Recently Active Mathematics Questions

*Image* *Image* If A − B = 0, then what is the sum of all the possible values of x? OPTIONS 1) - 20/3 2) - 9/7 3) 0 4) 1 5) None of these ...

Q1 Let S denote the set of all values of a for which 4^{x^2}+2(2a+1)2^{x^2}+4a^2-3>0 is satisfied for all reals.. I am getting ans as (-∞,-1) but ans is diff Q2 The number of integral solns of x(\frac{5-x}{x+1})(x+\frac{ ...

Hey guys , this maths musing problem (of MTG December issue ) is really great , please give it a try ---- NOT FOR THE GREAT SIRS Find the last digit of the sum of the roots of the eqn. ( 1/2 x - 1 )2009 = -1 , and also try th ...

This one was once asked (2yrs ago) by one of my friends.... Prove that among 39 sequential natural numbers there always is a number with the sum of its digits divisible by 11..... ...

mod (vector a) =a & mod(vector b ) =b ..................then prove that {(vector a)/a^2 - (vector b)/b^2}^2 = {( vector a - vector b)/ab}^2 ...

∫ dx/x+√x2-x+1 ...

sin4x+cos15x=1 tried this way.... => cos15x=1-sin4x => cos15x=(1+sin2x)(1-sin2x)=cos2x(1+sin2x)=cos2x(2-cos2x) => cos15x=2cos2x-cos4x koi chota soln hai kya kisi ke paas ?? ...

sin(ex).cos(ex)=2x-2+22-x ans is given inf soln....par mujhe lagta hai no soln becoz RHS≥2 and LHS≤0.5 ...

A man invites a party to (m+n) friends to dinner and places m at one round table and n at other.Find the no. of ways of arranging the guests . ...

A function f(x) = max.(sinx, cosx, 1-cosx) is not derivable for some x in [0, 2Ï€] which may lie in the interval....... A) [0,Ï€/2) B) [Ï€,3Ï€/2) C) [Ï€/2,Ï€) D) [3Ï€/2,2Ï€] (More than one options may be correct) ...

Question. If a,b,c,d are in H.P. ,then show that ab+bc+cd=3ad ...

Question...How is the sum of all arithmetic means between two given numbers related to the single arithmetic mean between those numbers. Show ur steps. Do not give the FORMULA directly. ...

P(x) be a polynomial of degree at most 5 which leaves -1 and 1 upon divison by (x-1)3 and (x+1)3 respectively then 1)no of real roots of p(x)=0 a)1 b)3 c)5 d)2 2)the maximum value of y=p"(x) can be obtained at x= a)-1/ 3 b)0 ...

the value of \int_{1}^{e}{} (1+x2logx)/(x+x2logx)dx is not giving the choices please verify the answer. ...

The equation \int_{0}^{x}{(t^2-8t+13)dt}=xsin(a/x) has a solution if sin(a/6) is equal to ? ...

let f(x)=x^{3}+x^{2}+100x+7sinx then the eq \frac{1}{y-f(1)}+ \frac{2}{y-f(2)}+ \frac{3}{y-f(3)}=0 has 1)exactly one root lying in (f(1),f(2)) 2)booth roots lying in (f(2),f(3)) 3)exactly one root lying in (-∞,f(1)) 4)exact ...

prove that soln of eqn kr+rxa=b where k is non zero scaalr and a and b are non collinear vectors..is of form r= 1/(k2+a2) ( a.b/k a+kb+axb) ...

if the squares of a 8x8 chess board are painted either red or black at random 1)the probability taht not all squares in any column are allternating in color 3)the probability that all the squares in any column are of same col ...

What is the sum of all the factors of factorial 30? ...

Consider cosnx-sinnx=1,where n is a natural number and -π<x≤π Q1 When n is an even natural number,the sum of values of x satisfying the equation is ? Q2 When n is an odd natural number other than 1 ,the sum of values o ...

. . . . Q1 Suppose 0.27 ,x ,0.72 are in GP.If x is a positive irrational no. and S is the sum of first four terms of such GP.Find S Q2 Let a_n=111....1 .Find no. of primes in sequence a2,a3,a4,a5,a6 n times Q3 Let Let a_n=111 ...

I din know under which way to post this... but this was a brilliant brilliant method to prove that sum of squares first n natural numbers is given by permutation and counting principle.. I am giving the hint here and I hope t ...

If ... \lim_{x \rightarrow \infty} \frac{ a \left(2x^3 -x^2 \right) +b \left(x^3+5x^2-1 \right) -c \left(3x^3+x^2 \right)}{a\left(5x^4-x \right)-bx^4 +c \left(4x^4+1 \right) +2x^2 + 5x} = 1 , then the value of (a+b+c) can be ...

Let z_i be in G.P for all i satisfying 1≤i≤n and 1st term is unity. Also z1+z2+z3+....zn=0 Now if z1,z2,z3....znrepresent vertices of a n-sided polygon, find the distance bet circum-centre and incentre of the polygon. P.S ...

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The coordinates of the point on the parabola y2 = 8x , which is at mininmum distance from circle x2 + (y-6)2 = 1 are (A) (2,-4) (B) (18,12) (C) (2,4) (D) none ...

ram has to attempt 4 papers each paper containing maximum 'n' marks in how many ways he can get a total of 2n marks ..... note: if u want to use multinomial theorem then also provide proof of multinomial thoerem :) ...

The no. of ways in which 9 identical balls can be placed in 3 identical boxes is __________________ . Ans : 12 Neways i'm posting a method which if you can understand .... explain to the Dark Knight so that I can confuse the ...

Q 1) \int\frac{x-1}{(x+1)\sqrt{x^{3}+x^{2}+x}}dx Q 2) \int{\left({\tan^{-1}\sqrt{(\sqrt x-1)}}\right)}dx Q 3) \int{(x^{1/3}+(\tan x)^{1/3})}dx Q 4) \int_{1}^{e}\frac{Inx}{x(\sqrt{1-Inx}+\sqrt{Inx+1})}dx Q 5) \int_{\frac{\pi } ...

(2) If Roots of the equation 2006x^{6}+100x^{5}+10x^{3}+x-2=0 are in the form of (m+\sqrt{n})/r where m and n are non zreo integer and n , r are relatively prime .find m+n+r ...