Maths-
General
Easy
Question
Let R = {(x, y) : x, y
A, x + y = 5} where A = {1, 2, 3, 4, 5} then
- R is not reflexive, symmetric and not transitive
- R is an equivalence relation
- R is reflexive, symmetric but not transitive
- R is not reflexive, not symmetric but transitive
The correct answer is: R is not reflexive, symmetric and not transitive
To define the given statement.
For the given R= {(x, y) : x, y
A, x + y = 5}, R can take the values {(1,4),(4,1),(2,3)(3,2)}
From the values, R is not reflexive since (1,1)∈/R.
R is symmetric
R is not transitive as (1,4)∈R, (4,1)∈R but (1,1)∈/R.
R is symmetric
Hence, the given relation is not reflexive, symmetric and not transitive
Related Questions to study
Maths-
Let
be a relation defined by
Then R is
Hence, the given relation is Reflexive, transitive but not symmetric.
Let
be a relation defined by
Then R is
Maths-General
Hence, the given relation is Reflexive, transitive but not symmetric.
Maths-
The relation R defined in N as aRb
b is divisible by a is
Hence, the given relations is reflexive but not symmetric.
The relation R defined in N as aRb
b is divisible by a is
Maths-General
Hence, the given relations is reflexive but not symmetric.
physics-
Electric power =
Electric power =
physics-General
physics-
n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is
n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is
physics-General
physics-
The equivalent resistance of the network shown in the adjoining figure between the points A and B is
![](data:image/png;base64,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)
The equivalent resistance of the network shown in the adjoining figure between the points A and B is
![](data:image/png;base64,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)
physics-General
physics-
A current of 4.8 A is flowing in a conductor. The number of electrons passing through any cross-section per second is
A current of 4.8 A is flowing in a conductor. The number of electrons passing through any cross-section per second is
physics-General
physics-
Equivalent resistance between points P and Q in the adjoining figure is
![](data:image/png;base64,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)
Equivalent resistance between points P and Q in the adjoining figure is
![](data:image/png;base64,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)
physics-General
physics-
The S.I. unit of surface charge density is _____.
The S.I. unit of surface charge density is _____.
physics-General
physics-
A car of mass 1500 kg. If the speed of car is changed from 30 km/h to 60 km/h, then the work done by car is
A car of mass 1500 kg. If the speed of car is changed from 30 km/h to 60 km/h, then the work done by car is
physics-General
physics-
A body of mass 2 kg is held 3 m above the floor of a room. The potential energy of the body relative to the floor is (g = 9.8 m/s2)
A body of mass 2 kg is held 3 m above the floor of a room. The potential energy of the body relative to the floor is (g = 9.8 m/s2)
physics-General
physics-
A force of 5 N acts on a body of weight 9.8 N. The acceleration produced in m/s2 is
A force of 5 N acts on a body of weight 9.8 N. The acceleration produced in m/s2 is
physics-General
physics-
Frictional force is directly proportional to the
Frictional force is directly proportional to the
physics-General
physics-
A machine gun has a mass of 20 kg. It fires 25 g bullets at the rate of 600 bullets per minute with a speed of 200
. The recoil velocity of gun is
A machine gun has a mass of 20 kg. It fires 25 g bullets at the rate of 600 bullets per minute with a speed of 200
. The recoil velocity of gun is
physics-General
physics-
Action and reaction
Action and reaction
physics-General
physics-
The tension in string OB is
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2Wlhbi4+PJyclBEAT6entpamzCbDaTkzsBvV6Pw+mktKSEuFgL06ZPQ6vT0d/fT0NDAzqdjqysLGJjY7FarTQ2NqLIMtnZ2VgsFpxOJ9eamxno7ydnwgSSUpKRfRJVlRX09fczc+ZM4hPikXwyDXV19Pb2kpWVRUpKCpJPorWtld6+XpJTkkkflY4oaujvH6Dmag2JCQlMmTIFn9dHV1cXtbU1ZGZkMnr0aDRaLZ2dHQgaDf/H//l/8fKqVcTGxPqVTA9KmxSuHhsatLJ79y6++PwzBgcGWLBgAZOnTUMQRFBAqxEBAUmWQi4lgiAgigKyJAcUjAKi4FeT+dV0fk2jKAooioAi+z8nCH6dsiCKKIo8rOpTFATRr1EAv0YrXH04QqUo+sulKHJIzenXVYMsK8P3EcTAtaSR3wV/eRQlUBaBQMFDytJgOWVlWN0niiKCKKAEDEmKAqLg/354GQl8139MHn7mwLPIgWMwrEoO/vjfq/9YcEdYuKoSRUFWFP99A8fkQGEUFERR438PYe9WDD5zmKVXCNQVyrCCWPC3QMB/D0VR0CAg6rS4XC5OnDjB0OAQSxYvJjU1JfQZv8lFQBBAxl/mrq4eTp48ydCAlfXr15OWluZ/HlEIlEdAkvwOe5IkMXZsFs/Of47k5JSQINxJGCLmmxSsGKvVyvbvt7E/bx+S18v48eN54YXFrF63DlGjHX5xDAvQTz0mhP0z8nOBE0qYnj7sGBAQr8AJ5Wb6fGVYMO/62M3LGLzPrcs93CBvVu67PhaRZxk+Fl7G25X7Zs98p3LbbTbaWttwOB289uabZGWNu8nnCO1jOHzoIGazmdWrVvGbv/ktBoNxZJ3eUEatVotOp/MLyk80BUVEGMKNWvv35/HDsR+YMWMGZpOJ1pYWNDotJrMZrVYXidvdF0Y0qLv83oP0tLjXcv7UaysoCOG9fUSvPnw92edDkSTMRjPR5uiQjeRGnE4HlRWXOXHiBLm5ubzz7nskJCb9yKr8o/cSHKHu4hEiIgzhFsvs7BzeffcXjM/J5uqVq7S3dyDLwxJ7u0lZoGO6tZOVcGf/K0G4/T1udd3A2wvVmRJ+7rbXE4arOay+w544rGw3WnZvY2EPluEm9xYCCoobTwUbsXLbBnCHeXN4A1NuPOc/4HS58Lo96ALGNv80xT+P9fl8IReJoEFTwT9Fc9gd+Hw+LBZL6Dlut5lfknxcvnyJ/fv3YzKaePcX7zEqI4Ow8QhBHvm84SJ3t8IccRfuqVOnMmXKZAQEKi9V4nF7ArUXKPydyne788JPE/R769DCLh72q3K31xNG/MeNJb6bCrqh87vhpHC7UxFHCayd2js6KLtQRn1NHbGxMSxcuJDs8TlotVoGrVYaGurpun4drVZLYlIS06fPQJYVGhsauXr1Cl6vj8zMTCbmTsAUE0NHZydOlyOwFhrpOlNbW8P+/fsZHBzkjTfeZPr0GX7LOcqw0AqRe96IqVaDC5To6GjM5mjqG+opKMino6Mj5LIAt/ZTGnmxW/w8CITb/nlX333g3Mf35He18NLe3g6AOdrMudJzFBQW0N/fj9vtpuLyJcovXMBisRAVFUX+mXyqqqpxOBzU1taSEJ/A7FmzuFheztCQjezsHLq7umhsaMDpcAIKQqBxd7S3cfTIEa41NbFo0WIWvvBCyJVjRDcQweeNiDCEaz5kWebSpYt8v+07zp0rxev1BHrD+znbVbnvCP56HjVqFHPnzmPFypWkp6fjcjnxeb10dHRw+fJlnE4XWePGkZE5Gp/Py4ljx3E6HHg8HtLS08gaNw6n04nb7WbmjJmYzSZOnzxJY2M9Pp9fG2QdGODUqRNcuFDGlClTWLZiBfFx8T+tI/0ZREQYwtVWFy9eZPv2bbS1tZCdnUVycnJIFen/bCTuqPIw0Ol0pKamkp6WhtlkIjMzgwnjJ2CxWOjs7KS9vR2TyUhMTCyxMbEkxCdQWVmJy+nCYoml+ko1+flniI6OJjo6mnE5OSxftpxr166x4/ttlJwtpKuzg6LCAvJPnyItNZWXX36ZzIzMB9JwIrZmCEptW1sbigIvvbQUj8tFVWUVshSZiGcqD5fgdLeto50Tx45TUVFJQmICiqJgt9twuVxERUWh1WrQ6XQYjEasVituj5sJubnU19fh8XqZPXcOlrg4ogxRLF+xEofDQUlJMVu2bCYtNZVrzc0YjEZWrFjJxImTQ/eNrHbrx0R8AZ2bm0t6ehqj0tMoLSqmSqmK9C1UHgZB1VbAbVyv1+NwOCgtLSUre1zI6Bg0gAWVEEHDX2ZmJhaLBUmSMJvNIdfwtPRRbHjtdUZlZHDo4AEOHj5Ceno6v1izjjnzniHKYAzd934TcWEYP348giDQ39tLe1s7VutgwCKr8iSgAOlpaaxa9TJajYYTJ4/R0txCTGysfweaz4csy3i9PpwuJyaTCYvFgiAIxMbGEFwzhs//09LSmTdvHmVlZSSndLB8xUoWvvACMbGWkPX/QRBxYRBFkYGBAQoLCzh16jR2uw2NRkv4S3hQD6cSWSRJxidJaLQaYmJjmThpInX1deijokhMTCQ+Ph6Hw4Hb7cbhsNPfP0DWuLEkJCQQbsQJuq0oyASt0QX5+dTV1jF//nOsWLHS7zsW1lYeRIuJsDuGTF9fP6dPn+Tg/gO0tDaTkpJ6U/O+ymOGAHaHnebmZrRarX8T/sAA4yfkkpU1juTkJHJzc+lob6e1pQWX24UsSyxcuBCdXjfSNgB+i54AXq+H8+dKOHTwIGlp6axatYaxWVnDQvAA20vE3TEuXiznyJEjRBkMLFy40L9BRJLucAWVxwGXy0V1dTVOp5PU1FSioqKYOXMGmZmZ6PU6Zs2eg16vp6WlGY1Wy9Rp05j/3HxADghCmAU+4ClQX3uVnTt2IIgia9etY/LkyYGZxH3fjfwjIjhN8qtXnU4HEydOZO6cuXR3XqcgP/++64dVHgyxsbFMnz6dwcFBTCYTaWlpxMXFBbQ9CpmZmcTGxtDd3YNOpyUlJRWz2RSyLkOgp5f9o0JPdxc7d+2k83onb739DrNnz8ZgDO47ePAziAgKg39+98ILi1i4cCFajZbDBw/i8XojdwuVh4rBYGDSpEm3OCug0YjExycSH58YdlxBEDSMaNyCgNNp48CB/RQWnmXt2jUsWrwES3Bz/0Miou4YiqJgsViIibHQ29tLdXU1PT3diHfrjqHyBHGDj4is4JO8FBcXs23bNmbNmsXadetDQR0eJhH3WpUkiY6Odnbs2M7ePXuwxFpCm0FUnm5kWUYAmhob+Nd//VfS0tJ4/4P3ycjIvDdv4wgTwVYqoCjQ3t7GN998w4njJ4iLi/PvSJLC3TFUbdLTSFCl3t/fxx/+8AecTie/+fXfkJOdiyhqAucfbhkjpk0SAm7aJ0+e4tKlSyx96SVizNFUX7kSsQR0Ko8hAcu1IIDT4WDjxi8oLi7mn/7pvzBn7lx0IwJ7PVxpiKhvkqIozJgxg3HZ4xg7eizl589TVV3Fw35IlYeEEtgbLoDH7SZv/z42b97MRx99xPLlKzAajQT3Jz8KRHzNMHmyPz6Nx+1maGgQh8Px0Ic/lYeIIODxuCkqOsvnn33OkiVLeOedd4iOjn7gW2bvRISnSX43X6/Xw7lzpRw4cID+/oGAEUXlqUPwx5atrbnK15s2kZiYxG9/+ztSUtNGBA1+VIjYfobgyOD1ejiTf5qtWzZz5cqVEbvcVJ4OglNmWZJob2tn544ddHd18atf/ZLciRPRaLRhG74eHVV7RN0xAIqKiti+fTsK8MILL+Bxe0LxbFSeDoKdY29vH4cPH6a0pJTXX3+V5xcsDLluP4pEvGRW6wCjM0czc8YMBvsHKC09FwicFeBRmyiqRIzhwGwwODhIfkE+x44dY/5z81n3yitER0ffELrjjqFHHigRW0CDPyLd7NlzmDx5CvGWOE6fOolP8o2IZaPy5ON0Oim/UMaB/ftITUvhjbfeIiU1jZuHN3l0esaIjwzB+PutzS1crb5Cb0/PsAU6EO/nUXoBKpEhOCr4fF6uXLnC/v15eL1ePvjwDSZMyA2FB32UuQ8TOIX2tjYOHzrIyZMnEEXNSN8kVFF40giP7drc3MzhQwdpbW1lw4ZXeeaZZ9FpdY9FpUdcGNra2jh44ABnCwoAiLVYUFQL9BOPIAh0dV3n+PFjVFRW8vzzz7Ns+XJMxpuHjXwUiaAFOri55yIXLlwgK2scE8fn0tbRgRQmDI+ablnl5xG0MVmtVgoLCig6W8T4nBzWrV9PYmLSyIjcjzgR3ukGZrOZRYsXM33KVOpr6+js6hrpjqjOk54YgvXudDq5UFbGqVMnsVhiWLduHWPGjH3s9rtHdJokigILFixAEETcLhcXL5aHgtACYZF0H58XpHJ7JEmirraGY8d+wO1yseG115g2fUYgJ8TDLt3dEfGNBjqdDkmSqb1aw/nSc3R3d6n7GZ4whsOJKqGYqM3NzTy3YCHPP7+AqEDKqIexqf/nENGdbgBut5fq6ip27dpJYWEhDrtjhGr1MessVG4gPK7uwMAAx344Snn5BWbOnMXy5SuxWPxbN4NJyB8XQYD74MJdV1fL999vo6GujvETJmAympDU6BhPDMOdnpuzhYWcPHWSMWPGsnrNGjIyMnicu7uIq1YvXLhAf38/a9etQ5AVysoujNAmqTzeBHPDVVRcYs+e3ZjN0ax/ZT0Tc3ND2XQe9l7meyWiQcRA4KWXXmTRokXExVk4feIksiypy+UnhGAbb29vZeuWLVitVn750a+YNWsOgkYMBQp7nKZG4UR4ZBAYNWoUIDI0aKW7qwvbkO2xfTkqIxEEsNlsbNm8mZqaGj788EMWLVmMPiqKYIbOx5kIC4OCIIi4XE5OnTrJ9u3b8Xq86B5ht12Vn44syezYvp0TJ06wevVqFi1eHEhM+HgLQZCIaZOCBhaHw05eXh7fbPqa7u5u4uLjRrpwqzy2nDp1kl27djF37lxWr15NamoqT4ogwM8YGUbkrAwm05YkDh86wvZt3zMqfRTTpkylt6cXyaeGinnc8NtHlVDOhavVV/hy4+ckJSXyyoZXGZuVjSg+WSP+PY8M4XkHQ7pnQSAuzsKatWv58JcfMW36NDRaDT9O0qryqBPsskRRoKe7m88++xSH08lbb7/NlClT0ev1D7V894N7F+0wr4rgNj8BgTlz5zJr9mz0Oh3Xrl3Dp9oYHjuGVaMKLqeLrVu/oaLyMu+++y5z587DbDY/kSN8ZPdAC2CxxALQUN9AaUkJrW2tj/S+V5WRhKcXkCQvx08c58CBg7z00hKWLl1GfHz8E+tec+9PdYuOQVGgrq6Obdu+49SpUzgdzlA4cpXHg2Bki4vl5Xz66adkZ2fz6muvk5aePiJx+ZNGZLtsBWquXmX79u+puXKFjFGjMJnMqjvGY4KiyICCLCs0NjXy5RdfoBEEPvzwQ7KyxqHV6h47t+y7IaLaJEWRqamtYaC/nwULFiD5JGpqakfkgVZ5NPELAsiywvXrnXz/3bc0Njbx8ccfM2vWLHQ6/4L5SZ0iQaS0SWEHx44dyysbNrBqzVoyR48O+LU/mcPqk0Bo/3Lgd6t1gKNHj1BcVMzq1WtYumw5UVFGeIzdLH4qkZkmKcPK08mTJyMIInabje7ubgYHB5/o3uTJQEEQFGw2O0Vnz3Lo4EGmz5jB62+8QawlDp4S5XjE1Tw6nQ673UFpSQmnT55iwGpVQ0w+6ggCbpebqspK8vblERsTw9vvvs2ojAzgcXbKvjsi3mXbbDbOFhawb+9eGhrq0aijwiOPz+ujsaGRgwcOYO3v562332bq1OkgCP4xQbhZ8K8nj4iODIqiUFlZSd7+/bjdbubMmYPH61W1SY8qgfwJnZ0dHD/+A1WVlaxZs4YFCxeGRnNBEELxLZ50IhxeEjo6OkhOTuaZVfOw9vdTVFSkZu55xBh2HlAY6O+nMD+fs4VnmTVrFqvXrsVsih7xqSdfDIYXgyEAABacSURBVPxE1AItCAILFixk/vznMJtMHDt6FK/PN0IL8STrqR8Hwuf/TqeTCxfKOHr0KEkJCbzx5pukpqWhyPJTWUcRz9yTmpqKLMu0t7VRW1NLX28vgrpueLDcNhqPgqL482hUVlZw4MB+ZEni3ffeZ+LkKQR26aDcOCo8BRF+Ip6fQZYluru6OHTgAIcPHUSn16NVM/c8WG7XaAPrhKbGRvbv20dHezvvvPsezzz7bOjLNx0VnnBBgPswMvT397N9xw6OHj6CrCgkJCSErJsqD4/wEC+9PT388MNRrtRcZemyZSxbsRyN6kwZ6fCSCvv25XHs2DHmzJ1DfKyFhvoG1Y37EUEURew2O8ePH+fUqdNMmzaV9etfwWyORg6s5Z6CAeCWRLw7mDx5EunpaUzMzaXi4iUaGhrUKNwPkXCFhSzJlJYUc/BAHhmj0nnrrbdJTU8LdGZPsxj4iagwCILA3LlzAQGPx4vdUYzH7XkqNROPEkGBuFRxie07tqPXR7Hh1dcYP34CAiJPj4359kRczaPRaBAEgarKCk4cP6Zu7nmIhPZcCQItrS3s2rUDq3WAl1e9zJw5c9HqdKHzT/sUCSKY+taPf5FWdv4c32zaRElxCZJPGhGbXx0l7g/hC+QggqAgCDA0ZGXv7l1UV1WxcOELLFq0BHN00LCmEiTC7hgCJSUlfLt1K4ODg8ybNw8FRiygVaPb/SHkBQDDQ4IiI8sShw8d4vTp08yePYcVK1aSlJwc0AA++nnWHiQRtjMIdHf3EJ+QwOJFi7ANDlJ2oXyEalUdjO8vAiADggIIAgUFBezdu5cxY8aw8uWXGT1mDBqNRt1jchMiPpmfOXMmuRNzSbBYKCwoQFCH4geOgH+kuHr1Ct9//z0Gg4E1a9YwaeJEdGHrBJWRRFibFEx9Cz3d3VxraqKvr191x3iQBGKednZ28N227+ju7uatt95i9uw5GE2mh126R5qIjwyiKNLT080PR49y7NgxJEke3tOgDhL3HwHsNht5+/Zwsbyc5cuX8/zzC4m1xKlRSu5AxN/O9evXOXTwIMePHcNus2M2haU+FUCViMgTrknyeb2cOnWSI0eOMmPGDJYvX0FKSsoIlxmVmxNR3yRFUaiouExpaSkpySlkpKXT29c/cnOPOle9byiyTEXFZXbs2E5ycgrr1q9nzNixqt/RTySiaawAtFots2bNYvKkSbS1tFJYWKj2SBFnWHsXfLeyJNPR0ca3W7dgszt49xfvMXnylFCyQZU7EzHVql87oTBz5kymT5+OVqPhWlPTyNS3KhElmIgewGodYOeO7Vwsv8QvPviA+fOfw2hUF8x3Q8TXDHFx8cTGxtLa2srF8nJ6e3vUUDH3EUEQcNjtnDp1krz9+1m0eBGrV60mOjr6YRftsSPik0mv10N9fT15efvIz88nOjpGFYaIM+z+4na7uXjpIps3f0N2djbvvf8+CYkJ6mh8D0Q0IAAoXLvWxJ49u7l86RIJCQlYYi0jAgKo7hiRw+fz0VBfx7ffbkUQBD7++GPGjM167PIvPypEdM2gKHDp0kWam6+xcMECdBot1dXVauae+4AkSbS3t7Fnz27q6+r4u7/7O+YE3OfVd3xv3EEY/Js+gs5fgTS/gWPKCD+joGp1woRc0tMzyBo7lvMlJVRWVI4ITvi0jwzhkUSCf4c7zf0U5zlZlunt7eH4sWOcPn2aDRs2sPLll0PXUbk3bikM/uTXCiAH2r8QcAATAscEEG+sXJEZM2YCMDg4SF9fPw6XE0FUXbhvRJbl0PRREAREUUCWg4IQDOl8Q7Rz/O/bNjRE0dlC8vL2MWfOHN5++130egP+mKnq+71XbikMXq+XwcEhPB4XoCCKGgRRi8loxKDXBzbs/PjFKzJ4PC7Ol5Zw6NBBrNYBdXNPgPC94k6ng+7ubux2JzExMSQmxmM0GvDbDsIj2UEwvAuAx+OmsuISe/fuJi4ujl/+8pckJCY+9SNuJLhlK3W53ZwvO8/OHdtxOuzMn/8ckgzNLdeYNmUyr254ndg4CzAyOobP56WgoICNGzdSXl5Odk72g3mSR5zg+5G8Puob6tm3dx8xlhhGjx7DlStXEUVYvXoV2dnZoVwIEBwNAv/LCk2Njezes4fe3j7+8//9D+ROnPxEJCR/FLilMJhNJrLGjiEtNZnBQT3vf/Aeer2B+voG/vH/+Qf6+6z87j/8LSaTacT8t6CggC+//BKNKPLKK6/gcrmQfL4H9kCPLIqC1+OloaGB3//+9yxd+hKvvfEaoqhl6dJlfP7ZJ2z8/DM+/OgjJk2aehMXCoXrnR3s37ePyooK3v/gAxYuXOg/JahrsUhwSwOAKIrodDr0+ii0Oh1GoxGTyUR2djbp6WlcvHgRr9cL+Oe/wQV0X18fU6ZO5Ve//g3PPPssoigGkqI/5Ss7QWDIZmP//v30dPewYuVKoqIMaDRaDIYoli5dyrXmaxSdLaZ/oN8/LVICazZBYWBggCOHD3G2sJDly1ewes1aNBodyCMX5Cr3zm2tYQICAgpOu4Pu7h7a2zsoOltIf18fzz//PHq9/kc90tKlS/n4498xb94z6LQ6FFlR97bhn+YMWq0U5OeTnp5GfEJCIOG4/+1kZWVhNJj8VvueHvzrBBlFAafTRcHp0xw/fpzcSZN4ZcMGLLEWkGUU9eVGjNuvbAUBWVaw2Wy0tLTh8XjZs3sP9iEb06dPR6fThQw8wTmxxWLxR2Noaaai4jLXu64jqslKUGQFp9NJT28vkydP9o+YBLRJioLBaEKv09HT1YXT6fQfFwQkn5ey0lIOHjxIrCWW1954ndFjxnKrUEdqBKR75/Z+EgqIgobo6BgyRqWTk5PNqtVrSEpKYd/evfT39o1QrYqCiCAItLa2sHvnTo4cPkx/fz8ajTjimk8lAmh1WnQ6HU6nw39MCVpqBGTJh6IoRMdED2/NRODqlavsz9uHx+Nh3br1TJ06Da1W61dX38TSrArCvXOHkQEEQcRkMJGUmITeYMBsNnOpvJxDhw7xbkeH3w9GFEMGudbmVrbv2E5pcRGxsRbi4uOQJNl/0m+946msMkEgOiaGadOn0dbRhsvpJMpoDFnZ+vv7cbrczJg+nTiLBQFobmlm//48Oq9fZ9my5Tz73HMYDEZ1fXCfuOXIoCgKPp8Pt8eDT5KQFMk/h5UVHA5HaEGN6I/IpqAgSRJFRWepqqpi1uzZLF2+jPiEhIBxSXkqZSCcuLg4Xl61CklSKC4qQpYkFEXB6/VSWlpCXHwcz86fT0JiEv39ffxw9AhV1dXMnDWLxS++iMUSp+4NuY/ccmTweDz09/Vhs9mwOxycO1eKXm+gtaWNwcFB3nnnXVLT0hDFYeOQIAiMzRrHq6++SnbOOK5UVtPc3DwiVMxTOi4AYDAYeOaZZ+jp7qasrAyj2UxKSgotLS00Nl1jxcqVTJ02DQQ4W1hIcVERWWPHsnTZctJHjQoY4pQfucKoRIbbumPExMayaPEivF4Pen0UolZDYlIiG159lWnTpxMdEx2ylPrdMwSmz5iOokzD43FRcrYYu90e2vjzNBOc2iQkJLBm9Rqqqqtwulx0dnYiSRLz5j3D+PHZxMTGcqGsjKNHjmA2mVi6bDnjJ+Si0Wj9awRVCO4btxQGnV7PmDFjGJ2ZCYCsSCCIaDVajFEG0IRXzHAKPIPBgMvlpOJyBfn5+XR1XQ8kKwksFZ+6+W5YbjRBQBRFkpKSWfD8AvoG+nG5XJjNZiyWWDQaDfX1deTl5WGz21i3bj2zZs3CaFC3bj4IbikMWo0Gjdl8g7tYoCHLyg0OZMMN3Ol0UlZ2nn1791JVWUlCwg0bTZ6qeZIS9n9YZ6CAVqsjJSVl+JOKTG9PD3n78misr2fZsmU8v2ABsRZL4BNPzUt7aNxWmxT++gMuZv6Gf5OIzcGFXUVFBfv27qWnp4cpkyZjc9ipqKjAEhfnT6eq8BQZim7VZQyfDdpoRODqlSsUFRYyb948XnzxJZKSk0Nj7lPzyh4iP9Gd9IbKuKFmwr0x29ta0el0vPzyy3jdbvbu2cuZU6doamwMbP9UnrLVw41O2Dd0MoLfyi/5fNTX1jNt2jSWr1hB5ugxCIKoisEDJKJxkwRBYM7cuUwL6MoLzpxBp9cyeswYps+YjlYUUb2UhhEARfCPtv19fdRcucr06dPJzBwdyp2g8uCI8LZPhczMTBQUuq9f51pTE1qtlpdXvcyG117z+yqpcdBDCLKCIvj3ijQ1NlBZUUWUwaDGpn1IRDyImKIo9Pf3cvr0CY4ePYzXK6HT6dBoNIgaraojD0dUAiODiCBqRuRfVnnwRDRzj18Q+jly5DC7du6iu6eH6OjogJexGpz+RwS2yoZ+DbwnVXP0cIh4UvSCggL27csjLW0UUyZNpbu7O7S5x79rS1Dr+pYogS5DUTfrPAQiPjk1Go2sWrWaX//mb5g+YwaiRjNiL6+6fL4TSijZiMqDJWJrhmDlLV68CEEUUWSZutoaZEkOnPP/qJOlkYTb8NU383CJ2JpBCWzt1Ov16HQ62lpbKTp7lqZrTWjE8M09ao8XJOTRHkBdLTxcIiIM4fNbRVGoq6nhyy82cvjQYVxOlxprVeWxIKKqVUVRqK6u5utNm2ioq2fSxImYTOYbkpVE6o5PJup06eFxHzL3VOB0uVizZg2S10dFRYUaePhuUOdKD40IZ/sUmTVrFtk5OaSnplFWeu5HHqtqPd8eQX1HD40IZ+6BceOyURRw2G10dnbSPzCgjgR3izpPeihEdJoECjqdDrvdRkFBPkePHsHpcPpdtyHomRaJW6qoRJwIqnn8jXxw0Mrx48fJy8vjemcn+qgotaNTeSyIoNENZFnhwoULHDt2DKPBwPz587HZ7chh2iTVUU/lUSXiXqsej4ecnBymTp5CT1cXxcUlgVirKiqPNhF11BMEgenTZzB58mSizWaOHf0Bj8ejjgN3gSKoy6qHRcSziKSlpSErCk0NDVRVVtHX14cY5o6hapZuj2pmeHhEXBhkWeJa8zUOHjzAmTOn0ev1qjvG3aCaoB8aEReGtrY28vblUVxUhEarxWKxjIiop6LyqBLRPNCKIlNWVkbF5ctMmzoNg8HAtaamEb5JT1XYJJXHiojvdEtKSmLtunVMmTyZyspKmpqaQq7KwdhLqjjcGdWH68ETYd8kgQULFiAIIjabncLCszidzlDTDybrU2VB5VEkoivbYMpWr9dDdVUFxcVFDFit/tD1AQFQe7vbE1Stqu/pwRNxNY8kSVwsL2fL5s10d3ezdNlSZsyaFdIoqfkFVB5VIroHWlHg/PnzbPzsc2w2Gx99+BFLly/HbI4GAvPgSN3wCUVQ/D/qmuHBE+GdbhI1V69ijjazYcMGlry0FKPJFFCtqhV7N6iC8OCJqGoVNKxZu5blK1ZiiY3FaDIGIkmGJzhUp0kqjyYR1ybFxyeGfr9p76b2eDdHtTw/dCJugVZdL+4R1SnpoaO23EcMRRWKh4YqDI8Iyk1+V9XQDxZVGB4xgqpVUDVKD5qIrxlURvLTevfbp7T9KddQBefnowrDfSI8UfytP3Ojo9bNk5XceI0RonGjoKiZke4ZdZoUQUb04D+lN1fCYpKHvHrvHKdcCP8Ja/iK6gX5s1BHhggyHD+Km6YHvh1iwC4jirewz9zuvgiqjSICqMJwH7DZbFitVnxer//AjxNqD/uzBxp+R1srLqedvr4eWlqaGRwavMNd/EOJIAjodDrS0tL9iRHVgeGeUYUhgiiKgizL1NXWkX/mDINDg4gaIdBoISABIRkQFBk5MIIMDgzQ29tDWdl5rEODGIxGgi37Zp2+gOIXJkUgLj6OX/7qNxiMRtXB72egCsPP5SbT9Pr6eo4cOYI+SkdGxqhAFHL/B4PTKJFA4DUCiaskiYm5k9DotHT39AQSoo+8TTiCAD6vj/bWNkDg3V+8H3CKVOdL94oqDBFiePYjIHm9xJjNvPjSi6xetwbJ50OWFRwOO21tbYwbN44ofRQoIAv+ht3X28e1pkaSU1JISU1Fr9ODEBxLfnwjQRAZGrKye+dOCgoKkGUpcFwdFe4VVRgixHBMZf80xWAwkJiczOjRYwFwOOycO1fKwYMH+af/8v+SkpI64vudnZ3sy8tjzZo1TJs+k7i4uDves6+3l4SERDSiJsxOoWqU7hVVGH4uwg2/CoSZkf3duM/npa2tlePHj1NdXY3H40VRZH+6x0BS9OnTpiMi4HQ6kWUJSZJC839R8GvAZVlGVmQEAURRg4KCIgcSSIYilKhmhntFFYZII+BXjwb+lGWZnp5erl65SmJ8gn8/eKj3HvbK0+v16HU6REHA5/PS29uL0+nCbDYREx2DoihYrQMMDQ6h0+uwxMXg9XiRAxmTFHk4xKfKvaEKw33Dr0UaGhqk+VojOq2GKVOmcPrM6bCe2x+RPJjbAvwu8A6Hg6qqaoaGbEyZMgVtpoa6ujoaGhqIjo6ms7MDt8dN7oQJuN1uRFEMXVMdGe4d1QIdaQLt2h+iX6K3pxfrwCCTJk8hzmIJRRAJBV4DQPD37AJ4fT7q6+rweNxMmpRLTk42AwMDnDlzmr6+Hp6bPx+j0UhRURFd3d1ERUUFruO/nioI944qDJHG7yOBoih0dHRy8eIl+gf6cdhtNDTUY7fbaGpsZGhoMNRyhcB3ZFkh/8wZCgoLycoax5Qp0zCZTDgcDmxDQ8iygsFkJCUlhdGZo0lMTMJoNCLLsppsPgKo06RIE2iTkiTT39vHwICVK1erOP7DEXp7emlraWbLli18bDIzY9bsYYEQBURRxGwyU19Xz8WLl8jMHE1SYiKjM0eTkzOB2poazuYX0tXdRWZmBpNyc6mvqQmMMuqQ8HNRhSHSBNSroiiSOzGX5StXYrcNIvl8XL50kU8+/ZRf/fKXTMjN9a8Xgt9TQJYkcidOJEdRKL9YTlxcHEuXLUWr05GelobL4cBgMDBp0iRS0lKIijIgy7JqaIsQqjDcJwQB9FFRJCUnk5iUgMfjpaevj6TkNNJGZWA0mkakAu7t7fX/Iis8M28uA/0DFBYWEB8fz7ixWTQ0NHChrIyenh4MRgMpaSmMyxqH5JMQBHW2GwlUYbgPhHfU/sWyFq0WMkeP5c233yY21hIKwhzUJg0MDLBsxXKio2OwWCwsXLCQ611daEQRq9VKSkoK02fMIMoQhcPpoLOjk97uHnp7e9BoNKHRQTW53TuqMNwX/Nt2wlulKIokJyezZMkSTEEfosCUCgEyR48mJTUVAYiKiiI9PQOP14tGo6GoqIima03MnDmLMWPH4PG4uX69k472drq7ukbcWRWEe0cVhkgTtn85fEeDKIp+w5pe7/9YKA+e/3x0dMwtL5kQH4/P56X84gVa21qINptJSk5i6rRpdHZ0+h0BVZ3qz0YVhgjjd5FQGOjv5/y5UjRazW0WuEqYF97NfVQFwGodwNrXR3t7B4oiExMby5issSQlJlFXW4vH6x32TFJduO8ZVRgiSNCQbDAaEEWRyooK2tvbQwGXb5SJHzdZ5Ybzwz6rPo8Pl9OJJEtY+wbo6epG1Ij09fVhsVjU4G0RQBWGCCIIgCgybfoMPvzVr3DYHSNnL3epAQ2KQnCvc9BhT8HvjyQH1h0xMRaMJmOgDOqocK8IiqqkVlEBVHcMFZUQqjCoqARQhUFFJYAqDCoqAVRhUFEJoAqDikoAVRhUVAL8/4CqfRBWhamTAAAAAElFTkSuQmCC)
The tension in string OB is
![](data:image/png;base64,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)
physics-General