Maths-
General
Easy
Question
Let
be the set of six unit circles with centres
arranged as shown in the diagram. The relation R on A is defined by
then
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/839751/1/1167938/Picture1.png" alt="" width="98" height="79"
- R is symmetric, transitive but not reflexive
- R is only transitive
- R is symmetric, reflexive but not transitive
- R is neither reflexive nor transitive but is symmetric.
The correct answer is: R is symmetric, reflexive but not transitive
![open parentheses C subscript i end subscript comma C subscript i end subscript close parentheses equals 0 less or equal than 2 square root of 2 R text is reflexive end text](data:image/png;base64,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)
![open parentheses A subscript i end subscript comma A subscript j end subscript close parentheses element of R rightwards double arrow C subscript i end subscript C subscript j end subscript less or equal than 2 square root of 2 rightwards double arrow C subscript j end subscript C subscript i end subscript less or equal than 2 square root of 2](data:image/png;base64,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)
![therefore open parentheses A subscript j end subscript comma A subscript i end subscript close parentheses element of R](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF4AAAAWCAYAAABJ2StvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAPUJuPDwAAApBJREFUeNrtWT1II0EYXUREjkOwkBCOcI2FWAWCHHIccnDFIXIEQSSIWAgiVhaCWMhxhU24IogErpIrJCCHhYjNcUiwEiSIWARBrGwtRYKw9wa+hTDMzszOT0gWHzxIdiffvPn7vrebIPCDKrgQdC8Wwb0gZajSwLodi6Q1FZgBD3tI7x/S3PO4Asc026570pAk7hhp9oVnMAQfwAvwFBxx3ckEWNdsOw+2wH7HGkzi1km7aoEqYAN8oj5CxW9GBYu6A5ZdT/w2uKXRbhi8Bv+CRYf9m8Zlmr9L7s+CN+AqWAAHNOMyDQeCjbGvKyzUWF2GI3Bao90vsAQuOXYWpnGnSbsIOdrlbwz0sMXc4K79SJIKdSf+Hswo2kyCJ/SZtb1zNOk2cbOkXYRdi1PJTMa3tu9DYFNjjhKD5b4+yX2Wdy9pF0VoJCjGvuL2kXYRHhRjkuGWFpXp+0qa5nxU8NDg6LFis2bZr4u4Lcn1UELZYr5wbT/5sk6hwhU0BNenwGOLPl3FbTne8R/AMy4Vln1NvCzVnEt2TZz9Yzt5U9Fn0riimLJUUzHM8SWBe2Fu671pMS3SvVqC4rpCA4hDTdMN+YqbkRTXHNWPtwm17ZI+3gD89jHxIjuZJW8tE74cM4HNtoJZo36LlnGbXBFW2cnIe0c+Pq/5cBZnrf+B4514gDrUeBfyjhyA7PjzE28SNy6lqB6gRE+uL4qa9ggOxtjeU9cTX6Cc6wJ8cbJJSbKYUZ0o9PpLMhe+PCpO7fkwT8e93zLmfodfknUMXyztYXtxWuXSRsZBTL7gMa2fg5Tgp2CASXFkmVZ0Yq6Q1lSB7S6bf6EeDSycTsyo4KXyrz9bfCTv/IoO1odnsoD5tA/2P9N4tlFAT+odAAAA5nRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMjM0OzwvbW8+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1zdWI+PG1pPkE8L21pPjxtaT5qPC9taT48L21zdWI+PG1vPiw8L21vPjxtc3ViPjxtaT5BPC9taT48bWk+aTwvbWk+PC9tc3ViPjwvbXJvdz48L21mZW5jZWQ+PG1vPiYjeDIyMDg7PC9tbz48bWk+UjwvbWk+PC9tYXRoPgeD+zAAAAAASUVORK5CYII=)
R is symmetric
![text if end text open parentheses A subscript 1 end subscript comma A subscript 2 end subscript close parentheses element of R comma open parentheses A subscript 2 end subscript comma A subscript 3 end subscript close parentheses element of R rightwards double arrow open parentheses A subscript 1 end subscript comma A subscript 3 end subscript close parentheses not an element of R](data:image/png;base64,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)
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Physics-
A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction B. At the position MNQ, the speed of the ring is V and the potential difference developed across the ring is
![](data:image/png;base64,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)
A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizontal magnetic induction B. At the position MNQ, the speed of the ring is V and the potential difference developed across the ring is
![](data:image/png;base64,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)
Physics-General
Physics-
A copper rod of length l is rotated about one end perpendicular to the magnetic field B with constant angular velocity
. The induced e.m.f. between the two ends is
A copper rod of length l is rotated about one end perpendicular to the magnetic field B with constant angular velocity
. The induced e.m.f. between the two ends is
Physics-General
Physics-
A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The centre of the smaller circle is at a distance of R/3 from the centre of the larger circle. What is the position of the centre of man of the plate
A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The centre of the smaller circle is at a distance of R/3 from the centre of the larger circle. What is the position of the centre of man of the plate
Physics-General
Physics-
In the figure shown a particle of mass m moving with velocity
strike a wall ( mass is infinitely large) moving towards the particle with same speed The work done on the particle during collision is
![](data:image/png;base64,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)
In the figure shown a particle of mass m moving with velocity
strike a wall ( mass is infinitely large) moving towards the particle with same speed The work done on the particle during collision is
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G8vDzs27cPkyZNQo8ePXDkyJEOT+4TQuDv7w8/Pz/bvqSORiqVIjw8HGlpaVi8eDHWrFmDxsZGLF261KFxsMC3GSgsLAyZmZmIj49He3s7ioqK8MEHH8BgMECj0UCtVtt+NBoNDAYDtm7diuLiYvA8j7FjxyIjIwPPP/+80xc37UlraytKSkqg0+mg0+lQWloKlmUf+QWyrtM9OMFxNNYy58jISISHh6OpqclWtu5IHjpxPXjwYCxbtgwtLS0oLy9Hfn4+ZDIZgoODHzqtIZVKcfnyZeTn50MikSAmJgZLlizBwIED8eD7iYHGxkYUFBTAzc0NEydORGBg4DNxzaX1Mxg4cCB69OiB27dvo6ysDCNHjnRcz9JReerly5fJL37xC8IwDAHwyB+GYUhUVBS5cuWKAEWyTwcNDQ0kJyeH+Pr6kpUrVxK9Xk+OHTtGpFKpQ0uYu8KjypxLSkpIeHg4UalU5PPPPyetra0OiafDUXdwcDAKCwsxadKkDsuc/19KSKVS7N2796kqirM3Xl5emDNnDqqrq8EwDG7fvg2dTofhw4c/M5OWsWPHwtvbG3PmzEFaWhrefvttjBkzxi7rj53xyKPj4+ODv/zlL2hvb3+kXBKJRNRiWZFKpeA4Djdu3MDhw4dx+fJl7Ny50ylXMf9UBg4ciHfffRdRUVHYsGEDfH198dJLLwnaZqdfvd69ewva+LMCIQS+vr4oKCiARqPB1KlTERgY+EyNLVmWRb9+/RASEoK6ujpUVlZi6NChgn5Bno287mQ4jsOkSZMwaNAgBAYGom/fvs+UWFYUCgWys7OxevVq7Nq1C927d0dCQoJgA3wqVxdgWRYhISGdXlH+LGAtc5bJZMjJycGyZcvAMAx++ctfCiIY3Z/LxZBKpejbty88PT1x4cIF6HQ6weriaOZyQbRaLaZOnYrhw4cjJiaGdosU++Hp6Ynk5GTb70SgRWHaLYqQrhQc/Ji//6lQuUSI0WhEZWUlbt265dRTVVQuEdLQ0IDt27fj2LFjVC6KfSGE4O7du7hw4YLtwmFnSEblEiFubm5wd3dHUVER9u7di+bmZqcs+lK5REi3bt0wd+5chIWFYcOGDdi2bZtTtqeicokQjuMQEhKC7OxsDBkyBJs2bXJ4FSpA5RIl1krU4OBg9OjRA01NTfjPf/5je95R4y8ql0ixllvHx8cjLCwMX3/9NfLy8mwlVI4QjK7Qi5z4+HgoFArMmzcPM2fOhEqlQnx8vEOuSqKZywWIjo7Gli1bYDQaMX/+fFy+fNkh7VK5XAQvLy8MGzYMbW1tOHfunEM2zqNyuQghISH485//jODgYKxfvx4FBQXQ6/WCtknlchFkMhmGDBmCrKwsqFQqvPfeeyguLu7wqnF7QQf0LoJ19jhq1CgQQrB27VqsWbMGarUaSUlJglzJRDOXiyGVStGnTx94eHjg6tWraGhoAMuyz+bOgpSnD39/f8yaNQv37t1Dbm4uAgIC8NJLL0Eikdj1HCTNXC6IXC5HXFwcMjIyAAArV67EZ599ZvdaeiqXC8IwDDiOQ1JSEkaNGoVTp07hwIEDdt/mnMrlojAMA7PZjNDQUMTExCAyMtLuF2rQMZcLI5VK8frrr2PatGmQSCR237yYyuXiSKVSwTYupt2iCHlathqgcokQ64bAP/bWhvaGyiVC6uvrkZubi8OHD9sKB50BHXOJEIvFgosXL2LhwoUAgJdffhkcxzm8u6RyiRAvLy/Ex8fj2rVrWLJkCXieR0JCgt1X4B8H7RZFiFqtRkJCAhYuXAie57F69WocPXrU4ZmLyiVCLBYLzGYzxo8fj3HjxuHSpUvIyspyeBxULpFizVJ9+/ZFcHAw7t+/j+PHjzs0BiqXyElJSUFmZiY4jsPs2bNRXl4Oo9HokBkklUvkyOVyJCYmYsWKFSCEYNmyZSgvLxe0AtUKnS26ACqVCmPHjoVarcaECROwceNGKBQKxMTECNouzVwuAMMwkMvlCA8PByEEVVVVaGxsFLxdKpcL0a1bN+zZswcmkwnZ2dn4/PPPAdBtKyl2QCqVYvTo0XjrrbdQV1eHFStW4OTJk4Jd3k/lcjFkMhnGjRuHjIwM3L59G9nZ2Thz5gza29vtLhiVy8VgGAbu7u6YOnUqFi1ahPPnzyMnJwdnz561u1x0tuiCMAwDtVqNadOm4ezZs9i+fTt8fX0RFhYGuVxut3Zo5hIh1gtgHwfLshgwYAD8/f1x6dIlu2cvKpcIMZlM0Ol0qKur61QW673N09PTcfHiRfzxj3/EuXPn7BYHlUuE6PV67N69GxUVFZ1ei8gwDHx8fDB9+nTMmjULZ86cwfz581FZWWmXKlYqlwixWCy4efMmamtruySJn58fZs2ahdzcXHzxxReYO3curly58sRxULlEitlsxrp167Bv3z60tbU9diyl0WjQp08f8DyPixcvwmAwPHEMdLYoQrRaLV599VV88803WLhwIUwmE9LS0h5biTpgwADs378fSqXSLveWpHKJELlcjiFDhmD8+PFYuHAhsrKyIJFIMHny5EdulUQIgVarxYQJEx567EmqV2m3KELa29thNpsxatQoZGVlwdvbG5mZmSguLobZbO7wNR1J9KRl0VQukWIVIzExEenp6dDr9XjjjTfsvtlIZ1C5XICgoCAMGjQIZrMZ5eXlaG1tpZWoFPsQHR2NlStXol+/fli8eDGKi4vR1NREd3OmdB1CiK264cHFU7lcjhEjRmDjxo3gOA6bNm1CSUmJ4KXOVC4RwbIsFAoFOI57aOca62Zvw4YNw/r169HS0oINGzbYigWFgi5FiAhfX1/s2rULJpMJ/v7+P3ieZVmEhoaCYRjU1taioaFB0HgY4sz71FIcjtlsxtGjR7FkyRKYTCa88847iIuLe+I1rY6g3aKLIZFIEBMTg8WLF0MqlSIrKwsVFRUwm820EpXyZDAMA4VCgcTERCxatAj19fXIycnBv/71L7qbM+XJsQqWkpKC2NhYlJWVYc+ePY9cvf+pULlcGJ7nERYWhl//+tcYNGgQWNa+OtABvQtDCEFTUxOam5uhVqvh4eFh10E9lYsiGLRbpAgGlYsiGFQuimBQuSiCQeWiCAaViyIYVC6KYFC5KIJB5aIIBpWLIhj/Byb2mbk/OWZ3AAAAAElFTkSuQmCC)
Physics-General
Physics-
A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The centre of the smaller circle is at a distance of R/3 from the centre of the larger circle. What is the position of the centre of man of the plate
A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The centre of the smaller circle is at a distance of R/3 from the centre of the larger circle. What is the position of the centre of man of the plate
Physics-General
Physics-
The kinetic energy of a body decreases by 36%. The decrease in its momentum is
The kinetic energy of a body decreases by 36%. The decrease in its momentum is
Physics-General
Physics-
A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled x ?
A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled x ?
Physics-General
Physics-
Which of the following graphs is correct between kinetic energy (E), potential energy (U) and height (h) from the ground of the particle
Which of the following graphs is correct between kinetic energy (E), potential energy (U) and height (h) from the ground of the particle
Physics-General
Chemistry-
When pH of a solution is 2, the hydrogen ion concentration in mol litre1 is:
When pH of a solution is 2, the hydrogen ion concentration in mol litre1 is:
Chemistry-General
Chemistry-
The decreasing order of strength of following bases is:
The decreasing order of strength of following bases is:
Chemistry-General
Physics-
Two rods ofsamelengthandareaofcross-sectionA1and A2havetheirendsatthesametemperature.If K1and K2 are their thermal conductivities,c1 and c2 are their specific heatsandd1andd2aretheirdensities,thentherateofflow of heat is the same in both the rods if
Two rods ofsamelengthandareaofcross-sectionA1and A2havetheirendsatthesametemperature.If K1and K2 are their thermal conductivities,c1 and c2 are their specific heatsandd1andd2aretheirdensities,thentherateofflow of heat is the same in both the rods if
Physics-General
Physics-
In a room where the temperature is 30
C,a body cools from 61
C to 59C in 4 minutes. The time (in minutes)taken by the body to cool from 51
c to 49
Cwill be:
In a room where the temperature is 30
C,a body cools from 61
C to 59C in 4 minutes. The time (in minutes)taken by the body to cool from 51
c to 49
Cwill be:
Physics-General
Physics-
Steam at 100
C is passed in to 20gofwateratl0
C.When water acquires a temperature of 80
C, the mass of water present will be:
Steam at 100
C is passed in to 20gofwateratl0
C.When water acquires a temperature of 80
C, the mass of water present will be:
Physics-General