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Is there any disrimination towards North indians in NIT-trichy,Warangal,surathkal,calicut ?? And are north indians made targets by college gangs in MNIT-allahabad,NIT bhopal ?? ...
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I have got 12k rank in AIEEE,280 marks in BITSAT q1 Which option should I choose ? q2 Will AIEEE and BITS cutoffs fall ? q3 Is MSc from BITS good ? ...
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q1 Total ionic strength of a solution of 0.5M MgSO4,0.1M AlCl3,0.2M (NH4)2SO4 q2 On cooling 50g of solute gets precipitated from 400g of a 20% solution by weight.What is percentage concentration of remaining solution q3 If ra ...
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Q18 The final product B in the following reaction CH3CH2CH = CH2 + NBS,hν + (C6H5CO2)2 → A + CH3SNa + CH3OH → B is a) Methyl 1-methylallyl sulphide b) Allyl methyl sulphide c) n-Butyl methyl sulphide d) Diallyl sulphide ...
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Q1 If tan-14=4tan-1x then x5-7x3+5x2+2x+9870 is equal to ? ...
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Find range of y given that y=2tan-1x+sin-1 2x/1+x2 ...
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If sinx=cosy, 6 siny=tanz,2sinz= 3 cosx ; u,v,w denote respectively sin2x,sin2y,sin2z,then value of triplet (u,v,w) is ? ...
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The number of pairs of (x,y) satisfying the equation sinx+siny=sin(x+y) and lxl+lyl=1 is ? ...
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The equation \int_{0}^{x}{(t^2-8t+13)dt}=xsin(a/x) has a solution if sin(a/6) is equal to ? ...
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Consider cosnx-sinnx=1,where n is a natural number and -π<x≤π Q1 When n is an even natural number,the sum of values of x satisfying the equation is ? Q2 When n is an odd natural number other than 1 ,the sum of values o ...
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Find the number of divisors of N=22335375 of the form 4n+2 Ans=95 ...
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Find the number of selections of n things from three piles,one consisting of n identical things of one type,second consisting of n identical things of second type and third consisting of n different things . ...
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There are 10 greeting cards each of different color and 10 different envelopes of the same colors.Find the number of ways in which cards can go to the envelopes such that 6 cards can go into envelopes of corresponding color ...
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The amplitude of wave is given by A=c/(a+b-c).Find values of a,b,c for which resonance will occur ...
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A uniform pressure P is exerted to all the sides of a solid cube at temperature T°C.By what amount should the temperature of the cube be raised in order to bring its volume back to the volume it had before pressure was appli ...
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If a gas is heated at constant pressure,the isothermal compressiblity a) remains constant b) increases linearly c) decreases linearly with temperature d) decreases inversely with temperature ...
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An organ pipe is sounded with a tuning fork of frequency 256Hz.When the air in the pipe is at temperature of 15°C,23 beats are heard in 10 seconds.When the tuning fork is loaded with a small piece of wax,the beat frequency i ...
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Reduce to simplest form tan^{-1}(\frac {xcos\theta}{1-xsin\theta})-cot^{-1}(\frac {cos\theta}{x-sin\theta}) ...
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If x=cosec(tan-1(cos(cot-1(sec(sin-1a))))) and y=sec(cot-1(sin(tan-1(cosec(cos-1a))))) where 0≤a≤1.Find relationship between x and y ...
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If Σsin-1x=π,then prove that x4+y4+z4+4x2y2z2=2(x2y2+y2z2+z2x2) ...
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Q1 If cos-1λ +cos-1μ +cos-1ν=3π then prove that λμ+μν+λν=3 Q2 If 2nΣi=1 sin-1xi=nπ then prove that 2nΣi=1xi=2n ...
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Calculate the product for n≥2 *Image* ...
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If α and β are roots of z +1/z=2(cosθ +isinθ) ,0<θ<π , show that l α-i l=l β-i l ...
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Let x1,x2,x3...xn be roots of equation xn+xn-1+.....+x+1=0 Compute the expression \frac{1}{x_1 -1}+\frac{1}{x_2 -1}+\frac{1}{x_3 -1}...+\frac{1}{x_n -1} Hence prove that \sum_{r=1}^{n}{cot \frac {r\pi}{n+1}} ...
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If lzl=1 ,prove that the points represented by \sqrt{\frac{1+z}{1-z}} lie on one or the other of two fixed perpendicular lines ...
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Prove that \left|\alpha +\sqrt {\alpha ^2 -\beta ^2} \right|+\left|\alpha -\sqrt {\alpha ^2 -\beta ^2} \right|=\left|\alpha +\beta \right|+\left|\alpha -\beta \right| where α,β are complex numbers ...
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If θ1 ε[0,π/6] ,i=1,2,3,4,5 and sinθ1 z4+sinθ2 z3+sinθ3 z2 +sinθ4 z +sinθ5=2,then prove that lzl<1/2 ...
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If z=i log(2- 3 ),then find cosz . ...
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\int _{0}^{(2n-1)\pi}[\sin x]dx;n\epsilon N Will this be done in same way as http://www.targetiit.com/iit-jee-forum/posts/find-the-value-11282.html ? :-) ...
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\int _{0}^{1}e^x(x-1)^ndx=16-6e;n\epsilon N,n\leq 5 ...
