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q1)fna and gna exist and are not equal for some n . Further if f(a)g(x) - f(a) - g(a)f(x) +g(a) =4 g(x) - f(x) then value of n is: ans is 4 how?? lim ( 1+24+34+........n4 - lim 1+23+33+........n3 ) n→∞ n 5 Q2)expansion of ...
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Q1)lim (x+2)tan-1(x+2) - x tan-1x (x→ ∞) Q2) lim ((1.5)n+ [(1+0.0001)10000]n)1/n (x→ ∞) Here[ ] is Greatest Integer Function (GIF) n Q3) lim Σ log( 1 +K/n)1/n (n→∞) k=1 Thnx in advance ...
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along line y=x-1 is: Q2)lim(x→ ∞ ) [aoxm + a1xm-1 + a2xm-2 + ....+am-1x+am] [b0xn+ b1xn-1 + b2xn-2 + ...+bn-1 x +bn ] when a0b0 >0 is infinity when a0b0 <0 is - infinity Can someone pls explain how??? Q3)lim (x → ...
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Find solution/s to : (x)[x]=1. here ( ) is Least Integer Function. [ ]=Greatest Integer Function ...
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Q1) How many real solutions of the following equation are possible:6x2+77[x]+147=0 where [x] is Greatest Integer Function of x . ...
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Q1) How many real solutions of the following equation are possible: 6x2+77[x]+147=0 where [x] is GIF. q2) If {x} and [x] are fractional and integral part of a real no. x ,then solve [2x]-[x+1]=2x. ...
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q1)Why does -C6H5 have - I effect even though it has delocalized electrons q2) why does vinyl cation have - I effect even though it has a doublr bond.Pls explain ...
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what should be the value of p for the eqn (cos p -1)x2+(cosp)x+sinp=0 to have real roots ans is(-pi , 0) how come? shouldnt it be(0, pi) ...
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Can someone pls explain this .If possible with examples If af(x)>b (1)then if b>0 1)we have f(x)>logab if a>1 2)f(x)<logab if 0<a<1 (2)for a=1 , b<1 ...
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Q1)A particle having charge 2=10^-4 C is placed directly below and at a separation of 10cm from a bob of simple pendulum at rest.The mass of the bob is 100g.What charge should the bob be given so that the string becomes loose ...
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why does field of electric dipole have a cylindrical symmetry.also explain w.r.t eqn of field on equatorial axis kp/[(r2+a2]3/2. what does this statement then mean:because of the cylindrical symmetry for the two charge system ...
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1)a simple pendulum consists of a small sphere of mass m , has length l, carries chargeQ. It is placed in a uniform electric field E directed vertically upwards.will it execute SHH?What is its time period of oscillation.Pls e ...
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Q1)For detection of hydrogen and carbon in compounds why do we take Cuo three times the weight of the organic compound? Q2)What decides how many parts of compound are to be reacted with how many parts of reagent. Q3)the given ...
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1)What is the difference between phenanthrene and anthracene?Their structures are quite similar 2)why are double bonds are stronger and shorter than single bonds? 3)Is the bond angle in methyl anion 109.5.?If so why is it dif ...
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when we say the confition for a number k to be greater than both the roots of ax2+bx+c (whether a is less or greater than 0), one of the conditions is af(k)>0. Why do we multiply a with f(k) and why not simply check whethe ...
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Q1)Solve: 4x - 3(x-1/2)= 3(x-1/2)-2(2x-1) Q2)If (1-p)is the root of quadratic equation x2+px+(1-p)=0.the the roots are?? Q3)Inthe proof of common roots it is given for eq1:aα2+bα+c=0 eq2:a'α2+b'α+c'=0 by cross multiplying ...
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Q1)Solve:(x+3)5-(x-1)5≥244. Q2)Find all real a such that 5a2-3a-2, a2+a-2 and 2a2+a-1 are the lengths of sides of Triangle. ...
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1)what do we mean by reversible electrodes.For example we say the quinhydrone electrode is reversible wrt H+ ions. why. 2)what is the use of metal-metal's insoluble salt-salt anion solution? 3)what happens in this cell and wh ...
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why do we say that ax2+bx+c >0 when a>o and D<0 and ax2+bx+c <0 when a<0 and D<0 ...
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1)what is the solution of inequality|x+1/x| <4 2)the solution of 2x + 2|x| ≥ 2√2 is: ...
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what is the use of first slit(barrier slit) in YDSE? ...
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If A ≡(3,4) and B is a variable point on the line |x|=6.If AB≤ 4 then the no. of positions of B with integral co-ordinates is: a)5 b)10 c)12 d)6 ...
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hello guys! I am preparing for IIT JEE'11. I am a bit confused about whether to take test series or not?If yes, which offer ONLINE TEST?Can we still register or all registrations closed? ...
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Why does the characteristic spectrum(they occupy the peaks) have more relative intensity than Continous spectrum?Secondly why does Kalpha occupy a higher peak than Kbeta whereas the energy gap in the latter case is more? ...
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What do we mean by phase difference regd waves?When I see the diagram of two waves with phase difff of pi, the crest of one is shown over trough of other, then i wonder what wud be the diagram for phase diff of 2pi and why it ...
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What are the conditions for TIR on second surface of prism.It is said that A>2C.what if A=2C.Pls explain ...
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For what values of x, the rate of change of x4/4+(x3/3 )- x is more than x4 /4?? ...
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Q2)When we shift the graph of(x) through a towards left, we transform f(x) to f(x-a).Say funct be y=x.If I change it to y=(x-1). first f(2)=2, f(3)=3 f(4)=4.Now (3)=2 f(4)=3 f(2)=1.this means initially, 2 was the value for 2 ...
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While measuring the focal length of combination of two lenses, the image formed by lens 1 behaves as virtual object for lens 2.The final image shud have formed behind lens1 but it is formed in front of lens 2.Pls Explain??? ...
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what is fractional abundance in terms of isotopes while calculating atomic wt.? ...