Recently Active Mathematics Questions

find all roots of x4+x3+x2+x+1=0 including complex roots. ...

Let ABC be a triangle in which angle A = 60 degrees. Let BE and CF be the bisectors of the angles B and C, with E on AC and F on AB. Let M be the reflection of A in the line EF. Prove that M lies on BC. How do I start? ...

Q)A parabola is drawn to pass through A & B, the ends of a diameter of a given circle of of radius 'a' and to have a directrix a tangent to a concentric circle of radius 'b' the axes being AB and a perpendicular diameter. Pro ...

Let f(x) =(x-1)p.(x-2)q where p,q>1. Each critical point of f(x) is a point of extremum when - (Options are given) I got the critical points as 1 and 2. I don't know what do I do next. I found the second derivative but I t ...

Ques- Find all complex numbers 'z' which satisfy: 4z^{2} + 8\left|z \right|^{2}=8 Ques- Find all complex numbers 'z' which satisfy z3 = conjugate of 'z' ...

1q) the value of arg(ilog(a-ib/a+ib)) where a,b are real no's is???? 2q)(mod)(Z- Z1+Z2/2)^2 +(MOD)(Z1-Z2/2)^2 =???? 3Q) if mod(Z-2+2i)=1 then least and greatest values of mod (z) are? ...

1. If 2u=5x and the harmonic mean of x is 0.4, What is the harmonic mean of u? 2. Statistics Sum If a variable 'x' takes the values 1,2,3,.....,k with F1,F2,,..... Fk as the corresponding more than type cumulative frequencies ...

1. If sin (log i i) = a+ib. Find a and b. 2. Find the area formed by z , -iz and z+iz. I solved it but I need the Geometrical Interpretation!! ...

$Q:$\Rightarrow$ Find no.of real roots of the Trigonometric equation\\ $sinx+2sin2x=3+sin3x$ in $x\epsilon[0,2\pi].$ ...

hey friends.... can u plz post some qstns asked in previous years GMO.... i cud nt get frm any site..... plzzzzzzzzzzz..... ...

1) If a,b,c,d > 1 P.T. 8(abcd+1) > (a+1)(b+1)(c+1)(d+1) 2) If a,b,c ≥ 0 and a+b+c =1 Find the max. value of \sqrt[ 3 ]{a+b} + \sqrt[ 3 ]{b+c} + \sqrt[ 3 ]{a+c} 3) For a,b,c > 0 Prove that x2 + y2/x+y + z2 + y2/z+y ...

1. x+1 - x-1 = 4x-1 has a. no soln b. 1 soln c. 2 soln d.more than 2 soln PLEASE SOLVE THE EQUATION 2. Let a,b,c,p,q be real nos.Suppose m,n are thw roots of the equation x2+2px+q=0 and m,1/n are the roots of ax2+2bx+c=0 wher ...

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1. The real numbers x satisfying √(x + 5)/(1+x) > 1 are precisely those which satisfy? (A) x < 1 (B) 0 < x < 1 (C) -5 < x < 1 (D) -1 < x < 1 2. Let P(X) = 1 + x + x2 + x3 + x4 + x5. What is the remai ...

Please explain range........with some moderate examples from the basics Thnk u Shubham ...

lim cos(pi√(n2 + n)) n→∞ ...

the funtn f:c-c defined by f(x)= ax+b/cx+d for x belgs c reduces 2 a constant funtion if a) a=c b) b=d c)ad=bc d)ab=cd ...

1) Find 1+2008 1+2009 1+2010 1+2011*2013 2) Find the +ve integers (x,y) which satisfies x2+y2+2xy-2008x-2008y-2009=0 3) an+1 = an + an-1 for n≥2 . a2 = -1 and a10 = 29. Find a1. 4) Find sum of the digits of the number 10002 ...

$Q:$\Rightarrow$ Find value of $x$ which Satisfy The equation [x[x]]=1$\\\\ $Where $[x]$ Denote Greatest Integer function. ...

1) Straight lines are drawn by jining 'm' points on a straght lne to 'n' points on another line. Excluding the given points(m+n), find the number of intersection points if no two drawn are parallel and no three are concurrent ...

Let S denote the set of all triples (i, j, k) of positive integers where i + j + k = 17. Compute : SUMMATION (x*y*z) , for all (i,j,k) belonging to set S ...

1) find all real number a for which the equation x2+(a-2)x+1 = 3|x| has exactly three real solutions in x ( i got a= 1,2,3 is it correct?) 2)if n is an integer greater than 7, prove that (n,7)-[n/7] is divisible by 7 here (n, ...

1) Find the number of positive integers n for which n≤1991 and 6 is a factor of (n2+3n+2) 2)determine all pairs (m,n) of positive integers for which 2m +3n is a perfects square 3)find the remainder when 1992 is divided by 9 ...

Find the equation of a circle which passes throught point (1,2) and touches the line y=x+3.The point (3,4) is inside the circle. ...

How do we find the next term in these series? I mean what is the logic behind every successive term? *Image* *Image* It is not an AP or GP. Please help ...

How do we find the next term in these series? I mean what is the logic behind every successive term? *Image* *Image* It is not an AP or GP. Please help ...

Kya aap tenth pass se tej hein? . Are u smarter than a tenth grade? check out.............!!!!!! Solve these easy tenth level questions. for everyone..... 1. If triangles ABC and ABM are similar then LA + LD = ? 2. The sum of ...

How many functions f : {1, 2, 3, 4, 5} to {1, 2, 3, 4, 5} satisfy f(f(x)) = f(x) for all x= {1, 2, 3, 4, 5} ? ...

1)find the number of quadratic polynomials ax2+bx +x,which satisfy the following conditions: a) a,b,c are distinct b) a,b,c, belongs to {1,2,3,...,1999) c)x+1 divides ax2+bx +x.. 2)let ABCD BE A QUADRILATERAL in which AB is p ...

the equation a + (a^2-2a-8)x = x^3 has only one real root? what is the possible range of a? ...