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*Image* ...
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The number of matrices which we can from using 10 distinct real numbers is ______ ...
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\text{For x} >0,lim_{x\to 0}\left(\left(sinx\right)^{\frac{1}{x}}+\left(\frac{1}{x}\right)^{sinx}\right) \ is ...
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lim_{x\to0}\frac{(1+tan^{-1}3x)^{-3}-(1+sin^{-1}3x)^{-3}}{(1+sin^{-1}2x)^{-2}-(1+tan^{-1}2x)^{-2}} ...
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Which of the following reagents can be used to distinguish chlorobenzene from chloro cyclohexane a)AgNO3/C2H5OH b)Ag(NH3)2OH c)Na fusion,HNO3,AgNO3 d)Br2/CCl4 ...
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*Image* ...
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If θ1 and θ2 be the angles which the lines (x2+y2)(cos2 θ sin2α+ sin2θ)= (x tanθ - y sinθ)2 make with the x axis and θ= π/6 , then what is the value of (tan θ1+ tan θ2) ? answer:(-8/3 cosec 2α) ...
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1 gram of commercial AgNO3 is dissolved in 50 ml water.It is treated with 50 ml of KI solution.The silver iodide thus precipitated is filtered off.The excess KI in the filtrate is titrated with M/10 KIO3 solution in presence ...
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2 different non parallel lines meet the circle |z|=r in the points a,b and c,d respectively,Then the point of intersection of the lines z=(a-1+b-1-c-1-d-1)/(a-1b-1-c-1d-1) Is the above statement true or false??? Edit:non para ...
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Find the last 2 digits of 2999 ...
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\int \frac{arc tan(e^{x})}{e^x}dx ...
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*Image* ...
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\int \frac{1}{1+x^{2n}}dx ...
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*Image* ...
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*Image* ...
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Find the number of 2-subsets of the set {1,2,.....10} , sum of whose elements is divisible by 3. ...
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\text{The number of prime numbers among the numbers 105!+2 , 105!+3, 105!+4,....105!+104 and 105!+105 , is} ...
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*Image* ...
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*Image* This question is quite easy,but i have a confusion in finding out which is the major product and which is minor! THANKS IN ADVANCE!!! ...
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At the banquet of a large conference 'n' people hang their coats on the coat-rack as they enter.At the end of the night,they leave in a drunken stupor,each one randomly putting on a coat without checking that it's ...
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Values of 'x' satisfying x2logx=10x2 are ...
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If a,b,c,d are the roots of the equation x4+P1x2+P2x2+P3x+P4=0 then (1+a2)(1+b2)(1+c2)(1+d2)= *Image* *Image* *Image* ...
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*Image* *Image* ...
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5.2g of a limestone was dissolved in dilute HCl and the solution was made up to 1 dm3. 25cm3 of this solution was treated with ammonium oxalate. The resulting ppt. of calcium oxalate was titrated against 0.111N KMnO4 in acidi ...
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The smaller area enclosed by y=f(x),where f(x) is a polynomial of least degree satisfying *Image* *Image* and the circle x2+y2=2 above the x-axis is *Image* ...
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If A(z1),B(z2),C(z3) are the vertices of an equilateral triangle in the argand plane,then *Image* is _____ ...
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A vertical pole consists of two portions,the lower being 1/3rd of the whole.If the upper portion subtends an angle arctan(1/2) at a point in a horizontal plane through the foot of the plane and distance 40ft from it,then the ...
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*Image* (where {.} denotes fractional part and [.] denotes greatest integer function ) is equal to _________ ...
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Application Number ******* has been received at JEE Office. It is incomplete or deficient in the following respect is Nil What does the darkened sentence mean???Is there any problem with the application form?& ...
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A bag contains n white balls & n red balls.Pairs of balls are drawn without replacement until the bag is empty.Find the probability that each pair consists of one white ball & one red ball. ...
