk5GSl2+fm5pJIJKLs7Gw1qno2qaioIFNTUyovL1dbDK2aiJZIJMjLy8OSJUuU/s3kyZORlpaGJUuWQCKRqFHds4dIJMKiRYuQkJCg9lhasRxr+fLlsLW1RVRUVK9/m5iYiOTkZJw9exa6ulo3rdlnyc/Ph7u7OwoLC2FoaPjQGTnyd4chKr0ECgCCfv1hMsIJnm+vxCLXwUpPq6h1OZb8t10IWjAfKxIuo/kxbcvKypCeno7AwMAniuXv7w9jY2OtqnXlAmPGjIGbm1sXO1DIUS05juM1Tljq7w+/d+bhRd1jeH/WO9hepOiyrx5Rxxa9P//NhcxsbGiIXTCdauq59YYNG2jNmjVP9Txx8+ZNEgqFVF9f/1T98HTk9OnTNGrUKGptfXi6Skbn1tnToEUHSNp2qD6F/jpwLEWcVd4n6nsGbL6EfWn38Nqnn8K7UYzUf3X/slUqlSIpKQlhYWFPFbJtE8bU1NSn6oenI+7u7jA1NYVYLO50TlFfAsmVK8i7eBIpH+/EjSmBeGdS7x/TVG5A2fl9SK97FQtfn4MFr7YiY/8JNHTT9uuvv8a0adNUsk/JqlWrsHXrVuZVXlyi+23dCI0XtiEoIAArgyIRc+gGGu5fxtlfurvSPaDaW3AjHVtlQ5b+mSQlImmmP1kMfYu+q+7csrW1lWxsbOjs2bNKp+2ekMvlJBKJqKioSCX98fxBS0sLWVpa0vnz5/97pItbMNXThWhXGuj6d7qq5PpK9dyCpSewT1wFS9MKHEpNxaEKU1g1ZmN/ZlWnpunp6TA3N4ebm5tKQuvo6MDV1RU//fSTSvpTClkOvlwfj8O/VuMJHr/7BLq6uli7du1j6kaM4fSiM4xLClDQyzIHlRqw/uh+/EBjICo7jszMTGQeL4NobH+c2H8Yvz9yhWJiYhAREaHK8Jg0aZJmDSj/D3ISw+Ez3hpjPQPwvwevoJKDdSZ+fn44ceIECgoKujzfWnkJycnH0Or2Mlx7+xioultwFe3zHUqOH+R2qLNoubiBnEy9aFvpny9fz5w5Q7a2to+Mrp6effv20fz581XaZ8/IqeZ6Jm0J8yEXM30SCHTI2Go6Ld24h3LLuPXtksjISAoJCaE/bsFjSU//ORIKhSQ0NSGTITbk9nYMnf5d+Rfsbb5S2US0onI3FjjEYVzWJXwy6aEJ4dYr+GjydOQsu4ITwZYAADc3NwwdOhRr1qzp5Z9Lz+Tm5iI9PZ3NB6ubKvDL6Uwc+eEozlyrhExvMBwXRCJ+2UTNa1EDpaWlWLp0KaqqqlTyZQKmO6T6+vqiuLgYRkZGKusTAO7fv4+ioiJMmDBBpf0qi7yxGuWlJSgprUBDK6ArcsB052FMtKiDsrIyZGRkqGQb5D65Ra9WoqjB9R92IzFpB/b8IMF9xUDYzVgEv8DVWOEzHoP7Pb6LZ5E2A/IvT58G2Smsf2EeYiW10BHawzMgFoGrl8LbQahdS821GN6ATwPVoMHkZYRsCUTgu54Y3dVW/zw9wt+CeZjQJzYn4uE+vAF5mMIbkIcpvAF5mMIbkIcpvAF5mMIbkIcpvAF5mMIbkIcpvAF5mMIbkIcpSi9GaHt3x8OjSv4fhTe9wwIRqnYAAAAASUVORK5CYII=)
Maths-General
Maths-
In the following diagram, the bisectors of interior angles of the Parallelogram PQRS enclose a Quadrilateral ABCD. Then find angle A.
![](data:image/png;base64,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)
In the following diagram, the bisectors of interior angles of the Parallelogram PQRS enclose a Quadrilateral ABCD. Then find angle A.
![](data:image/png;base64,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)
Maths-General
physics-
In a regular hexagon ABCDEF,
and
then find ![stack F A with rightwards arrow on top](data:image/png;base64,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)
![](data:image/png;base64,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)
In a regular hexagon ABCDEF,
and
then find ![stack F A with rightwards arrow on top](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
The resultant of the three vectors and
has magnitude ( R= Radius of the circle)
![](data:image/png;base64,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)
The resultant of the three vectors and
has magnitude ( R= Radius of the circle)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN0AAACZCAYAAACrDT9gAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACJpSURBVHhe7Z0FWFTZG8ZZVzF2rVX/6qqLK8Ya2C22mNgdayu2ayB2d625dmPnirEu2Nhrd2MiIDaS8v7nPVwUkRpi5t7h/J7nPjxzZuh57/nOl2YwMV5cOw3XS3fgqzw2Fu+8nuLerRu4du0G7ro9h88n5Qkdvh8+IsxDSSLD5ERnXAJw69hmjOzREnXq2KJZy9Zo93sHdOrcBXZ9HbBoywEc2rMIQ8dvgFew8imSRIcUXXzhcx8bRrdE3p/Swsq2D1bvPoLrD57Cw8MdD2+cw27HOejWoDwyp/sRuepOhJvyaZLEhxRdfOD/GCv7VYK5mRlKdFmIh5HYtr7PDsOufA5kK9Mfl5U1SeJDii7OfML5Fd2QSSe4ZFbt4fwkSFmPGI+j89G4lh0OflAWJIkOKbq48vIoOlqlhJlZCjSc4AQfZTlSfNzhtOBPOL+QrpTEihRdHHmwsR+yJTGDWcpCmLwnBie14GD4vXmJV37Sk5JYkaKLE/7YNqgakulMS7McNlhz3l9Zl0giR4ouTrhjXrviOtPSDEnzN8L228qyRBIFUnRx4hnmtCkaIroCjbH9jrIskUSBFF2c8MOGfpVCzMvsNbDqP2PnwUi0gBRdHLm1tieyfKcT3feWGLHlprIqkUSOFF0cCX7hjDb5GTIwQ4nuyxCTSMDb57dx57ncFRMrUnRxJghnl3VHVoYN0llhgtMDZT1i3j84hJkTpsPlXrQRPYmJIkUXHwS4w9G+LtLrdrvvM5XC6HXH4e3/dWZKoO8HPDi1FSP7D8QylweyyiARI0UXXwR5Yt/c/iiV/Sf8+GM65C1lg079hmLStJmYNX0ShvTqiHbdhmC9qxsClU+RJE6k6OKZd08uYPNfk/CHXSe0adUKrdt1QO/BY7B0+zE8fSf3N4kUnURicKToJBIDI0UnkRgYKboE5uPHj/D19cWrV6/w4sULPHv2DE+ePMHTp0/h7u4OT09PfPggi+sSE1J08QTFde7cOWzatAnz5s3D6NGj0adPH9StWxc2NjaoWLEirK2txcfQi4/Lly+PqlWrokmTJujUqRMGDx6MadOmYcWKFThw4IAQp8S0kKKLBW/fvsWtW7ewefNmjB07Fq1btxYCKlOmjBBZu3bt0LdvXzRu3BiZMmXCwoUL4ezsjEOHDuHIkSM4evSouA4fPgwXFxfs3LlTvIZC7devnxBf06ZNhTDLli2LOnXqiPW//voLJ06cgIeHBwIDZeBBq0jRxRCaghQNhUERlChRAlWqVBECmT59Ovbv34/Hjx/jzZs3Ytf79OkT5s+fj9SpUwuBxpTg4GD4+/vj/fv38PLywvnz57Fy5UrY29ujfv36KFeunNgdu3TpgrVr1+LatWsICoq6RYREXUjRRQF3tK1bt4pdhiYg3+xt27bF4sWLcf36dSGsqKAgmZO5bNkyZSXuUIgUuIODA2rUqCF+Ju6Kf/75J65cuaK8SqJmpOgi4MGDB5g8eTIqV66MChUqoHfv3ti4cSPu37+vvCJ66CzhbkjRUXwJgY+PjzBR+bNyFyxZsiQ6duwozoLS/FQvUnQK9DAeO3YMdnZ2KF68OGxtbbF69Wo8evRIeYV+8KyWIkUKIbqiRYsiICBAeSZhoDnK8x53ZYq9Vq1aYkemWSxRF1J0OujkoNOjWLFiQnR0clCEcWHWrFlCcLyyZMkizmaGgmfL2bNnC5O4dOnSmDp1qghVSNRBohbdqVOn8Pvvv8PKygpDhgzBnTvx02+BZh9FHCq6pEmTYsmSJcqzhoMOmQ0bNqB69erCC8qfgT9bXPG6fx5/r1uKxctWYu26dXBctwbLly4WHtiFCxdh2co12LrbBZfveymfIQlLohTd3bt3hUufYuPOduHCBeWZ+OH27dtIly7dZ9HxSqhzXUx49+6dMDXp+axWrZpwDsWFN09v4dj+TRjapDC+5++XPCuqt+yNCdNmYOaMKRgx0A71yheGZYGSaNhzGo7ce6d8poQkKtH5+fmJWFfhwoXRokULHD9+XHkmfqEjo1WrVsIRkyRJEowYMQIDBgwQ4QRDEBiJU5XnuylTpqBIkSLCCxvXnf258yhYUHTpKmHNaQ9lFQjyew/3eycwSWnalLl8V+y/K7NuQkk0ortx44YQGp0kjo6O0br7YwvjbAw18OMff/wh3nQvX74UjpS4nhOjI/DVPfy7bT3WrF6LPSfu4KOyHh7u9B06dBA3H8YAY/u38Lo8H8Upuow22Hr52xvKpxcn0KtkKvE3qGC/HW9lZZMgUYiOKVU0JflGYzjAUNCTyDcc8ysTnDe3MKdXC3QavwYHnBzRt3ULjN9yFVH5TCk4Co/nWn3CIaF4XpqniK4GNl3wVlbD8gpbBpYXf4NUZQfixjvZ1ZqYtOieP38u4laFChUS2RuGhudGvuGY6JywfMLZJZ2Rr0gbHFN8F5cWdUGhEq3g/DzqrtPMlqEpzLDG33//razGjOhF54FV3YuIv8GP1kNw+70UHTFZ0V28eFHkLjZs2FCvNKz4xGCi872NMbbZYdF4HjyVmHjAmYUoY5EV3R3vhSxEAb2cDDHkz58fM2bMiHFa2WfRZaqNv2/5Katf8L64HnWz6543+x62kw7gg9ScwCRFt2fPHhQoUEA4Lxg0NhaGEl3Q/QNokec7FPtjFz77Ce9vQa18P8F60B5lIXr27t0rnCw9e/aMkdNHiI49P1MXw+jle3Hy9BmcPXMGJ48fwl7HWWhdNhvM0+dE1S4zcckjYZMDtITJiY6xIktLS8ydO1dZMR56iS7IEy7r52P1gVsRn8MC3+DW+eNwdjkkUr8OHXLBYdcrCNDtHh+v7oDN/8xQdZwLPvsIn+xEvfwZUKSzfmY1E6iZyM1qiejOeRRdiaQ60SVJh2JVGqJjt+7o2rk9GlQrhtTcAXVXxqItsObMF8+mxIRER2/hmDFjULBgQb3PJgmFPqK7tnUocpmboXDv7RF6HR87/4mKOdIhdZq0IgaYVvfRqvUs8CQVdGsnamXRiW68y5f5eA+3oXa+9CjefYOyEHPo+OE5j8nUFGFkfN7p0pfHXKcLcHvkhocP7uPW9Us4eWA9BjcvibQpfkS2fGUxYOlRGM/mUBcmITqeQYYPHy5MI1dXV2XV+MRUdD539qND0ZBgegV7J3wTWPC7izk9bFC4WDXUb1AftvXqoFbNZpi841LIrvjsINoVNEfJgU5fzMtrq1EpVzrUHHdMWdAPnvP489esWROnT58WIQ/e2MLy5UxXCzuuf5vpEvz6Oia3yCd+L7O0JTDrWAKfbTWC5kVHwQ0bNkwIjmldaiJGovO9h7/su6JJo2awymiGUgN2hxPdJ9zbPwdd+83Ag8jiXAGPMavVb8jVYCaeK7ap97+TUSSHJUY7x/6Nzvgi81H5O+zbt09Z/cJn0UXqvdQdLfdPQoHkuteYJUEV+93KauJG06JjUJfZHhTc2bNnlVX1EL3oAuG6uA/aDFkD131LUC6NGYr/EU50vm6Y2aoo8pRvh/kb9+GWZ8QOifu7RqF08UbYfo/P+2P3qMYoVW84rn3QPyLNXY4JBPXq1UP27NmFmcn0sfCmZkxE531mDSqnp+i+Q7k+m5XVxI2mRTdu3DgR3FWj4Eh0ovM+uwKtG3fD3meBeOO6AEV/+FZ0XqcWoMxP34mvY2Zmjp/zV8HQJc7wDu9+D/TG39N7o4vDLKxaPA123QZhy8WIhRAZzJhhjxcKLHny5OJ7tm/fXrSHYKCfSdP37n0JQUSXkULOrOiJrDz3mWVBv41ygB/RrOiYZZIvXz5RhqNWohJd8LvzGPd7U4zYeFk8fuEyJ0LRvXl4Djs3rsac8QPRtHJBpBLiy4SmY3bgZfhN79MH3L94AkeOn4Ob97dxs4jgOe3hw4diZ6PX0tzcXPzMvHLnzv1ZZCyKZeYK6/TeK5UKr05ORh6+NkM1bDj/SqyFEuTzElf3zUNNC36tJCjUYjpuSk+KQJOiY68SviHYGEjNRCq64HfYM62rzqxc/fkM9txlriI6J0QqlyAvHFrhgOKZdTtf8jwY53Q3znMRKLr169fjl19++Sw2XixH4npYeMazqVkT7du2hsuezbCvn1d5vTmKVGuGPoOGYPjIkRg6WGcy21rDIn0qZPi1GJr+MRfn3OU89lA0Jzr2JuEZjm3q1E7EogvGo8MLdWabA469/GIjeh1ZgGI60ZUYtF/3iqgIxsW1/fFrEjPk/H0xPGO2oUVLaHJ26MXGRxFVu99/8ABW+fOibrUyWLF0KZYuW4alSxZh7uyZmDZ1qqhimDptBuYsWALHrU44ceVRlPmfiRFNiY5NedhDkjVwCVUlEJ9EJLrgd5cxxCYPCtbojInTJorY4rgJkzC4fW1kNTdD1rItYT/mT7ice6J8RgT43sRIm6z4rnBfPHgVtURjwvLly5EjRw5R85cyZUqRzRP27Baeg4cOo3iJUnA5eEhZkeiDpkTHuzGroL299XMQGIuIRBf46gh6VciLnLkskSunBSwsLPCrZW7kyPwTkut2r+RpMiFbzrKYui6q9g5vsWmwNbKWGID7b5WlWEDTcuLEiUiVKpVoI8jUL/bsZPVBdLDDGRPJjZXXqmU0I7pdu3aJhFwmMmuFCHe6wHd4dPMKLlw4LyrWeV2+dh3Oi+3xW0ozFGj3J1wv3oT7y6jaKnhgcbcqqNV3PV7HsuUle3PyJsYi29AWgRQhdziGDGJC586dRfu/hK4TNDU0ITo21WGDHTXkU+pDpI6UCHh5dGHImW7wP8oKCYbPay+8+vC1srzOr0bbBu2w5r/Xyop+MM2rZcuWwpTcsWOHsqo/bm5uInjOfFdJzFG96Hj37dGjhyjRiekdWC3oI7on+6fBUvfaPHZhci/9LmFozQLIVsAG49e54PbtWzjjtBz9O3TA5G2XEJu/BpOYGRrIli0bDh48qKzGni1btogzYHz3mTFlVC86BmuZxHz16lVlRTvotdOd34Ee9W3Qc9GpL2IKdsem4c2RzyI7cvyaDyWta6B1rzHYdsotVjPLL126hLx58wrvb3y2BGQpELufsQeNJHpULTrGhdjBii3DtYg+ooucT/C8fw3nzp3H7SexMycJy4EyZ84svL/x3bIitJs1m/NKokfVomOTVJpCxixEjQvxI7q4s23bNmTIkEF4JjknLyEIbfGXUF/flFCt6NjOnId0tWedRIUaREcnBycHDRw4MEFbu/PGyI7SWkhaMDaqFR07Ljdo0EDTY6CMKTo6nUaNGoVkyZKJASOGgE1seaOkV1MSOaoUHZ0mDLzGh3fNmBhLdOy7yTQuBr2XLl2qrCY8jNc1atRITJOVRI4qRderVy9x/tA6xhAdv1ft2rWF0yQuMbjYwu7WbOgrM1UiR3WiY6tv9mDU+i5HDC06lugwHMCwgLHaVvA4wJjqpEmTlBVJeFQnOmapczacVj2WYTGk6C5fvoycOXOKzB22kDcmbOzLnqMM+Ui+RVWiYyIzPWDxOS7YmBhKdLQKfv75Z9FewZCmbGS8fv1ahA84vVbyLaoSHcMD/GeZyvRQQ4hu3bp1IgbHOQ1qsg7Gjx8vRjIzjU/yNaoRHWNITMJlKz1TISFFx3pCmuL0ULKTtdpmjPNsToeKmloiqgXViI7/JKYSGXJMcEKTUKIL7UlJwTFrR41wh2NTIwcHB2VFEopqRMd4El3dWg6GhychREcTslmzZqLLM01LNbNmzRpxRv/wQQ6EDItqRNemTRvRUs+UiEp0fCPScUQPH4PZMbnZsBUec1GzZMkCZ2dnZVW9MFbHM7o0Mb9GFaJjkWrJkiVx4sQJZcU0CBVdaBIw5+XRo9e/f3+xW7FlObP+me7WvXt3kTQc2UhiVnSzx2eePHk0Uz3PDJXmzZuLs6fkC6oQHXsussEpB9KbEqGie/z4sRBUhQoVRPyK63zs5OQkxlPRDBs6dKgwrxlnYxrV06dPla8CMUuAYmOzV0NOko0P5syZI4LlbA8hCUEVouvWrRsGDRpkcu5lehUpOg78t7a2xqpVq0RHs8igg4Sz9ZgcQLOMNXC7d+9G1qxZxeiqqD5XrbD7Ntuys4BWEoLRRUfHQKVKlUSGuqkR2kuSNxV9Yo+swGZ3LoqNDhMmL2s1Q4fWC286bOsgCcHoorty5YrYBUyxx0aoeRmbQf9jx44VnbpGjhyprGgXBu5N4feIL4wuOlY1sz8+nSmmRmxERxOTThXG4EwlHY6xRFaNyFZ9IRhddMxGb926teoyKuKDUNHFNE7HZq/Myvnhhx9UM002PuC5lI4yLZ5JEwKjio6Ok7Zt25pcfC4UfURHD2eNGjWQKVMm1Y7+ii1s+8eQECshJEYWHYO9dJNruQ9KVMRUdIy7MU+RThPehEzNvc6bK9vhqz2DxlAYVXTMWGBw+Nix2M3FVjsxER0zSzi8gx4+jgBjeQ57m5ganG0ng+QhGFV0//33X4RjdU2F6ETHO3/69OlFdkroeWf//v2iuQ97SZoS7EbGZlMSI4vuyJEjIkPDFD2XJCrRsYEuW+MxlhfWq8d4HE1urc1tiA46zBhvlBhZdNu3bxe2vqmmCEUkOtbBMWbFmd4zZsxQVr+GNYUdO3ZUHpkGTHtjpzCJkUU3f/58YVqZKuFFx8oCDkNh0DsqpwIbtrLqwpTgDZbn1riWbvm/uI+bD93hp+GMQaOKbsSIEejatavyyPQIFZ2Pj48o4eGQDZqUTHSOCp59OPvNlGAFCRO24xar+wTXBd1QucloXNdwbrxRRcckZyYFmyr9+vUTojt69KhwGNFLGZ2nlgFyxusM2STWENBZxgoKtgmMLcFvrmJo9Yy6v2keTHeN3COsdowqOgrO3t5eeWR68KZC0bFxEDPtYzLui2lxpUqVilW+pjFhAJz5s5FVibNOkKK7e/eusqI/Dw9MRF5zM/E3LdnDEVrd7IwmOjoUuBOYYkwqFN5Q+AZhxk1M5qRzaArPPYsWLVJWtAMD/OxxwzgjawOZ8BC29i90mm6sOz8HuGNR15IwN0+F5Lq/qXl2G2y4m3ADURISo4mOWQrcCdh6gP8sU7zSpEkjRMfaOO50Eb0m7JU9e3bxek42jeh5NV/MqOHPHnoxYTtfvnwi+YFnd95I2H06tsM9X51bgIpFK2HgsKGo8Qu/xw9oMvkgtNhRx6iio6OBqU+WlpYmeXGCLN+MrPqO6PnwF9+kbCnPjxE9r+aLPzNvoGGFF3rx5sNW75yvwOC//nzE5n6VkL/uODzyf445LX4TXzdjme44/lJ7bkyjnumYpWDKZ7rEBEuS2I6CYjA3Nxf9XJo0aSJikqwy4GARmpc8++nLp8c7UN8qH7osC9kl72/qj+zJdII2t4D9hmuxGgVtTIwqOrrG+/TpozySaBmGBNjnkvmVFFl4hwnNyjJlynzV+yVmBOPY9BbIU6INDoeORnh7Gt1KhJjuuZtPxT2NdfgzquhY3MiselMk0Ocd3r5PPIPv2fGM8cjI+Oeff8ROqHf20eszsLO2RO3R/+JLxSWF2AgpaL7+WBoLT2irDb9RRcesjDp16phUg1kEeOPM34sxetgwDBs6AvM2HYGnLJgWHc+YU6ofwbi52R6FC9piV/gN0v0fNP01udjtyg/agrcaOtoZVXT//vuvaEpkMiOVAl9g27jmsCrRAPN3HccZ53VoZ10UDR3W4qm/8ppEyuzZs/W3avweYVYLCyTLVBrdB47AiGEO4kjiMGwEhg/ogfLZvxeiS2rRCE4PtWNVGFV0p06dEh2L4xIwVQ/BuL55EH5NkQF2G780jH3mNAg//5gd3ZefV/+BPzhYxE/DEx+tEYfpdn7GZfXB6+Q8lLfMjZb9x2LqpLEipht6jZs0GcN7N0euFPSQ/oBmc04pn6V+jCo6Hq6Z8mQK7QmCvS/BvkoGmGVthmNeYd6478+gfa7vkaZEV5z0ULcN9Pw/J8wePxitbauifAVrWFeshGo1aqFuvfpi7JVtgyboPGgqdrjehq+evwqbLbHDWcx5A8deZZC3zmjcjex7+VyFg83PYrf7X5k++E8jDhWjio4ZGOwExi7HWufp0Xkoprvrpqk7Dc/C+go+vcGiFllhliwvJu1Td3fmID8fvHn9DFtHN0AyOim+/xVdZ63D3n8OYPfm5RjeqQb+x53lh5xoPWEXXurRS4pdnhcsWKA8ih6/+1tRu0AB9Fsb1VTZYJxdbIcsSXU/U0oLDNnmpqyrG6OKjsWbrLHS55+hTvzhuqQDUureqFa91sP7K7+QL5wcyuruxsnRctYBaKFy0G3PZORPonsjZ6yFrc+VRcEb7BzbAGkpyKQWsN8Ws5QuTmZluCDmc+QDsG9EHeQp3w0n3ipLkfF0H1pZpRa7Xe5GE3BPA04ro4qOMBXMzs5OeaRVXmHXsCriH19t1P5wibgBODaxlniu4iBHeCirasZt7zQUYvA5gw02PPzaAxRwdw+a5kwS8iZvMR/eMTAzObWHZT3Rt6AIRlCAHx4enoOiKc2QpdIQXPH1Q0BQxKfh4KBA+L89iu6lWXmg+3m/y4jfZznDy88fQZ/Ua8obXXQrVqwQvftZ0qJZPnliY5+Q3EPbKQfxdbQqAK5T6ornSvRYgafqPtYJ3PZOjVR0eHEW/SukFL/PzzZj8CgG3iGWKdGiibY1vL8nnJc4oFbpAsiRLTssC5RCg7Y9sfTfmzp7ITyBeHR6M+zb26LEb5awsLCARfZssCxYCi37jMO/dyOPGRobo4uO9WX0YMY6+1wNUHR9Q0TXYGp40fnh8ISa4rkyfVfjK2tNpUQlOt+bO2CbQ/ec7vcp3X9LjMxllnAx8ygiz+hXBH+C/8f3ePvuA/wCAuDn64N3b9/ho3+gbg/8lqAAX7zXPe/j6y/GZwcE+MP3Q8jn+wfJnS5SOFiDGfguLi7KihZ5DadR1cUbscaYA/j6fu6LvUNDchJrjdqmM0TVzxfR1cTmsFuz/xMs7lVBOFnMf6kNx8uvlScih527OXFIi+VKCYXRRccYENsYcEqNdgnE2dU9kEb3ZizcZxNeh72hB7/Hms55daJLjx7LTmmiFEWILrlOdGnLYdq+M7h4+ih2rpmLPo3LInOqFPitRmesOuYWo9+FCc4sbWL1vCQEo4uOMAeTDYqYqa5VXp5bBeu0ZkhVfQIeh7W5Ap9gbKVUMEtfFstOa2GfC3GkFE6lE12yHKjTuTe6Na+CzBThd/9D98Un4O0T81gBR2SxVYU+o8JMHVWIjk1nWXfGEb+axechpjfPDbM0VbHrSZiKZo9dqJEhKSwbTsR9jWQqfTYvf6qOdQ/84Of5H4bVyiFMZKsW06FbihE8w/Esx7pJyRdUITomPHP+ttZHQ704uRDls6SD7ZQjiukViCNTGyPjz2Ux56h27vRhz3SbHoX8Jm+vOKJWDiYYp0eTyQcQE18zd7eqVaua5MDPuKAK0ZHRo0ebQJmPLy5sGoVq5aqh35T5+HNML9Ss1hBTtl+Glop8IvZefsLFtb2Rg0Hz1MUx3SX6rl50jjEobmot4uOKakR3/PhxUVms/RbrQfC45YrNq1dizUYnXHr0KkJ3t5qJNDge+BwrepRFEp2Zmb5UVxx9GrUrhZ2qOQxS8jWqEd3bt29FvI7D8CXGRYiO+YwZauhE97XTxO/JIXQt+ZM43xXrtBCPI9nCQ/+frKOTfI1qREcmT54sstnlmFxjEozTS3sgo05UZsnzYeLhbz2uT5yno2hG3fNmqVC511+45PGt15n9O5n6xYpyydeoSnTXr18XEzs5p01ieNzP78XcCYNQr1QupEuTBmnSZkARm98xcvoanHkYtm+nDw5Mbolf0qZEitSZUbR6U/QfswKXvb+Ij7FXntMl36Iq0RHWXfXq1Sv6lCFJvBPg8wYe7k/x5OkzeHp5wcvTA8+ePsazFy/xwT9cbC7IF690r/F48QyPHj7E4+cv8TEw5PTK4mT2uLxxI6qynMSL6kTHyaSM2d2+fVtZkWgNVohzAApTwCTfojrR8TzHZkU830m0B1up84gQu6ayiQPViY6wDz5bdevfI1FibBgmaNCgAfz8tBSZNCyqFB0zVOjF5D9Qoh04DoudneUuFzWqFB3h2Y7/QHkY1w49e/Y0uQmyCYFqRUfvJdPCunXrpqxI1Aw9loUKFRLJ65KoUa3oCP+RHBsV3fRSiXFhTSRLs+RcipihatERNi5im76o+uRLjMvatWvFUSA2E3kSI6oX3fPnz0U6kQwhqBPOEGcgXOtlWYZE9aIjnHmQP39+nDx5UlmRqAFW+tNxwkvLVf+GRhOiIxwcwRbs0sxUD8uXLxdmpWnMojAcmhGdl5cXrK2txfxqifFhKIdOLp7nJPqhGdERFrr+9ttv2LRpk7IiMQaenp7C6mBcTqI/mhId4YGd57vTp08rKxJDwiTmLl26iAGPmu7KbUQ0JzrCWWelSpXC48ePlRWJoZg0aRKKFSuGmzdvKisSfdGk6EK9ZvXq1cO7d1+P65AkHOvXr0fu3Llx+PBhZUUSGzQpOuLh4SGamHbo0EH/4fESveGgfgrO0dFRWZHEFs2KjrA5LT2azM+Uwks4OLQzT548mDNnjrIiiQuaFh1hhXmFChXE4V4KL/5xcnISO9zcuXOVFUlc0bzoCMdsUXhsESCFF3/s27dP7HDz589XViTxgUmIjjArgqYmm5vKtm9xZ/v27bC0tJSCSwBMRnTEzc1NVCTY2Nhoe8ikEWGZzsyZM4VJKZOYEwaTEh3hUPmuXbuKWJLsn6kf/Nux/SGrBmhaShIGkxMdYdX5xIkTkS9fPpGUK4meO3fuiC5sDMNcvXpVWZUkBCYpulA2btwoknKZI/jixQtlVRIetkC3srJCp06dRF6lJGExadGRS5cuiZnXnGu+e/duZVVCWCBMc5K9TebNmydr4gyEyYuOsAcjRywzUXrAgAFy19Oxa9cuMZqMPSovXLigrEoMQaIQXShsdMTseO56LA+ipy6xwd6UdnZ2KFiwIGbNmiV3NyOQqERH3r9/L1zi9G42bNhQTAtNDNCUHDNmjKj0btmypWyVZ0QSnehCYc/9oUOHijdh+/btce7cOZPc+VhxzxQulkLxbLtnzx4EBAQoz0qMQaIVXSh0j3M8F8XHxGnufKYwlJLJAbNnz0bFihXFtW7dOmlKqoREL7pQXF1d0aNHDzFxhnV6S5YsEbuE1jhy5Iho+srfg3G3xYsXi1HEEvUgRRcOToOdNm0aKleujHLlygkTlL1Z1JpIzWErTH9jyhann/KsyooLDvGQY6TViRRdJHCXY9CY8xQ4tosiHDhwoEiPevLkiXizGwv2JmH8kfVtbGfOXY2NgthKgTeNxOiV1RJSdNHANzA9f8xu4dmPJUSVKlUSFet0uTPgznNhQraNePToEY4ePYpVq1bB3t5ejBFjjM3W1lZ0vqYnUp7XtIMUnZ54e3tj586dov8md5mqVauiSpUqorKBomQQnuJg8Sfjgiw5iq7UiGYgd0/uXnTkMIa4YMECODg4oGnTpuLr8/uwgoIpbQsXLsSVK1eUz5ZoDSm6OEKxnDhxQjTtoUhYz0ehMAjPHZGmH3dHmn8UDZ0bdN3z4mtq1qwpRMWdizMb+DpmibRq1UoEsZmexf4kbO764cMH5btKtIwUXTzDXYslMu7u7iIWyAwQds/i7rV69WpR9UDPKB0fK1euFB2SGTujichMf4qY50kG8eXZzDSRopNIDIwUnURiYKToJBIDI0UnkRgYKTqJxMBI0UkkBkaKTiIxKMD/AfoefToXFc6rAAAAAElFTkSuQmCC)
physics-General
physics-
A man of 80 kg is supported by two cables as shown the tension ratio of
is
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)
A man of 80 kg is supported by two cables as shown the tension ratio of
is
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)
physics-General
physics-
If ' O ' is in equilibrium then the values of the Tension
and
are x, y, if 20 N is vertically down. Then x, y are
![](data:image/png;base64,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)
If ' O ' is in equilibrium then the values of the Tension
and
are x, y, if 20 N is vertically down. Then x, y are
![](data:image/png;base64,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)
physics-General
physics-
In the arrangement as shown below the strings P, Q are being pulled downward with a speed ' V ' each. If the pulleys are fixed, the mass M moves upward with a velocity of
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)
In the arrangement as shown below the strings P, Q are being pulled downward with a speed ' V ' each. If the pulleys are fixed, the mass M moves upward with a velocity of
![](data:image/png;base64,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)
physics-General
physics-
If three vectors act at a point ' O ' as shown in the figure then the value of '
' & ' P ' are
![](data:image/png;base64,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)
If three vectors act at a point ' O ' as shown in the figure then the value of '
' & ' P ' are
![](data:image/png;base64,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)
physics-General
physics-
For the three vectors the magnitude of
and its direction are
![](data:image/png;base64,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)
For the three vectors the magnitude of
and its direction are
![](data:image/png;base64,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)
physics-General
physics-
If three vectors act at a point '
' as shown in the figure then the value of '
' & 'P' are
![](data:image/png;base64,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)
If three vectors act at a point '
' as shown in the figure then the value of '
' & 'P' are
![](data:image/png;base64,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)
physics-General
physics-
A person moving on a motor cycle in a ground takes a turn through 60° on his left after every 50 m. Then find the magnitude of displacement suffered by him after 9th turn
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)
A person moving on a motor cycle in a ground takes a turn through 60° on his left after every 50 m. Then find the magnitude of displacement suffered by him after 9th turn
![](data:image/png;base64,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)
physics-General
physics-
If ' O ' is at equilibrium then the values of the tension
and
are x, y, if 20 N is vertically down. Then x, y are
![](data:image/png;base64,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)
If ' O ' is at equilibrium then the values of the tension
and
are x, y, if 20 N is vertically down. Then x, y are
![](data:image/png;base64,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)
physics-General
physics-
Figure shows three vectors
and
, where R is the midpoint of PQ. Then which of the following relations is correct?
![](data:image/png;base64,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)
Figure shows three vectors
and
, where R is the midpoint of PQ. Then which of the following relations is correct?
![](data:image/png;base64,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)
physics-General
Maths-
In a Rhombus PQRS; QRS = x° then P = ?
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)
In a Rhombus PQRS; QRS = x° then P = ?
![](data:image/png;base64,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)
Maths-General