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Prove that if z1 and z2 are two complex numbers and c>0 , then |z1+z2|2 ≤ (1+c)|z1|2 + (1+c-1)|z2|2 ...
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A triangle with vertices at 3+i, i(1+ 3 ) , and i(1- 3 ) is rotated about its circumcentre through an angle of Î /3 in anticlockwise direction.Find the new positon of the vertices. Pls post the method and method to find circu ...
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1. An arc AC of a circle subtends a right angle at the centre O. The point B divides the arc in the ratio 1:2 . If and OB =b then find OC in terms of a and b. ...
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1. A bag contains "W" white and 3 black balls. Balls are drawn one by one without replacement till all the black balls are drawn. What is the probability that this procedure for drawing the balls will come to an end at the r ...
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*Image* Here it is the form of prism..and distance between DE and AH is neglibly small. 1.The direction of magnetic field at the geometric centre of three dimensional prism shaped coil will be 2. if an external magnetic field ...
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1.Remainder when 22003 is divided by 17.. 2.If n is a positive integer.. then value of \sum_{i=0}^{n}{(-1)^{n} } 10^{n} C^{2n}_{n} divided by 81^{n} ...
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Pls comment about the level of BT's home based simulator test series. Is it good enough for practise? or fiitjee's better? I have this yr and last yr's BT simulator test series and last yr's RTPF....which shd i practise? ...
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A. PHOTOELECTRIC EFFECT P. INDUCED REACTION B. NUCLEAR FISSION Q.SPONTANEOUS REACTION C. β-DECAY R.EXOGERIC(Q>0)REACTION D. NUCLEAR FUSION S. CHAIN REACTION T. INSTANTANEOUS REACTION ...
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A. PHOTOELECTRIC EFFECT P. INDUCED REACTION B. NUCLEAR FISSION Q.SPONTANEOUS REACTION C. β-DECAY R.EXOGERIC(Q>0)REACTION D. NUCLEAR FUSION S. CHAIN REACTION T. INSTANTANEOUS REACTION ...
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TMH iit jee for 2008: pg-21.16 , f(x)=sin(2x+1) f:R→[-1,1] domain is restricted to [-3Π/4 - 1/2 , -Π/2-1/2] In this case find onto or not? Can u pls explain with the help of graph? *Image* /hide] I think it is not onto .. ...
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I want the expansion of different expressions like 1/(1-x) sq. root of above then, √1-a2x2 etc.... if u hav good link for this kind of expansions, pls post here... ...
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f(x)=|x-x2| What is the maximum value of this fn? ans is 6 but i got as 1 ...
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For any real value of A and n ε N cos A.cos 2A. cos4A .cos 8A. .................... cos 2n-1A equals 1 -1 sin(2nA) /2n sin A 2 ...
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[x]+[2x]+[4x]+[8x]+[16x]+[32x]=12345 where[]-GIF ...
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Tangents at a point P1 (other than(0,0) on the curve y=x3 meets the curve again at P2. The tangents at P2 meets the curve at P3 and so on. Show that the abscissae of P1,P2, P3,.....Pn form a G.P. Also find the ratio of area o ...
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A. P-V diagram of a monoatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be 1. 3R/2 2. R/2 3. 2R 4. 3R B. For a gas , molar specific heat in a process is greater tha ...
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*Image* A plank of mass 4 kg is placed on a smooth horizontal surface. A block of mass 2 kg is placed on the plank and is being acted upon a horizontal force F=0.5t , where F is in Newton and t is in s. if the coefficient of ...
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The homogeneous semicylinder has of mass m and centre of gravity G. Determine the largest angle θ of the inclined plane upon which it rests so that it doesnot slip down the plane. The coefficient of the static friction betwe ...
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I am a student of TN gettin state rank in 300's (OP).....and i hope for instrumentation or civil in nit-t......according to last year . But iam getting not even getting metallurgy in nit-t.(using state quota). I gave ece , ee ...
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What can i expect in nit-t (i need atleast civil) with AIR-15125 gen categ rant-in 12k state rank in TN - 330 In genral categ - 244 ...
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One of my friend got AIR 5498 and (if he wants the tag of IIT), what can he get in IIT?? Note....In case of B.Tech or a Dual degree... Mostly he is likely to get dual degree i think so....if ur opinion is yes what can he get ...
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which do u think the best test series?? What abt resonance especially and abt any problems collection file(sumtin like y.g file if they have) orderpls...fiitjee, brilliant, resonance, bansal(postal one).. Pls discuss their fe ...
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Is it true that bits cutoff decrease year by year??(i heard bcoz of diff level increases) ...
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EML ranks will be available in this website shortly. http://www.jee.iitb.ac.in/extended1.htm So, we can get to know avg no of ppl in eml, and our chances in iist, iiser etc....... ...
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εIf P(n) = 2+ 4 + 6+....+ 2n, n N, then P(k) = k(k+1) + 2 => P(k+1) = (k+1)(k + 2) + 2 for all k belongs to N. So we can conclude that P(n) = n(n+1)+2 for a. all n belonging to N b.n>1 c.n>2 d. nothing can be said A ...
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The relation "congruence modulo m" on the set I of all integers is a.An equivalence b.A partial order relation c. reflexive and symmetric d.reflexive and anti symmetric Pls explain the Q and option B ...
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If the quadratic eqn ax2+bx+c=0 has -2 as one of its roots then ax + by +c =0 represents a. A family of concurrent lines b.A family of parallel lines c.A single line d. A lineperpendicular to x-axis I thought to be B But the ...
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The value of 2*a and 2*b such that (where a and b satisfies) Ltx-->0 x(1+acosx)-b sinx =1 ------------------------- x3 a. 5,3 b. 5,-3 c.-5,-3 d.NOT ...
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The value of Ltn->infinity(1/1.3 +1/3.5+....n terms) a. 1/4 b.1/2 c. 1 d. NOT ...
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The funtion f(x) = [x]2 - [x2] (where [] is GIF) is discontinuous at a.All integers b.All integers exvept 0 c.All integers except 1 d.All integers except 0 and 1 ...
