Maths-
General
Easy
Question
Bloom’s category: Application
Level: Medium
Two walls of a room intersect in a
- plane
- line
- ray
Hint:
here two walls represent the two planes. if they intersect they intersect as two planes intersect.
The correct answer is: line
ANS :- Option B
Related Questions to study
Maths-
Bloom’s category: Understanding
Level: Medium
i) Give another name for RS and PQ.
ii) Identify all the rays with starting point C.
iii) Are the rays PQ and CQ the same?
![](data:image/png;base64,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)
Bloom’s category: Understanding
Level: Medium
i) Give another name for RS and PQ.
ii) Identify all the rays with starting point C.
iii) Are the rays PQ and CQ the same?
![](data:image/png;base64,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)
Maths-General
Maths-
Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. Find the smallest number of tiles needed ?
Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. Find the smallest number of tiles needed ?
Maths-General
Maths-
![](data:image/png;base64,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)
Identify and name the line, line segment and rays.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPEAAAB2CAYAAAAZfnVpAAAZU0lEQVR4nO2de3xU5dXvv8+zZ3InEAxEFBAQ+iKptxcEREFRKMjhhYoVi6IfASkUGqGQ4IFP397UvoBykYuWg0VR5JWTWisqYBWPR0UqHisqiEC4FAREMSEh15m9n3X+mJnNRIHSEnJ9vp/PJJM9e0/2zOzfrGetZz1rKRERLBZLg0XX9QlYLJZzw4rYYmngWBFbLA0cK2KLpYFjRWyxNHCsiC2WBo4VscXSwLEitlgaOIG6PgFLfUIAg6ARFAA6ug0UiPb3ExXZpqwdqHOsiC0nEQ8RD1EBjHIQBMSg8UA0IgpQoAwGF6U0grYyrmOsiC1xREUa91fkjgbloCSyRSRqlZWVb33AithyEnXyl8IAIMZQUnoCN2wwYkhKCpLWLAMtGiOglMGGVuoWK2KLj0Q9YIWgxaCUomDfPsbddx+lxeU4ASG9RQq3jRjFbSNGkZHZHCFMgpNAvAX3n08EEUGpyGOu6wKgtcZxnFp8ZY0bK2KLj6AwSuOIQUX94OLiYg4fOcrPc6aR/f1OfPTxX5m/YAFHvyzjl7/Kw5PIkacTMeCLOBAI+NuNMWhtLXhNYEVsOQUCIpEAlhhSUtPo1bsX3XtcxQ03XsOhL4p45eW/MGVqDs2an16IWmuMMVRVVVFRUUFFRQXFxcVorbn00ktr8fU0bqyILT5KQGMwyqBMAK0MQhWiHMJhFwgDSWRmtqKyqpiQF8ZIMoLy7XBs+Hzs2DGWLVvGzp07KS0tpbi4mJKSEkpLS5k+fTqdO3euw1fauLAitvhEY8+RWWEVAAnjOB6iNKI04LB/30HefPP/cPmVXWjePAUj8RIGz/PwPI/k5GQOHz7Ms88+W+1/XH/99QwePNgOpWsQK2LLGdFKUVJczJzZc8lqlc6Oz3eCEqb9fAqONny7LIyIkJiYiIjQtm1bkpOTqaysRERIT09nypQptG3b1vrENYgVseWUxMQpAk4gQKusC7mkfRY33TyQm26+kYyMdBAvuo8DKJRSBINBtm7dyiOPPMKf/vQnKisr/ee89dZbGTp0KKFQyA9yWc4d+05aqiECoqJJlzqStZWamsKESRPpcWVXfz/XDYEStCiMMThOgJKSElavXs2cOXPYv38/6enpTJgwgYKCArZt28bEiRNJSkrC87w6e32NEStiy5kR8IyhKhyxqEYikWulHJRodFTo7256lzmz5/DKK68AMGDAAPLy8hg4cCAfffQR27dvp2fPnriui4jYeeIaxIrYUg0V9xNAOw6JSYloJ7bNwxjB0QGUo/jq8FGeee4ZHp03j6NHj5KVlcWkSZOYOHEimZmZhMNhvv/975Odne0nf2it/bljy7mjbMlaSzwiBlGgRKMQKipLOXDoKBdd1IbkxAREIBgIEKoKsWnTe/zyP3/Fu++9g9aawYMH8/DDD3PVVVcBYEwkdfNUgrUirjmsiC1nhed5KBUJXh06dIilS5eybNkyioqKaN++PXl5edx55520bNmyrk+1yWFFbDlrysrKWLduHY8++ihbtmwhOTmZ22+/nenTp5OdnQ1ELKydOqpdrE9sqYYxkYUPscyr2LB33759zJkzhzVr1nD8+HGys7N54IEHGD58OOnp6biuW21/S+1hLbHFxxhD/OXgOA6lpaWsWbOGJUuWsHXrVtLS0hgzZgwTJ06kW7du1VYpWeoGa4ktPvEWWGvNRx99xKJFi1izZg0VFRX07t2badOmMWTIEFJSUnzra6eL6hZriS0A1SxqUVERK1as4IknnmDPnj20atWK8ePHM2HCBNq3b+9b7NgxVsR1ixVxEycmSMdxcF2XzZs3M3/+fF5++WWMMfTv35/p06czcOBAgsEggB1C1zPscNqC4zgcOXKEJ598kieeeIIjR47Qrl07JkyYwNixY2nTpk21/a2A6xfWEjdxXNfltddeY+HChbzxxhsEAgGGDRvG1KlTufbaa4GT00ZWvPUTa4mbADH/NXY/JsoDBw6wfPlylixZwvHjx+nYsSNTpkxh/PjxpKSkAGfOurLUD6wlbgLEB6K01lRVVbF+/Xpmz57NBx98QHJyMrfddhszZ87ksssu8+eKbdJGw8Ba4iZCLIpcUFDAwoULWb58OaFQiK5duzJr1ixGjhxJYmKib3ktDQdric8DfpVHURiJiEJrAyrwnf1ib74+T8PVWAWNkpIS/vznP/PQQw+xe/duUlNTueeee5g1axZt27b1K1DGzl1rbS1xA8GKuIYRBBEPJRqMwnPD6ICiKlTOR1s/YcNf3sDzPG688UZ69uxJSkoKIkLACdSokD3P8+dvt2/fzoMPPkh+fj7GGHr06MFvfvMbBg0aZOd4GwFWxDVMRMQGJaBEMEYoKSkmd0Ye7763mfTmzQkEApSXlXHDjTfw4IMPkZSURNAJ1HjwqLCwkJUrV7JkyRL27t1Ly5Yt+clPfsJPf/pT2rdvTygUQmttS+U0cOynV8MIKlrC1QNlAI+5j87lzbffY+njS/jBTTehHYc9e/bw+eefA6DPQ0+jzZs389BDD7Fu3ToABg4cyIwZM+jfv7+f2GGzrRoH1hLXMIaINXYkBMpwcP8+Bg0ZwV33TWLWtPsh+riOVs/wou1SVLXCr2dHzI+Fk3O5hw4d4sknn2T58uUcOnSIdu3aMWnSJMaMGUNWVpYfebZTRo0Ha4nPA5EWY4LCsGvnZ5RXVXBl9x64gBMNZcWKvcbEdC6SchwHYwyvvfYajzzyCBs3bkRrzfDhw8nLy6N3795orf1eSHb43Liwn+Z5QwDhm2++Jux5pDRrhgfU9ODVcRz27t3LE088wYoVKygsLKRr167k5ORwxx13cMEFF+C6rk3aaMRYEZ8HNIISQCkSE1MjZV3DVWjipp9QkXpWRIV1GnF929uJiTHm165du5Z58+axefNmEhISuPvuu5kyZQrdu3f3j4+lTFrPqXFiRXxeUFGvV9GxYxeC2mHP558xoFcPXC8iXK01SmuM50X6lzlySq9YKYXnedUEqLVm+/btLF68mGeffZby8nKuvPJKpk6dyogRI0hLS6tWmcMfslsr3Cixga0axoveHHFxJEzpiROMGnU3Xx8/wfI/PEl218sA+Orrrzhw4ADdunUjITGRoHZOKbJY8CoWuDpx4gQvvPAC8+fP59NPP6VFixb8+Mc/Jicnh27duvl1nQOBmp+ystRPrIhrGA8iASwxOBJGKeGzbdsZN34CVSGPq/+9OwmJCewpKKBdu3bMmz+fZs2agQgaDaq6xYxZVGMMH3/8sV/nCqBXr17MmjWLQYMG+SmTsawrK+KmgxVxDWMAF8FB0OIhUSt64O9/55VXN/DBhx8SCAa55pprGDBgAJe0vwSIZFhpFNrRlJeXEwqFSE1NJSkpicLCQlatWsWCBQvYv38/mZmZfqWNSy6JHG8X6jddrIhrHIOIhyiFkkgwycT8U60xnqC0wokmeISj0z4ighjD66+/ztKlSzl8+DB9+vShX79+PPfcc2zYsAHP8xg0aBAzZ87k2muvJSEhoZqvbEXcNLEirmnEA3FBRYJbnig8E2lQFokSx/aLrfM1KKVxtGbLli2MHj2agoIC/+lSU1MpKyujTZs25OTkcN9999GqVSs/4yp+kYIVcdPERqdrGqWBAESzsDSgAwoxJrLAQQESTfYQ8VMulVJs3LiRgoICtNb++t+ysjIGDx7Mr371K3r16uULNZYuaYVrsWvNahwFyiHy1iq0igjZic7Vqmgf35hlhpNCrKqq8gUc256WlsaUKVPo3bs34XC42mNWwBawlrjOiCVfOI5DZWUlL774ImvXrv3OovzevXvTo0cPXNe1ixUsp8SKuBaJF2gsi2rHjh0sXLiQVatWUV5ezhVXXEFWVhZHjx6le/fu3H///WRmZuK6ri1WZzklNrBVi8Qv/ystLSU/P5/Zs2eza9cu0tPTGTNmDPfffz8dO3b8Ti8ki+V0WBHXAR9++CELFiwgPz+fUChE3759mT59OoMHDyYQCPgWO+Yf21VHljNhr47zTHwSxrFjx3j++eeZM2cOX3zxBa1bt+bee+8lLy+PzMxMP+Mqtr9N4LCcDdYS1zCxXGfP8/zSN6FQiM2bNzN37lw2bNiA1pqBAweSm5tLv379vjNdZMVr+Wewlvg8EBsCa605evQov//971m0aBGFhYW0bduWyZMnc99991WzvvGRZytgyz+DtcTnAWMMlZWVvP322/zud7/j3XffJRAIMHToUH7xi19w5ZVXAtUtro08W/5VrCWuAUQEz/P8ANTBgweZN28eq1atoqioiC5dujBjxgxuv/12mjdv7h8TL2IrYMu/irXENUCsQHtpaSkvvfQSixYtYsuWLTRr1oyRI0eSk5NDdnY2jnPqNcMWy7lgLXENoLVmx44dzJs3j9WrV1NRUcHll1/OzJkzGT58OCkpKf5ifStiS01Tby3x6ToCqWhl59M9em51I0/PtzsLxnzY4uJi8vPzeeyxx9i2bRsZGRncfffd/OxnP6NLly7VsrRs8oblfNBALfHpJH5+c4tj00Zaa4wxbN26lfnz55Ofn084HKZPnz7k5uZyyy23kJSU5O9vhWs5n9RbEZ/5sq+bxVdaaxzH4auvvuLpp59m2bJl7N27l6ysLCZMmMC4ceP85mShUMg/xmI5n9RbESPftbZCzKc8KYzIEFeAmhmqxvzW+N9wcij81ltvsWDBAtauXQvAoEGDmDZtGjfffDMA4XCYYDCI4zi2RKylVqi3PrGIB1Hf1/MMxngoFI4TwAh+emIwGPSDRo7jnLPliz1v7G0xxhAIBDh48CArVqxg2bJlHDlyhA4dOjBhwgTGjh1L69atz/XlWiz/MvVUxBIpcRMlFhwqLilhw/rXWLf+Lxw58iWtWmUybNhwBg36Ac3S0tCOPuc1t/E9eh3Hoaqqio0bNzJnzhzefvttEhISGDp0KLm5ufTq1ctvIWqHzZa6oh6LOBz3t+Lol0fIzZ3BJ59u45qefcjIaMk333zDpnffpcc1PVi69HGaNUvFcc5NTPHD5wMHDrB48WIef/xxysvL6dy5M9OmTeOuu+6iWbNm1RpyWyx1htRTjOeKJxViPFdESmXxI7+VTu07y1vvvFdtvw0v/UnaZmXJY79/Skz88cbI2WCMkXA4LOFwWDzPExGRUCgkf/zjH+Xyyy8XQBITE2XUqFGyY8cO/5j4m8VSl9RjEXviSoUYY6TixBdyS/+eMm3af0pYRFwRcY0RMVUi4eMy8of/Q24Y/EMpDXsnj/8nRBwKhcR1XRER2bFjh9xzzz2SmJgogFx99dWyZs0aKSsr84/xPM+K11JvqJ/jQDk5xaSUoqioiK+Pl9Lh37pE+/8alIqWhnXg6qsvp6joa4qOF/9L/85xHMLhMMuXL+fWW2/lmWeeQUSYPHkyL7zwAiNHjiQYDEZOLa4nsMVSH6i/U0xxVFRVEjIuwdQgLhAUg8GgMSAeScmJiJJIc7LTIHHtUOIXHSil+OCDD5gzZw4vvvgiIsL111/PzJkzGTJkCHAyN1rifGCbwGGpL9R7EQuRAuoB7VBSdCJStjmWAqkAz2Pvnn2kJCaRlpbqH/ftfkYx6xmLPickJHDs2DFWrlzJ0qVL2bdvH61atWLcuHHk5ORw0UUX+eL9duDKCthSn6ifIo4WWI8gXNAyg45tL2TLO5sJTxhHUjCIEQMqwDeHD/H+X/8fl/cbTPPU5FM/XVzyRjAYxPM83nzzTWbPns3rr78OwJAhQ5gxYwZ9+/ZFKWVLxFoaDnXljP8j/MCW54mY47J6xSJp07qD/G7uQjnwxWH5+lih7N75mUy69y7p2qmDfLJ7r4RExMRuxvh/GGP8yPPBgwfl17/+tbRp00YA6dChg8ydO1eOHj0qIiKu6/rRahu8sjQE6qclBlAm2urTw0gCw2+/iy+OlfPsqj+w8g/LSExIQGsIh6owTpCt728mK+sC0ps1QxmDYwCJ9EByggFc1+XVV19l7ty5fqWNO+64g7y8PLp37+7/W9vbyNLQqL/JHpwMUnmehwBiPHbt2sO2bZ9RVlZOu3Zt6dSpE2vXruWpp5/m0su+xyPz59P+wovRxkRahQYcdu/azbL/tYyVK1dy7NgxsrOzmTx5MqNGjaJFixZ19iotlpqgHov45DSOMQbPeGil0dpBqZO+qkSDXNu3b+el9a/w41F30rHdJTjAieIS1q1bx9xHH+Fvf/sbaWlp/OhHP2L69OlkZ2f7x1rf19KQqacihngRx8QWQaGU9qeLJBp5dhyHyJIJgxbF7h2fs3DBAlatfo7yykq6d+9Obm4uw4YNIyUlxY9W24X6loZOPRbxmU7rpOhiQpZomdjjxcf536ufZ/Fjj7Ft5+e0aN6cMePGMnnSZDp16mTbo1gaHfVYxP8YEfEbjRlj+OSTT5gzezbrX36FyqpKru/blwf+50z69b+BlOQUwuGw35jbLlqwNBYahIhjpyjR2lbffqywsJCnnnqKxYsXc+DAAS7MbMX9OTncO24sbS6+GCOGSO2Akz6wtcSWxkKDELHneX72VHl5OevXr+eGG26gRYsWbNq0iUcffZTXX38d13UZMmTId9qjWCyNmfo7T/wtYi1B33nnHaZOncr48eNxHIelS5fy1VdfcfHFF5Obm8vo0aP99igWS1OgwVhipRQlJSWMHj2aV199leTkZMLhSOGAESNGkJeXR48ePfxuDIBtCWppEjSIqzzmvz7//PO88cYbAFRWVpKens7cuXO58847SUpK8qPUdpWRpSnRIEK0Wmt27tzJkiVLqKqqAiIBrcrKSlJSUkhJSfG3xSLPVsSWpkKDsMSu6/LUU0+xf/9+2rdvT2ZmJhkZGaSnp3Ps2DG/TKwVrqUp0iB84nA4TEFBAWlpaSQnJ5OYmOjXdo4lbsTf6iuxCtkIRE7z5FuvzlP7GUvDI16SZ3M9NwgRNxYM4EVVrFUs78yAgOcaqqqq2LNnD5WVlTYZpQlijCE1NZXOnTv75aDOZprUirgWEcCLdrbQ36o8oiTS13j48OFs377dirgJYoyhT58+5Ofn07p1a99N/Ec0CJ+4saAwaL89jeNvVSi0jgTwmjdvTsuWLe265iaI67pkZGT49dzO9nO3lrgWEeOixIATJH4RhyuAMRjP5cSJE352mqVpISIEg0HS09OrlZT6R1gR1ybisX/3Tl5dv4GSskoEzcXtOnDzwJu5sNUFIKcuzGexnAl7tdQmyuH9Te8x++H/Yse27ezds5fly5cx8kd3sHnzXyPfvlSPTlqaMmd3HVifuJZxKhStWnRm1m//i05tMzm4fyejR4/lqZX/zb/37EViQEO8iK073KiJ1LCJTD5qUZE2ZBiUkkhFVyLTqGKimYjxF0T0rrXEtUyCUmiVTCA1lYREh0u7Xkq3rl04fOQIIddFJNKH+Wy/hS0NH//zFoMSQQNKCaIUHhKd0Tj99WBFXKt4iFRiJMzx4mJKyiv4YMvf+HTnHq6+5iqCCQ6oMCJhULEPtq7P2XI+UdFbpHWRgBbQirKKEKVlFYiAVpozDcnscLpWEQIB4etjX/LAAzNIUpX8fU8B/QcMZvzE8TgBQYwXjUgKdizdNNACnvFAw/GiIv77+Xzeeuc9Qp7H9zp3YuyYMXyvc5fTH1+L52pBYYxHSloqQ/9jGH2v60tCIEhachotM1oiotDKieZkWgE3FUQMGvC8MIsXP8aTK1bQs/e1DBjwA74pLGRPwR7MGYKd1hLXMp4o0tOaM3z4f9CpVQZXdOlIXt4v6TfgFgbcdB3iCSgPf6Bltdz4iYyg+frro6xe/Rxjxv+U6VNycAHPuxc8D8/zcJzAKa8Ha4lrFY2oIAYhVBFCvCpuvP46/q3TJeQ//wKVIcGIQhHA/7SsT9zoUShEDAkJCVx00UVseX8LB4586TtUKhBAOQ7iL5qpflFYEdcqijLtUGFK0HiIk0hKZiZDRwzi/761gd0FBWgHvFhQCzd6s0puzBitQAdp3rI1D+Tmse3jj7lt+DCee/ppThQV4oqmwo3m3UsYERMVdAQr4tpEhNZtLqLfDdeRnBDEi1YiuXnAAK67rhdHvzwSXaJoh9FNCb85gsDAW4bw4osvcPVVV/Dwww9y6w9/yNatW+EMWXw27bI2iTVBVw5VxqCVoCWEkjAqmE6Va1BAQCscDbFliuBYUTdiDIISD0VsPliBCvL+Xzfz8yk/J611W1Y+u5LWzVNwxEVwQDv+JWEtcW0STWoX4xFQKjqpHxlKGc8loBVBraMfTtwUkxVw40Yi1ti4LmIMiGCMS6/efbh95O3s2rWLwqLj0fni72JFXJsoUFqhHHC0wdGgdQCtAziOJqBBa4PW8WmXVsGNHSMGpRS7du3iwV//ln379wGaQ4cOsnHjRrK7ZXPBBRecdprJTjHVNt/JxIqtK46rk32ab1xL4yRSVkpISUll586d3HbrbbgSKTXV8ZIO5M6cQWpqMsZ4OKf4Trc+cS0Seas9P80uapqjA+f4YvcqzgJbS9zY8cSgjIfWQkV5OZs2vceOnbtp27YdN9/Un6RmGYSMIVkrHOUi6Grtfa2Iax2J+xUXhRaJ3BfsELrJcupU25NNfU+9jxWxxdLAsc6XxdLAsSK2WBo4VsQWSwPHithiaeBYEVssDZz/D3jU9j/m63gbAAAAAElFTkSuQmCC)
Identify and name the line, line segment and rays.
Maths-General
Maths-
Name three collinear points
![](data:image/png;base64,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)
Name three collinear points
![](data:image/png;base64,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)
Maths-General
Maths-
Identify and name three collinear points
![](data:image/png;base64,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)
Identify and name three collinear points
![](data:image/png;base64,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)
Maths-General
Maths-
Through any three points not on the same line,
Through any three points not on the same line,
Maths-General
Maths-
The area of rectangle is equal to area of circle with circumference equal to 39.6 m.What is the length of the rectangle if its breadth is 4.5 m.
The area of rectangle is equal to area of circle with circumference equal to 39.6 m.What is the length of the rectangle if its breadth is 4.5 m.
Maths-General
Maths-
A plane has ____ dimensions
A plane has ____ dimensions
Maths-General
Maths-
A point has ____ dimension
A point has ____ dimension
Maths-General
Maths-
A square room with 10 ft. side is to be covered with a carpet from wall to wall. What should be the area of the carpet?
A square room with 10 ft. side is to be covered with a carpet from wall to wall. What should be the area of the carpet?
Maths-General
Maths-
The area of rectangle is 4 times of the area of a square.The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3rd of the side of the square.What is the side of the square ?
The area of rectangle is 4 times of the area of a square.The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3rd of the side of the square.What is the side of the square ?
Maths-General
Maths-
A Solid metal cylinder of radius 14 cm and height 21 cm is melted down and recast into spheres of radius 3.5 cm . Calculate the number of spheres that can be made ?
A Solid metal cylinder of radius 14 cm and height 21 cm is melted down and recast into spheres of radius 3.5 cm . Calculate the number of spheres that can be made ?
Maths-General
Maths-
Bloom’s category: Understanding
Level: Medium
Name 3 coplanar points
Bloom’s category: Understanding
Level: Medium
Name 3 coplanar points
Maths-General
Maths-
If the surface area of a sphere is 616 sq.cm, find its volume?
If the surface area of a sphere is 616 sq.cm, find its volume?
Maths-General
Maths-
Bloom’s category: Understanding
Level: Easy
Name three collinear points.
![](data:image/png;base64,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)
Bloom’s category: Understanding
Level: Easy
Name three collinear points.
![](data:image/png;base64,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)
Maths-General