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solve sin-112x +sin-112√3x =sin-1(-1 ) ...
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N = 2p*3q ( p nd q are on power) p,q bolong to natural no. 100<N<1000 then find the diff. in max. n mini. value of (p+q) ...
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Have 2 check my answer... sin(3pi{x}) + tan(pi{x}) {x} is the fractional part of x. ...
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Solve. 1. log((9x-x2-14)/7)(sin3x-sinx)=log((9x-x2-14)/7)cos2x 2. 2cos2(pi4x)-sin(pi4x+1)+sin(pi4x+1/2)-2cos(pi4x+1/2)=0 ...
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∫(x+1)4/(x2+2x+3)3 dx ...
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if the line y-√3x-3=0 cuts the parabola y2=x+2 at A and B, and if P=(√3,0), then PA.PB is equal to …? a) 2(3^0.5 +2)/3 b) 4(3^0.5)/2 c) 4(2 - 3^0.5)/3 d) 4(3^0.5 + 2)/3 ...
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Let f :R →R be a function defined by f (x + y) = f (x) f ( y) for all x, y∈R. If f (x) is continuous at x = 0, show that f (x) is continuous for all x∈R ...
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Integrate: ∫dx/[x^2(1+x^4)^3] THIS IS A WRONG QUESTION GIVEN BY FIITJEE.... QUIT IT.... ...
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2^x= x2+1 i am getting two.... 0 and 1. ny other??? ...
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Find values of a and b for which the eqns have only 1 soln. 2|x|+|x|=y+x2+a x2+y2=1 ...
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Find the Integer N such that (N+1)2=(N)2+(N-1)2 ...
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This is sort of standard... but some ppl oftern miss it!!! How would you integrate ex cosx? I dont want integration by parts ...
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for tangent of y2=4ax, we finf dy/dx..... wat shud we find for x2=4ay??? dy/dx or dx/dy??? i think dy/dx... but plz confirm.....i suddenly had this confusion today!! ...
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∫ecos xsin(2x) ...
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integrate cos(logx) ...
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Integrate tanx + cotx ...
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There are n points in a plane such that the area of the tirangle formed by any three is less than 1. Find the "minimum" area in which all these n points are enclosed!!! This was asked to me in my ISI interview. *clarifi ...
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ii = ? ...
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a 5 letter word is to be prepared such that the letters appearing in the odd numbered positions are taken from the letters which appear without repitation in the word "MATHEMATICS" and letters appearing in the even po ...
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two mutually perpendicular chords OA and OB are drawn through the vertex O of a parabola y2=4ax. Then the locus of the circumcenter of the triangle OAB... i got the ans y2=2ax-2a2 is it wrong??? plz reply ...
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Can pi be teh root of a polynomial with integer coefficients?? Why why not? ...
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Could this problem be correct? if a,b,c,d and p are different real numbers such that (a2+ b2+c2)p2 -2(ab+bc+cd) p +(b2+c2+d2) ≤ 0 then a,b,c and d are in geometric progession ...
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2 frnds after a long time decided to meet at a particular coffee shop between 5:00 pm to 6:00 pm on a specified day.they also decided that the person whho comes earlier will not wait for the second person for more than 10mins ...
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How many ways can the letters of the word 'computer' be arranged so that vowels occupy the even positions? In how many ways can you put 9 coins of different values into 2 pockets my cousin in engg college give me th ...
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12+32+52+...........to n terms ...
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solve: 2sinx=|x| +a find a such that there is no real root! ...
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find the sum to n terms and the nth term 1+5+19+49+101+181+295+........ plese solve the prob in details.... ...
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I am not understanding these two subjects. I htink in my all prepartation this is my worst. How to improve. Pls help me. ...
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How do i solve summation questions?.. what is the good way to do it? ...
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y=√(x+√(x+√(x+√(x+........................ infinite times...)))) what is dy/dx? my one friend said it is easy. I dont understand :( ...