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The normal at the point (3, 4) on a circle cuts the circle at the point ( –1, –2). Then the equation of the circle is ...
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If a circle, whose centre is (–1, 1) touches the straight line x + 2y + 12 = 0, then the coordinates of the point of contact are ...
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Number of structural isomers of {C_4}{H_{10}}O are ...
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The equilibrium constant for the reaction; {{N}_{2}}left( g ight)+{{O}_{2}}(g) ightleftharpoons 2NO(g) at temperature T is 4 imes {{10}^{-4}}. The value of {{K}_{c}} for the reaction. at the same temperature is: ...
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For a car taking a turn on a horizontal surface, let N1 and N2Â be the normal reactions of the road on the inner and outer wheels respectively. ...
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If sinalpha+sineta=x and cos alpha+cos eta=y, then sin (alpha+eta)= ...
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[underset{x o 0}{mathop{lim }},{{(1-ax)}^{frac{1}{x}}}=] ...
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In order that the function [f(x)={{(x+1)}^{cot ,x}}] is continuous at [x=0], [f(0)] must be defined as ...
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If [frac{log x}{b-c}=frac{log y}{c-a}=frac{log z}{a-b},] then which of the following is true ...
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The value of [{{log }_{2}}.{{log }_{3}}....{{log }_{100}}{{100}^{{{99}^{{{98}^{{{.}^{{{.}^{{{.2}^{1}}}}}}}}}}}}] is ...
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[{{log }_{7}}{{log }_{7}}sqrt{7(sqrt{7sqrt{7}})}=] ...
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A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time the stone is at its lowest position and has a speed u. The magnitude of the cha ...
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Two particles A and B initially at rest move towards each other under a mutual force of attraction. The speed of centre of mass at the instant when the speed of A is v and the speed of B is 2v is : ...
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Which one of the following IUPAC names is incorrect? ...
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The IUPAC name of the compound *Image* ...
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The correct IUPAC name of the compound *Image* ...
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The distribution of speeds for helium atoms at different temperatures is given below: The relation between the temperatures is: ...
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In the equilibrium CH3COOH + HF [C{{H}_{3}}COOH_{2}^{+}] + F– ...
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The conjugate acid of HPO42– is ...
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Arrange the groups [C{{H}_{3}}-,,C{{H}_{3}}C{{H}_{2}}-,,{{(C{{H}_{3}})}_{2}}CH-] and [{{(C{{H}_{3}})}_{3}}C-] in order of electron-releasing effect ...
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Basic strength of [CHequiv overset{Theta }{mathop{C}},] (I), [C{{H}_{2}}=overset{Theta ,,,,}{mathop{CH}},] (II) and [C{{H}_{3}}overset{Theta ,,,,,,,}{mathop{C{{H}_{2}}}},] (III) will be in order ...
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The correct order of increasing C - O bond length of, CO, CO32-, CO2 is ...
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The hybridization of carbon in carbocations, carbon free radical, carbanions are respectively: ...
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Strongest bond is formed by the head on overlapping of : ...
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How many of the below given statements are correct: (i) Constant a is a measure of force of attraction between gas molecules and frac{{{n}^{2}}a}{{{V}^{2}}} is also called internal pressure. (ii) A is expressed in atm {{L} ...
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Which of the following statements are correct for butadiene [overset{4,,,,,,,,}{mathop{C{{H}_{2}}}},=overset{3,,,,,}{mathop{CH}},-overset{2,,,,}{mathop{CH}},=overset{1,,,,,,,}{mathop{C{{H}_{2}}}},] ...
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Equal mass of methane and oxygen are mixed in an empty container at {{25}^{0}}C . The fraction of the total pressure exerted by oxygen is ...
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*Image* Sir, I could not do those. Pls. help ...
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*Image* ...