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\hspace{-16}$If $\bf{k\in \mathbb{R}}$ and $\bf{0\leq k\leq 56}$. Then no. of Real Solution of \\\\ $\bf{(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)=k(x^2-7x)+720}$ ...
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\hspace{-16}$Find The Greatest positive Integer $\bf{m}$ such that $\bf{2^m}$\\\\ divides $\bf{2011^{(2013^{2016}-1)}-1.}$ ...
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\hspace{-16}$If $\bf{x^4 + 8x^3 + 18x^2 + 8x + a=0}$ has a $\bf{4}$ Diff. $\bf{\mathbb{R}}$oots.\\\\ Then $\bf{\mathbb{R}}$ange of $\bf{a}$ is ...
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Q. A slightly conical wire of length L and end radii r1 and r2 is stretched by two forces F, F applied parallel to length in opposite directions and normal to end faces. If Y denotes the Young's modulus, then extension produc ...
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*Image* The I-V characteristics of a metal wire at two temperatures is shown, then a) T1>T2 b) T2>T1 c) T1=T2 d) The relation may vary ...
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In a series of games between team A and team B,they decide to play on till a team wins 5 matches .In how many ways can A win the series if no match ends in a draw? Please explain how you solved it! Answer is 126 ...
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\hspace{-16}$If $\bf{\begin{Vmatrix} \bold{x^3+2=3y}\\\\ \bold{y^3+2=3z}\\\\ \bold{z^3+2=2w} \\\\ \bold{w^3+2=3x} \end{Vmatrix}}$\\\\\\ Then no. of Real ordered pairs of $\bf{(x,y,z,w)}$ is ...
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Let S = \left\{(x,y): |||x|-2|-1|+|||y|-2|-1|=1 \right\} . If a wire is made out of S, then the length of such wire is? Source : FIITJEE PT II (P1) Q.1 (Maths) ...
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∫sin2(log x) dx also ∫ log x/(1 + log x)2 dx ...
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A 40 kg. mass hanging at the end of rope of length 'l' oscillates in a vertical plane with an angular amplitude 'x'. What is the tension in the rope , when it makes an angle 'y' with the vertical? If the breaking strength of ...
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A particle slides from the top down the outside smooth surface of a fixed sphere of radius 'R'. When the particle is at its highest position, what velocity in the horizontal direction should be imparted to it , so that it lea ...
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Q1. When we nitrate benzene using conc. HNO3 + conc. H2SO4 let the rate of reaction be R1. If we nitrate benzene but instead of protium we have deuterium atoms, let the rate be R2. (Assume that the substrate does NOT give muc ...
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Does kx depend on both temp. and pressure. (Here x denotes mole fraction) ...
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Two bobs of masses 6m and 10m are attached to the two ends of a light inextensible string which passes over a frictionless ring at O. The lighter bob describes a horizontal circle about the heavier bob(which remains stationar ...
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some good questions given in the sample paper of kvpy ...
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Hi all, get relevant and useful flash animations in physics at http://www.mksfoundation.com/flashlets.aspx and lot of other free stuff for JEE preparation at this site. ...
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Hi all, get relevant and useful flash animations in physics at http://www.mksfoundation.com/flashlets.aspx and lot of other free stuff for JEE preparation at this site. ...
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Hi all, get relevant and useful flash animations in physics at http://www.mksfoundation.com/flashlets.aspx and lot of other free stuff for JEE preparation at this site. ...
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Hi all, get relevant and useful flash animations in physics at http://www.mksfoundation.com/flashlets.aspx and lot of other free stuff for JEE preparation at this site. ...
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Hi all, get relevant and useful flash animations in physics at http://www.mksfoundation.com/flashlets.aspx and lot of other free stuff for JEE preparation at this site. ...
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Hi all, get relevant and useful flash animations in physics at http://www.mksfoundation.com/flashlets.aspx and lot of other free stuff for JEE preparation at this site. ...
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Hi all, get relevant and useful flash animations in physics at http://www.mksfoundation.com/flashlets.aspx and lot of other free stuff for JEE preparation at this site. ...
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10 v.s.d. =7 m.s.d i msd =1mm given that 7th v.s.d. coincides with 5 m.s.d.. find: i) l.c. ii) reading. (in the above ques. the l.c. is coming greater than the reading ..why is it happening so in the above case ?? ) ...
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*Image* getting totally confused ! plz help. ...
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a) suppose we tie a ball with a string and rotate it keeping its other end tied with one of our fingers then the only external force acting on it is the tension. Which force then cancells 'mg' acting vertically downward? b) i ...
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Intensity and exact wavelength of the lines in the spectrum of an element depends upon ? a) temperature b) Pressure c) Pressure of Electric Field,magnetic field and motion of source d) None e) All ...
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Sorry if this is silly, If sound travels faster in solids than in air then why on closing our ears we cannot hear the sound properly? ...
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a test tube is taken with a volume V filled with water upto brim . it is slowly turned such that (if we consider that the test tube is rotated at +ive x axis starting from the tip of the base of test tube) at a particular ang ...