Maths-
General
Easy
Question
If
then
Hint:
To find the value of angle A we will solve the equation using the cosine formula .
The correct answer is: ![A equals 60 to the power of ring operator](data:image/png;base64,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)
In
ABC,
![fraction numerator c over denominator a plus b end fraction plus fraction numerator b over denominator c plus a end fraction equals 1
rightwards double arrow fraction numerator c left parenthesis c plus a right parenthesis plus b left parenthesis a plus b right parenthesis over denominator left parenthesis a plus b right parenthesis left parenthesis c plus a right parenthesis end fraction equals 1
rightwards double arrow c squared plus a c plus a b plus b squared equals left parenthesis a plus b right parenthesis left parenthesis a plus c right parenthesis
rightwards double arrow c squared plus a c plus a b plus b squared equals a squared plus a c plus a b plus b c
rightwards double arrow c squared plus b squared minus a squared equals b c
rightwards double arrow 2. b c. cos A equals b c space space space open square brackets b y space cos i n e space f o r m u l a close square brackets
rightwards double arrow 2 cos A equals 1
rightwards double arrow cos A equals 1 half
rightwards double arrow A equals 60 degree](data:image/png;base64,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)
Related Questions to study
maths-
maths-General
Maths-
The quadratic equation whose roots are I and m where l =
is
The quadratic equation whose roots are I and m where l =
is
Maths-General
Maths-
In ![straight triangle A B C comma left parenthesis a plus b plus c right parenthesis open parentheses tan invisible function application A over 2 plus tan invisible function application B over 2 close parentheses equals](data:image/png;base64,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)
In ![straight triangle A B C comma left parenthesis a plus b plus c right parenthesis open parentheses tan invisible function application A over 2 plus tan invisible function application B over 2 close parentheses equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQgAAAAmCAYAAAA4JwUNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAABwJJREFUeNrtXXFkXVcYP66IiCgVU1MVIqpqotRURUyIqaiKERMxUyNmaqpCVcRElJqZiilVUVVVamKqalRU1EyZeaKqwtT+iIowFTER4e78lu/JzXnnvXvOfee8d+67349P3ru5753zne/c737fd37nPiEYjEp8I+UnHoZcYJ7sxWA0BINSSlLaAuzb5QLZYVvKrpS/pfwl5bGUDzXnwU4rUj7hqcvwjU4pb6WcCrBvn0vZCdRxuUYfOekk5qTcrXL+R2S3Lp7CDJ/AJLwVYL8O013ymZTRAtgBOj5Qjn2mOaamGnM8hRm+8IGU91KOBti321LGpXwpilEb+U7KVeXYPSnnanwG6ccm2ZHBcI5pKfcD7NdZKU/o9RHKx1sdjyiKiCjdWxBm9RecN8NTmeEDr8VegTIkoN7wh5RjiWN/SjnR4rZYlRKTbKVEDkkMSHnDU5nhGselbAQaak8px66L1l7Wi8gpAO1ShqX8TjYywXoBHCijwbgoahfAmoETFC2owHLe4xa2xRkpS8qxCSnfG37+AdmTwXAGFMC+DqxPLxJhtiqtvNw5TrWEJL6Qcsfw81+RPRkWQEh6g4fh/zHQhecoAo4E1M9JKTdr/P9hYP11iXlNBLBAjsMEqFc85alujn7K4Rh7+I3GJAnUH0JZHsNyHTgPXSl3yZstap9FsV+UhE3GxB5pqt3w812igfUkFEhA+Ryq4zvSlmdMKaW9lIdhsP6l80EMOWxwQTSbGYj+RoFMwNMUvofaPyzxnU85B1yN1RZ1EP8kUqltipZsuCkR2dM7IvLkw/Q3ywRKo8eaUkqnKAweTPTjGDmfuzXaP0UOopnoo/ELLb8/nXgfp0zYIiLPeu80opErUmbp9ayoXG5Kgwk91oRSCkbZnYw6IOK45GFsYotzR+ku0Kj2TPCtOFiTiRvYdrMRN2nMQ9QxM7rFHnGmk9530vtui+8wocemUUqPU9qRtWL9q9CTfyJyeuvkbRHF9HgyAHScpvbeUdj4vEoa5crgXeQc10i/RSUVAztxyeD71dUDFRekvKQ2EPIPVOn3GNkRui+Lg8SnEC+evOvt3UHg4p5Qjo3TcROY0mPTKKU/iPq2+G5WKe6gb/N00USJfvgwwCPS/2qivR8to4rY0jmAPwBC0SHSf0rJ69tpbOqNIBDpnaTXqLy/0nx2jJxVT+K85ZxHEKHrberwYwNnaJW36yrgKmzosWmU0teUw2fFrubYOF20atQy4umCXU1MpjIOKReoy/ZukPOzyVNdpBiRJvfFZ4cMzstzihGi3l4jiFpOwKToZ0qPTaOURhSaCccO4jlFOEksp6QYWT1vtYpyR4qDqKe9DZG+suPDQejOjS2+M65TXI9l6Ho3xUGYpBHl2oIONvTYNEppu+Vd1jTFUJf0ko7KtYc+Qw5Jl4IteWjvY1G5hKmDqxRjhiKk3SoTN270BG5QBBG63l5SDNNCZDflXB2a/9nQY00opVtiv1CaBc80BSSVRDJQxam5mGTQUbcMe0XYbcs1bQ9p0qJhjWipTgdxm/LsDkd30rw4iDzo7aWdOZq4JkAKMascs6XHmlBKF4T98moSumXONcW4uFB/9mQAnY64e2P518cqBrgNJtt9L4mDm3/ilFQkqhKduQy1Q3MQedbbeTtgKZaEORkqovN76X0WeqwJpRR1ARBWriXyalzc58l5DCsOCAMzmlIzmaO7QETfj4r0U08GWKRQtNzPo3TsokeDl6jmg2gNxdDLmijKhihVqpJSviGblvXCuL4TB1l/eXYQedbbeTu/ZCyUlMPZLPRYU0opVjHukefGue/pjj+iiVBUBwGg8KkWXaepzzPkcNaFn2cd4nsvJPLVkvD/TEWsHi1TeyuJyZyMMl5YTKgh0kM9p59SM9xpX1K9pcwtCdlBmCLPercauc0ZdLv8TDZrFek5frpVqt0A+zlAN4JNsU9mm2hx27jSeYddQSWQTrwSetYlnnXA27336g6TmuMhbdYqY5lC/HLaepKc23gL28eFzm2iQZu18gakJ0d4GDJhTZhxJ5qNHhHexrfQdMYq4wZPaYZLgHp+Lid93S6gfWx0RorND4xhOAW4Gnl4juFZ0fzt+6HrPClqPwKBwbAGCGr3A+8jVpuwajBQILtk0fmh4IfWMhwD+1/WA+4f6iNYiv+0QDbJqjPqD/zYe4ZzrIjKTWwhoJculL4C2SKrzuBu8A/nMLwAlPaFwPqEOyH25nQWyA716Iw08RpPZYYPYHkspB/vxZI12K5tBbJBPTqDQbsl7J76xmBYAc/yCOXXs58UMJeuR2dEHbM8hRk+gbAWj8frD6AvdT0WLafIqjNYxG9F7c2SDIYTYEmtVLDQPs8oPz5gkIeC0SiAbHOLhyEXQEro7XdV/wOVU2QMEqw9oQAAAZZ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+JiN4MjVCMzs8L21pPjxtaT5BPC9taT48bWk+QjwvbWk+PG1pPkM8L21pPjxtbz4sPC9tbz48bW8+KDwvbW8+PG1pPmE8L21pPjxtbz4rPC9tbz48bWk+YjwvbWk+PG1vPis8L21vPjxtaT5jPC9taT48bW8+KTwvbW8+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1pPnRhbjwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWZyYWM+PG1pPkE8L21pPjxtbj4yPC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWk+dGFuPC9taT48bW8+JiN4MjA2MTs8L21vPjxtZnJhYz48bWk+QjwvbWk+PG1uPjI8L21uPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48bW8+PTwvbW8+PC9tYXRoPiOmrEMAAAAASUVORK5CYII=)
Maths-General
Maths-
Let f : [-10, 10] →R, where f(x) = sin x +
be an odd function. Then set of values of parameter a is/are
Let f : [-10, 10] →R, where f(x) = sin x +
be an odd function. Then set of values of parameter a is/are
Maths-General
physics-
Light wave enters from medium 1 to medium 2. Its velocity in 2nd medium is double from 1st. For total internal reflection the angle of incidence must be greater than
Light wave enters from medium 1 to medium 2. Its velocity in 2nd medium is double from 1st. For total internal reflection the angle of incidence must be greater than
physics-General
maths-
If the function
f(x) dt → 5 as |x| → I, then the value of ‘a’ so that the equation 2x +
f(t) dt = a has at least two roots of opposite signs in (-1, 1) is
If the function
f(x) dt → 5 as |x| → I, then the value of ‘a’ so that the equation 2x +
f(t) dt = a has at least two roots of opposite signs in (-1, 1) is
maths-General
Maths-
In ![straight triangle A B C comma fraction numerator a left parenthesis cos invisible function application B plus cos invisible function application C right parenthesis over denominator 2 left parenthesis b plus c right parenthesis end fraction equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL4AAAAnCAYAAACxHfIWAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAZpE86XgAABe5JREFUeNrtXH9kV1EUvyaZzEgymYxJksxIZiaJJMlMJDNJRpIkGUkmyUiSpH+SSX9kTCaZRDIzSSSTTKI/+iPJSCZfyfh2j32e3e7Oe/fet/d9733rfDi29773/bj3nXvuOedz71VKkITTWq5JM+SKa2h3QUHo0PJKmqEQvET7Cwpq/M6C3+GXlkUtn7V80vJEy6Z/oG3btVzXMqulgvpd1bIev+/UMiMqmD86ofhFYgsUwwQpx/06b9shLZNadmtpwLnNWs5ZdZtBBxDkCLJGZwp+hz4tD61zh5lzHKolbdcLWu55lj0r8VW2ICtzRcs3Lb9hVdusMs9gkWz0aJmGC0LD8zHr90Na5nBf+tsbM8xPYYivJijpZSiKiQdaDmSs+HnVaSvctTWe79Wt5YWoa3agYfY2/EnqBOOwriYWtKxl3J95lG3AhzStbxc+7A4c78Bxt3WfNzHKY2PceBY9exTugMpQ8fOs042A91do/wVR12zQD4WyrehB69wic+0jDL9xeATraFvLx9a5ihHEJeGjYT1/elr6UMXPs05ziFtC8FtUNhtMMdZqmnF1OMUn69OccG9ulOCsVh8C536HO/bTuMc+tZRa3Zqg6C5RBdapAa6UEsUvBhUjk2ArmOuDu6xoNeDjNSHIm4tR5i7Gvx1A0J2lxc+rTmncFnF1MsQ8E9i9Zco9x2/2tVlYRxMXY57fD5/exLGAjEg1oD3yqhMZmHUB30qC2wzxRUujcTwMP9YGl8685+EP9zIuwITDpeGsJwXfJ6xzow73KI3i51knev+hgG91JmCEEzhABNBdfJw2ZDCexmQ7bAKLUnaU7juM61stq7wLGY/tOO7AcU/C+wwi7rAxYQSzG7UcUUtp17UZK36edaL2/o4RIQqEGxEsjyKOMVEogbUPQcneVdzDlcLypeVdNLcvLiGzM4yG/6ZWpjMVgskOpkO8xvvOMtaQPuIHWLz3MfeNgs1FdDqurt+NctQ+Y1DKWiCvOilkdR7AVaLyPzCq2Fm1QqcskAV4B+V/ZwWFvjiKBluT0BA+tLwvzZ0GG2POyyS14lDoJLXzaonhVPg7FHj9enSY5zFWIvIXXbR8CM2dNU4poc3zBo3qJ4t6+AakpaIofB2ONwTc4y6CseNa7sSUcdHyoTS3QLAqkNIOWOf6cd43FTWJ/1ugvBxctHwozS34P5GWwHNmNEJ8L7LOb+CDR6C87jamrIuWT0NzCwSZBxY+89QvM/HAiFq5nMxFy6eludNYA5H6kJrBx52JfHcO2xTP2u1RS2lKEy5aXihrQS6ujm8AS79TPreR+W0m4cF2WtOHlg+luQWCYFD+/LxnWXJlrljnKAV1K+EaImFMosKHlg+luQWCIBArOqv8SaoGlG/HMTF1lLNvSrhm0OoYPrR8CM09hpGlr06/QZm3Mvlnt/x4nDLYiCYrjauVCxZstCKLE8GXlveluetZ8euBJZYtP0qMMaZDFIUedNAFtby2dyBBqbitTCoq3VSRWkC2/CgpOhF0l4XlnUa8Erl/2xW/SikuRbwF7mOZIFt+lBDkJrWU/B3bGGWO28qkDyPYapB17lu2/BCkhk3KxW1lQkQgTaGm7NlXXDelwnZSC1X8JnTEL3DPJtTf075lVZQgFboZt4Zb3hclDGiO0wW1vBXKzcBRoBqo9EQ+EsvejHcaspIWQioKgkFp2Ndq5eqlxZjyH9XyyqcIzYGKF6L45MLc9ignOx8IvEEWm1LG+5nfOMUn616J6TwLDkVPQ93T8+aV32o2UXyBF9qh9HGzTDlXp0vx61ZDfWxfi09ra31SleLqCLxAk/Zo7lHSfCNuKxNKeXJLKmlKyXANFP+gSt45QYJbgTdaEKC6eAUuncnNYyJrS6nQWmR1KDf/waOcbPkhcGJS8YtvbHAE1gSC22guUivOnQh8h5DglpjlEXRUCqLPMSOREFgCL6XzDTDtrUxoy5NeKH+07Uet5yDRirlpPI9GlkFmVJApC4JMIZPUBP8tyryVSaFbftQCfwAqalHyhxJ7rAAAAXJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+JiN4MjVCMzs8L21pPjxtaT5BPC9taT48bWk+QjwvbWk+PG1pPkM8L21pPjxtbz4sPC9tbz48bWZyYWM+PG1yb3c+PG1pPmE8L21pPjxtbz4oPC9tbz48bWk+Y29zPC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT5CPC9taT48bW8+KzwvbW8+PG1pPmNvczwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWk+QzwvbWk+PG1vPik8L21vPjwvbXJvdz48bXJvdz48bW4+MjwvbW4+PG1vPig8L21vPjxtaT5iPC9taT48bW8+KzwvbW8+PG1pPmM8L21pPjxtbz4pPC9tbz48L21yb3c+PC9tZnJhYz48bW8+PTwvbW8+PC9tYXRoPhbtTe4AAAAASUVORK5CYII=)
In ![straight triangle A B C comma fraction numerator a left parenthesis cos invisible function application B plus cos invisible function application C right parenthesis over denominator 2 left parenthesis b plus c right parenthesis end fraction equals](data:image/png;base64,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)
Maths-General
chemistry-
On Bohr’s stationary orbits -
On Bohr’s stationary orbits -
chemistry-General
chemistry-
For a valid Bohr orbit, its cicumfrence should be -
For a valid Bohr orbit, its cicumfrence should be -
chemistry-General
chemistry-
Arrange the following particles in increasing order of values of e/m ratio: Electron (e), proton (p), neutron (n) and α-particle (α) -
Arrange the following particles in increasing order of values of e/m ratio: Electron (e), proton (p), neutron (n) and α-particle (α) -
chemistry-General
Maths-
In ![straight triangle A B C comma open parentheses fraction numerator b minus c over denominator a end fraction close parentheses sin invisible function application open parentheses fraction numerator B plus C over denominator 2 end fraction close parentheses equals](data:image/png;base64,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)
In ![straight triangle A B C comma open parentheses fraction numerator b minus c over denominator a end fraction close parentheses sin invisible function application open parentheses fraction numerator B plus C over denominator 2 end fraction close parentheses equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANYAAAAnCAYAAABzLbaSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAZpE86XgAABpFJREFUeNrtXX9kXlcYPuITE1EqpqYiRFTVVJiZqJoSM1HzGVURM1Oq+ldUiaiaT42pmYkpMVFVFaKqKvrPTETVjKmKiSkz+yOmykxMRIRv52mfa7d398c5995z7jn3uw+v9ju59zv3vOe+z33f97z3fEL0Fi5K+dbTa1/g9Tdo4BROSnkqpeXp9eO6N6S83xBUQ1SuYEDK71LGFY7dkdLn6Dje5jgGPSGoXSn7Uv6Q8puUB1LeMnhto1Ku8/p22O81KQcdJypvAeXeUDhujMp2nWmveUBQY7zBo/Nw09C1XZaySsMPiHFYymxKny4Qlbd4U8rfUg4rHNuWsuz4eMD42xyXqwQV6PJOpO3jmLY4dDWva07Kdx4Slde4IuW24rGf8/iOlD/pyqwZdl8G6b5sSdmTci/BdQljScpVhwkq0OVcpO2WlA9LNqwjdDPzxs5VEpXX2KR7oIIVTtIcb264FF8bfIrBqJ5I+ULKASn9dGlOZ5x3QsqvDhNUoMs2dThOMphVPFfHsL7S+F6XiMprgM1eaBz/TMqxSNsBMpoJfElXJA+eSznqKEEFuuxS/lF8UuUxrE3Gc0VQBVF5jc8UfXpBZt2JaX8jw7C6CpLU3wsFty8Jdzg+Fwmqj8Yk+BSelPIjv6dsHe6WNEbbROU14NNfUDz2PcZTUUxI+cHAtb0r5VGB889xfK4RVKDLqM5mGEuW+cTqL9GbsElU3gPp1ynFY6dFfFr2kiH/e4qJiryAa/XQQYIKdLkUaftEqGfudFxBPBkHShijTaLyHnBfVLM9CzGMBUbEupaJrOA7Bf36QU33zBZBJelyiQZXtmHhey+XMEabROU9dKoo7jHgnuTnw2wz6R5gARUZwRaTJLMMpIvEhFUTVKDLIFmB885wrP0GDGtEyl9S5kPxKuLi0zS6SQeJ6uVFITg8VeA7slKhqmUvOuUqeSYIwetHNK599tM2rF9UBqyzvw26IzrY0zy+a4GgBG/0IOmA+V0W6utfeTBGN26bfWK97a7mU9YaUfVxsif5b576ubOc/FaKQlTKXvKUqxS5kXxB15Jh1V2PeYkqFxC0d/j/Tg4/9iAN8vsU5lcpeylSrtIYll/91F6fQ+LVwluQbRng5yGN71hksPqpSH7FIKvspWi5Si8ZFlzlNbozSWs/3YTPZ6jnXbqmw41hmQGMYibSNs12FUzQdQMOcdLikFX2UrRcpZcM62fGiDr66NKorjMJIJisWW8M63/teRawXwNu8McJf0P78YzzW5zkMOuhHi5uVTur7KVouUovGdaOyK7iiDOsUzGx9V5jWOUjzXjSjC7s3kXjMaSUL8ZMYFrZSxnlKl2Fv7suquNrc26mNQ2ryHE+6VFXn6VCxd1bTJm8o3w6RYG3NB9E2rLKXsooV+m15MUgEz2bIr4uz5RhNa5gClQTFPj7L+LVIlwUj1I6jqbdVcpeipar9GpWcD6B4BrDquB+wfrRJcVj4ep1Im3npXyTcg4WCcMLdiplL0XLVXrVsOLipMawKrhfkKp9KtQXgft4/Cg/o1JiQ6TvHXAuYngqZS865SrLVEy7MayXul5rDKt6w7qfMxAMqrNXRPZbryhpeRb6rFr2olquEmdY+zW/EfZi4gCM+aGILwtrDKu3PZzciLqbLm9lVhQtYa8I1xZBnSBpbpM04MHMVERUDYhxJlXCCZItkf8NXdeBJJKtamxbBLXOGDsIKbBNQtYSgo9E5RXgRh6KtK0Kvb0W8gI3HZI5z0NMO2K4zylh7/2hKglqRNjZ69EmUXkPVL7beN0aBrwg/tvZaUWYf+XkvDC3+aWoiKCSsGuhD5tE5T2wLnbbcB/TNKQwbgm9d4HyxpO29mi4KarbD2JCZFf7+EZU3uMI3TOTWOPkR2MF064g3BZbuwrZIKg4YGnlJ6H+VrUvRFULbMTc+CYD+3ANpCmgcNbmPng2CCoKuNVYBvrAUn82iaoWQOXGkuEJCQPs+sTwmPD0mK8ZQYUxSqMas9SfbaKqBZDt0dlzXBdb4vW6SWyVdtfgeIb5RByyrEfTBBUATw3Uiw5YHFsVRFUL4FUWUz+UhhrLRbqAiKuwrYDJ7BJuuk4NCQrAcgkSQTZ/HLAqoqoFwH54i/m4oe+/whviKp9eiEdMpNuxCF7l7zmZJChgtYI4pyqiqg0Q+9j6qVQTPwkTbB56skIdmiaoQq++e0hUtQHWKm54eu14Ulxw4DpsEpRJuEBUDRrUhqCsENW/SORQPeicX9IAAAGHdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPiYjeDI1QjM7PC9taT48bWk+QTwvbWk+PG1pPkI8L21pPjxtaT5DPC9taT48bW8+LDwvbW8+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1mcmFjPjxtcm93PjxtaT5iPC9taT48bW8+JiN4MjIxMjs8L21vPjxtaT5jPC9taT48L21yb3c+PG1pPmE8L21pPjwvbWZyYWM+PC9tZmVuY2VkPjxtaT5zaW48L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1mcmFjPjxtcm93PjxtaT5CPC9taT48bW8+KzwvbW8+PG1pPkM8L21pPjwvbXJvdz48bW4+MjwvbW4+PC9tZnJhYz48L21mZW5jZWQ+PG1vPj08L21vPjwvbWF0aD7aKQH1AAAAAElFTkSuQmCC)
Maths-General
physics-
An antenna behaves as resonant circuit only when its length is
An antenna behaves as resonant circuit only when its length is
physics-General
Maths-
If ![A equals 60 to the power of ring operator text then the value of end text open parentheses 1 plus a over c plus b over c close parentheses open parentheses 1 plus c over b minus a over b close parentheses equals](data:image/png;base64,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)
If ![A equals 60 to the power of ring operator text then the value of end text open parentheses 1 plus a over c plus b over c close parentheses open parentheses 1 plus c over b minus a over b close parentheses equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZYAAAAmCAYAAADnRb1XAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAACKVJREFUeNrtnXGEVVkcx4+MMTJirKwxVqyVrGRJMkZWJFkjWZJkJUPSHytZsjKStaQ/kpEYK0nGkDVWMv+sJMkaMpIkkayVjFgZY+R5vD1f73d3bmfOfXPvfffce86d74cf8+7c+97vft9953fO7/zuuUoRQtJyWts1ylAIE6IntQ9Df0KIA/Zoe6qth1JYWda2IcP+0PGZtm+pfSVk0Z8Q4oCN2t5o+4ZSWPlKGqmsbBdd+6l9JaTRnxDiiF+0XacMiRzSNp3z2AnRl9pXw1r6E0IcsFnbB21DnvmFtNNFbQvaGqqdKtpSkS8XtJ0Xf95p+6jtgbbBFMdin0XRORTtI9DTv6ztrXwHM9oGArseOulPCHEEGszbHvp1T3qbA9Ko3JGRQxXgs19rOxfz50qGUcwNbeMBaR8FlXltv2rbpK1X20/aRgO8HpL0J4Q44oVqTx77xFFpOOLc0vZdRf680va1sW2T9ITTMKLtZSDaR1yShrwO10OS/oQQB2zV9t5Dv5BmGja2PVTVpMLQO162bO/LEFgAUjjbAtA+Ouf3qrq0l4vrwdSfEOKIE9qmPPTLLO3F30sV+bJbGjYTNHT3M7zPlOjtu/Zgl7ZHNbseTP1JwjB1UewS5SA5QTrhlId+mT15pDLmK/IFaZiblu1nVba8/Zjo7bv2ACmmmZpdD6b+xBJUHqt2tcOg9CwYXEge7qnq5i06gSqkvthrNOC/V+TLhKWni4nsZypdVVjEAW2zAWgPdiq/5iSKuB5M/YnBknFBR+V0hOTpCfpYhon7DiZVO+WBPPpUhY0Ceu6YvN8nr4dkW9a0Sr/R8/ZV+wiU86IiDHewo1DhjIwUQr0e+lWJc1pnSvgM5CvvSOOP+ve7avUyA/jicJPUnNikbCsjsLQ8vrh99s13H9FDQ4lss4OPaZYp2So9xKcl+39efjfj0lvF5GsV5cb43IMSXJqiQx4/zCIAn7UHX6j2BHlTRmdjFV/P3V4PSUUYhXNEtW+0cbk+z0kJJFtjAeSYWj0xdl8u3ohRlTwxaKbCHqt0qbB/PW4YffYt1MDyt1pdIpvH99tyHVd9nnW4wa0RqPY+srlL/Z0wIFH4T4e9IPyon6TY77Cy14tfVe2Jw6TgsiSWdn6l5XHD6LNvoQaWVsG+twLXxrfrfD1pv26ugUlptI8rd0tVT3YIDHEwCbXfsn2vKm7CsmWYTWxMJP6l2um6hzIUNsH5/CP73FSfTqjF3+uwpGE6vVfZvsVBRYlZ0z5iSTlgFDknPZ1Xyp5jbnURJLP4HB/NvhCfXhgj3TSaMrAwsDCwOAD15/fk78+lAczSKLdS/nBRVZGmagRpoF7LdmxbKGlUgPzpbKyxPSENeJzdck5o1DfIEP2K5b0QVLC+0JYO71WFb3GwNMVFYxtGjeeMbVNqJZ2Ez31eYGDJ6nN0DK7X7fJ6u7we5oiFgYWBpas2ME8b/z+YT3li9HhtvdciQC8UcyuoIFmWHiY++5ixX7PDezRKEtW8UWuD5bNnLCOwd5b32pvivarwLc6QpUOB/b/scEzSeeQNLFl9jka3o5YRzB8MLAwsDCzVaXJBeqtxUFJ32tFJzEsap0caphFJqZxOGVg+lhRY+lLsvyQjvDiLXaSByvbNBHdT75K/UaU3l1PDvIElj8+LltFtb8JxVQSWbnp+rZzmky9ZrvM6aB+y/oWxTdnv1kSjcteBQIvKvhw2HujzNvZ6ISEV1ldiKkylbDDXOncXgaUo30xOqpWiCcyHnbXsM65WykxbBQeWIn8YjS4aI45YOGJhKqyLgPWow0Euyo5nVXKdesNIbxyw7LNfFXu3cbeNN+aCNhb8GWX6ZjIgAT5acM8sCECwOWyMmIoMLHl89n3EwsDCwLKuUmHonV7t8P9pVfzyCkh3HUkYOcXTLt9r+82yH6qEjhboTyMh0KVtCOHPWM4vruWBbzYwN3FJ2RfcS9tYm9ualnOZKMhndDTMKjCUy88wsDCwMLCUqwkqs3DPSqfnHo+tEXjygJ7kQ3nvaDS0W3zZZ+yLfP8Z2Q/HnVdrV1Jl5WlCoErbeOO536/VSmk0qr5uFRRYyvDNBj4T81g/Wv73MtbwI6WJZSXeqdXpTdMXfG/HY37dkQ5GET7vkmOiSrUd8nok54+IgYWBhYElJ/hhr/XUMzQWrxycyGYZjSxJTxaNzp6EtMwNaeSWJQ3TX7AvqNZaUN3Ni6Bheyzn8tzSe84bWMrwzUaP6G0rC0ejPS+jqTnpFESPRu3kS7QUBo7D6gnDBfs8KkGvIccc6uJHlHdSmJQTWKh9/ToXhNSeJiUolUZA2qdZyyw0fxq8BAlZf41HnYlGxyFojzTts5r5Y+pPCHEEquIGKEMpfKY+XbbdZ+2RXp2umT+m/oQQR2BpowOe+4i5xsvSECOVMVNhg9yNL6g6nQ1Ee9xIjgIizCmiYAVzvygwGgzYH1N/QogjUPLs83PA0ZCjgAKrY+CRE6iYxMoZowH6clJ9+ohjn7VHwROqDc9J4ETK7kqFo5gi/DH1J4Q44gfVfuaHr+Aeo4ma+DJtBBKftUeFrPksHwTTxYD9mfa8E0VIbcAiqQue+hatiDBQE19w/LYAtE960mJfRYGlKH9M/QkhDkG1zbCHfuEen0c18QX3ab0MRHvcr/XAsh1+3g/UnyT9CSGOwDzBDQ/9wmTrTE18Qcrr50C0x2oUtrkILNI6Hqg/SfoTQhyBMswPyr4Sd5Xs9KiX2Y0vWIlhSXQOQXvMI5lzEb0yuhoM0J9O+hNCHIJyzmse+oU15FCFhZvbMFmL9fRGAvMFSzpdDEh7jMwwWR6tZzgk204E6s9a+hNCHIHl+1HOucMzv6J115rSQx0LzBc8e+mN6rzun2/ao6DgoFp5DhEC6qFA/UmjPyHEISPyo+2hFIUQpWv2UHvv9SeEOAQ3kV2nDIWA9NYpah+M/pn4DwlYfBGtqa1dAAAB33RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5BPC9taT48bW8+PTwvbW8+PG1zdXA+PG1uPjYwPC9tbj48bW8+JiN4MjIxODs8L21vPjwvbXN1cD48bXRleHQ+JiN4QTA7dGhlbiB0aGUgdmFsdWUgb2YmI3hBMDs8L210ZXh0PjxtZmVuY2VkIHNlcGFyYXRvcnM9InwiPjxtcm93Pjxtbj4xPC9tbj48bW8+KzwvbW8+PG1mcmFjPjxtaT5hPC9taT48bWk+YzwvbWk+PC9tZnJhYz48bW8+KzwvbW8+PG1mcmFjPjxtaT5iPC9taT48bWk+YzwvbWk+PC9tZnJhYz48L21yb3c+PC9tZmVuY2VkPjxtZmVuY2VkIHNlcGFyYXRvcnM9InwiPjxtcm93Pjxtbj4xPC9tbj48bW8+KzwvbW8+PG1mcmFjPjxtaT5jPC9taT48bWk+YjwvbWk+PC9tZnJhYz48bW8+JiN4MjIxMjs8L21vPjxtZnJhYz48bWk+YTwvbWk+PG1pPmI8L21pPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48bW8+PTwvbW8+PC9tYXRoPkl7PzwAAAAASUVORK5CYII=)
Maths-General
physics-
In the adjoining diagram, a wavefront AB, moving in air is incident on a plane glass surface XY. Its position CD after refraction through a glass slab is shown also along with the normals drawn at A and D. The refractive index of glass with respect to air (
) will be equal to
![](data:image/png;base64,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)
In the adjoining diagram, a wavefront AB, moving in air is incident on a plane glass surface XY. Its position CD after refraction through a glass slab is shown also along with the normals drawn at A and D. The refractive index of glass with respect to air (
) will be equal to
![](data:image/png;base64,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)
physics-General
chemistry-
Which statement is not correct for n=5,m=2:
Which statement is not correct for n=5,m=2:
chemistry-General