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find the solution set for z given that, |z+a| + |z-a| = |a| where a = real number ...
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{sin x} = sin {y} ...
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Hello, Plz tell me what are the important topics in chemistry for iit jee.I am in 11th class and I am not very happy with my preparation in chemistry.Now,I feel that i should just concentrate on the important and scoring topi ...
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for a sufficiently large value of n the sum of the square roots of the first n positive integers i.e. √1 + √2 + .... √n is approximately equal to?? ...
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(1) \lim_{x \to \frac{\pi}{4}}\frac{\sqrt{1-\sqrt{sin2x}}}{(\pi-4x)}=$ ...
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Which of the following statements is correct if Standard reduction potentials of Cu and Sn are 0.337V and -0.136V resp. (both from +2 charge) a) Cu2+ ions can be reduced by H2(g) b) Cu can be oxidised by H+ c) Sn2+ ions can b ...
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An infinitely long conductor PQR is bent to form a right angle as shown in figure. A current I flows through PQR. The magnetic field due to current at the point M is H1. Now, another infinitely long straight conductor QS is c ...
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In the electrolysis of sulphuric acid, Why is OH- oxidised at the anode and not H2O ? Can someone tell me about their reduction potentials? ...
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1) \ f(x)\ is\ a\ polynomial\ of\ degree\ 4\ with\ real\ coefficients\ such \that\ f(x)\ =\ 0\ is\ satisfied\ by\ x\ = \1,2,3\ only\ , \ then\ f ' (1). f'(2). f'(3)\ is\ equals\ to \ \\\\\ (a)\ 0\ (b)\ 2\ (c)\ -1\ (d)\ none\ ...
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$Find value of $x$ that satisfy the equation $x^{\lfloor \ x\rfloor}=\frac{9}{2}$\\\\ Where $\lfloor x \rfloor $= G.I.F=greatest integer function. ...
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Find dy/dx at x=0, y=(2x+3)/(3x+4) ...
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it was found the the winding radius of a tape on a cassette was reduced by half in time t1 = 20. in what time will the winding radius will be reduced by half again? ...
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Let " a " and " b " be real numbers in the interval [ 0 , Î / 2 ] . Then for how many integral valued pairs of " a " and " b " must be there who satisfy .......... sin 6 ( a ) + 3 sin 2 ( a ) cos 2 ( b ) + cos 6 ( b ) = 1 Not ...
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$Determine The no. of real roots of the equation $(2^x+x-1).(x-3)=-2$ ...
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Yesterday on 26|12|10, there was a question in FTRE... If x2 - y2 = 101, where x and y are natural numbers. Then x2 + y2 =? There were few options... I don't remember well but, one of them was can't be determined.... What mus ...
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Prove that 1)Limx--->0 loge(1+x)/x = 1. 2)Limx-->0 ax-1/x = logea, a>0,a≠0. In the second one,its 'a' to the power 'x' minus 1 divided by 'x' to give log 'a' to the base 'e'. ...
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1.species having highest electron affinity: a)O b)F- c)Cl- d)O- ans given O,shudnt it be O-? adding more.. 2.if a+3b+2c=12,then max value of 6bc(1+a)+a(3b+2c) is a)112 b)115 c)102 d)92 ...
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Can two sources producing monochromatic lights of different wavelengths be coherent? Please provide a clear explanation. ...
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$Calculate value of $sec^2(\frac{\pi}{9})+sec^2(\frac{2\pi}{9})+sec^2(\frac{4\pi}{9})=$ ...
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2007 IIT-JEE question Q- A spherical portion has been removed from non-conducting solid sphere having charge uniformly distributed in its volume as shown in the figure.The electric field inside the emptied space is (A) zero e ...
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lim(n→∞) (Σi3)/n3 (where summation is from 1 to n) ...
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lim n→∞ (an + bn)(1/n) ...
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Since our exams are approaching fast , I have taken an initiative to post and solve problems that I have found to be quite intriguing . These are all from IIT - JEE syllabus , and I hope to create a field of mutual participat ...
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show that if a billiard ball is heated inside an ellipse from focus it will always pass along the major axis.(after a finite time) ...
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(2) $Calculate $\int\frac{(x^2-1)}{x.\sqrt{x^2+\alpha x+1}.\sqrt{x^2+\beta x+1}}dx$ ...
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CH3COCl + Nu- → CH3CONu +Cl- reactivity order of different nucleophiles towards this reaction is a. NH2- < CH3COO- < OH- b. CH3COO- < OH- < NH2- c. NH2- < OH- < CH3COO- d. CH3COO- < NH2- < OH- which ...
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1.a solid sphere,a hollow sphere and a disc all havin same mass and radius are placed at top of an incline and released such that friction coefficient is same for all and is not enough to allow pure rolling.least time to reac ...