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let 'x' be positive non-square integers such that x1=2, x2=3, x3 = 5, x4=6 .. and so on... and we define <m> such that if the decimal part is <=0.5 we have <m> =m and if decimal part >0.5 , then <m>=m+ ...
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ANY USER OF TARGET IIT GAVE / INTERESTED IN GOING FOR B.ARCH ????????? annnyyyonnneeee ??????? ...
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1) define N=2n(2n+1 - 1) , nEN... such dat (2n+1-1) is a prime no. prove that:- i) the sum of the divisors of N are 2N. ii) the sum of the reciprocals of the divisors of N are 2. 2) find all continuous functions f : (0, infi) ...
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a particle experiences constant acceleration for 6 secs after starting fom rest. it travels d1 in first 2 secs it travels d2 in next 2 secs it travels d3 in last 2 secs then, d1:d2:d3 = ??? ...
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find out a four digit number M such that N=4xM and N has the following properties : i) it is also a four digit no. ii) the digits of N are in reverse order of those in M. ...
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\lim_{n->infinity} \frac{1}{2n}[log(2nCn)] ...
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a satellite is in a circular orbit very close to the surface of a planet. at some point it is given an impulse along its direction of motion, causing the vel to increase by μ times. it now moves in an elliptical orbit with t ...
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a balll of density Ï0 falls from rest from a point P onto the surface of a liquid of density Ï in time T. It enters the liquid, stops, moves up n returns to P in a total time 3T. Neglect the viscosity, surface tension and s ...
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*Image* the battery of volatge V=10 V .. three capacitors each of 3μF and 5 resistors each of 1Ω are aranged as shown in the fig. arrangement is left for long time so that steady state is reached. then: 1) charge on cap 1 2 ...
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1.) 0∫Πsin17xcos7x dx 2.) 0∫Π/2 sin8xcos8x dx 3.) 0∫Πsin3x cos6x dx. ...
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guys........... here's a notice... anyone interested in giving free online tests ... very relevant with iit-std.. log on to www.vidyadrishti.com the 4th test series have started and it will end on 2nd april... so hurrrrrrrryy ...
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-2∫3 x x2-1 dx ?? ...
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*Image* the conductor XY has negligible resistance. a) current will flow thru XY if ε1/R1 ≠ε2/R2 B) current will flow thru XY if ε1=ε2 C) current will never flow thru XY . d) current will always flow watever be the cond ...
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when CH3-CH2-CH-Cl2 is treated with NaNH2, the product formed is ? ...
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1) which of these can easily distinguish between 1-butyne and 2-butyne. a) Br, CCl4. b) H2, Lindlar catalyst c) dil H2SO4, HgSO4. d) ammoniacal CU2Cl2 solution. ...
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a spaceship orbits the earth at a constant speed along a circular path. when an astronaut inside the spaceship releases an object, it does not move away from him. which of the following is the most accurate reason for this? a ...
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hey guys! there is a very popular problem... but the thing is dat i for go the trick ... two masses m1 and m2.. and a massless pulley... as usual.. theya re moving wid some acceleration.. the thing is : let m1 be stopped for ...
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*Image* for the arrangemnet shown in thefigure, the spring is initially compressed by 3cm. when the spirng is released the block collides with the wall and rebounds to compress the spring again. q>> if the time starts a ...
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the coeff of x14 in the product (1-x)(1-2x)(1-22x)......(1-215x) is equal to, given that 1 + \frac{1}{2} + \frac{1}{2^{2}} + \frac{1}{2^{3}}.... + \frac{1}{2^{15}}= a and 1 + \frac{1}{2^{2}} + \frac{1}{2^{4}}.... + \frac{1}{2 ...
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1.) the molecularity of the reaction 2 H2(g) + O2(g) --> 2 H2O (l) is: a)2 b) 3 c)undefined d)1 2) the rate consant for a first order reaction is equal to the initial rate of reaction wheb the initial concentration of the ...
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*Image* two thin circular discs of mass 2kg and radius 10cm each are joined by a rigid massless rod of length 20cm. the axis of the rod is along the perpendicular to the plane of the disc through their centres. this object is ...
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a square matrix A is said to be an idempotent matrix if A2=A. now answer the following questions: 8.) if A is a non-singular idempotent matrix, then a) A=IN b) A=0 C) A+A'=0 D) none of these. [cont....] ...
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Paragraph for comprehension 7 to 9 The tangents at P and P’ on the parabola y^2 = 4ax meet in T. S is the focus, O is the vertex and SP, ST and SP’ are equal to , and respectively. The tangent at the point P(x1, y1) to th ...
