Recently Active Mathematics Questions

for |x| < 1 1 + 3x + 6x2 + 10x3............. = ? ...

f(x)=x3 +ax2 +bx+c has 3 distinct real roots and (x2 +2x+2)3+ a(x2+2x+2)2 +b(x2+2x+2)+c has no real roots. what are a,b&c?? what is the root of f'(x)??? ...

Prove that if the equation ax2+ bx+ c= 0 has real roots then b2≥4ac Prove this in as many ways you can. nishant sir,i hope u wnt mind me posting qns ;) @ Beginners: If u think this is useless , u will surely miss some thing ...

I felt this qsn was nice on sequences....I liked it.... Let \left\{t_n \right\} define a sequence of reals, such that sum of every 5 terms is positive, while sum of every 9 terms is negative. Find the maximum number of terms ...

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ZENO's paradox A man standing in a room can not walk to the wall. In order to do so, he would have to go half the distance, then half the remaining distance, and then again half of what shall remains. This process can always ...

I n how many ways is it possible to arrange 2n persons of different height in two ranks of n persons each so that in each rank they stand according to height and, besides, so that each man in the first rank is taller than the ...

find number of maxima and minima of the function whose graph has been drawn *Image* my answer : 1 local minima vote with explanation please.. ...

2x+2| x |≥ 2 2 plz also give me detailed explanation of answer........ ...

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if f(x) = [sin x + cos x] where 0< x < 2∩ [.] = greatest integer function no. of points of discontinuity is ans =5 how to go about??? if we draw the graph using ∩/4 as a unit and get the points of discontinuity is t ...

find all positive integers n for which n! + 5 is a perfect cube. ...

f(x+y)=f(x)+f(y)....... then show f (x)=xf(1)........for all x..... i got it 4 integer and rational....but how to proove it 4 real?? ...

if 1,w w2 are cube roots of unity,then the value of(1+w2-w)(1-w2+w) ...

let m and n be positive integers such that lcm(m,n) + gcd(m,n) = m+n. then prove one of the number is divisible by the other. ...

How do you decide if or not a fraction is terminating? ...

b^2x^2+a^2y^2=a^2b^2 ...

lim tan2x [ 2sin2x + 3sin x - 4 - sin2x + 6sinx + 2 ] x→∩/2 ...

prove that every integer can be expressed in this form and also for a partical integer there exists unique values of a and b n=1/2(a+b-1)(a+b-2) +a my sol i solved it involes something related to consecutive numbers and remai ...

1. Maximum no. of real solutions for the equation axn+x2+bx+c = 0 , where a,b,c ε R and n is even positive no : a) 2 b) 3 c) 4 d) None 2. The graphs y = 2x3-4x+2 and y = x3+2x-1 intersect exactly at 3 distinct points, then t ...

IN A TRIANGLE ABC, ALTITUDE FROM C ON AB AT F MEASURES 8 UNITS AND AB EQUALS 6 UNITS. IF M AND P ARE THE MID POINTS OF AF AND BC. FIND THE LENGTH OF PM. ...

the problems goes like that.. Teacher: Find number of non-negative integer solutions to the equation x1+ x2 + x3 + ....+ x100 = 10 Student: It's just the co - efficient of x10 in the (1 + x + x3+...)100 = (1-x)-100 Teacher: G ...

A simple combi problem which suppossedly has multiple answers ? Find the number of ways of arranging 5 distingushable balls into 3 distinguishable (differnet) boexes such that each contains at least one ball. My logic (it loo ...

Q. If α,β are the roots of quadratic equationnn ax2+bx+c, then find the equation whose roots are (α2-β2)(α3-β3) and α2β3+α3β2 ? ...

IN A RIGHT TRIANGLE ACB, RIGHT ANGLED AT C ANGLE BISECTORS OF A AND B MEET BC AND AC AT P AND Q RESPECTIIVELY. M AND N ARE FEET OF PERPENDICULARS FROM P AND Q ON AB. FIND ANGLE MCN. ...

1) Solution of inequality 2|x+1| > x+4 contains which interval? 2) If R is a relation from a finite set A having m elements to a finite set B having n elements, then find the number of relations from A to B.(with proof) Fu ...

\textrm{Let }f:\mathbb{N}\rightarrow \mathbb{N} \textrm{be a function such that }f(n+1)>f(n) ; f(f(n))=3n\textrm{ for all n} \textrm{Evaluate }f(2001) ...

x[y]=y[x] find x and y given that x≠y and x,y > 0 plz solve this mathematically ...