Recently Active Mathematics Questions

If n positive integers are taken together and multiplied ,find the probablty that last digit is 2,4,6,8 ...

If a and b are chosen randomly from set containing {1,2,3,4,5,6} with replacement,find probablity so that \lim_{x\rightarrow 0}\frac{a^x-b^{\frac{x+2}{x}}}{2}=6 I couldnt understand why this limit was given. ...

If n is a odd integer greater than 3,but not a multiple of 3.Prove that x3+x2+x is a factor of (x+1)n-xn-1 ...

(1)The value of [(2009!+2006!) /(2008!+2007!)] here [.] denote greatest integer function. ans: (a) 2009 (b) 2008 (c) 2007 (d) 1 ...

Let P(x) be a polynoimial of degree n with real coefficients and is non negative for all real x,tehn prove that P(x)+P'(x)+...+Pnx is non negative for all x ...

Hello! The NSEA will be held soon and I wanted some sample questions. Please help. ...

A nice question from a book I downloaded today..and I have become an addict Given a circle of n lights, exactly one of which is initially on, it is permitted to change the state of a bulb provided one also changes the state o ...

""Not my doubt ,just a good question[1]"" In a n sided regular polygon the probablity that two diagonals chosen random will intersect inside the polygon is ??? ...

Please explain the following.....how it's working. Suppose a curve 3x2-y2-2x+4y=0 has all chords subtending a right angle at the origin. Let equation of chord be lx+my=1 To make the equation of the curve HOMOGENEOUS 3x2-y2-2( ...

A random point is unifomly distributed in a square of side length 1 unit. Q1 Find probablity thta distance of A from nearest side doesnt exceed x (x<1/ 2 ) Q2 Find probablity thta distance of A from centre does not exceed ...

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Given 1∫2 ex2 dx = a , Find the value of e∫e4 √(logex) dx . ...

Please explain the following.....how it's working. Suppose a curve 3x2-y2-2x+4y=0 has all chords subtending a right angle at the origin. Let equation of chord be lx+my=1 To make the equation of the curve HOMOGENEOUS 3x2-y2-2( ...

Find the number of ways in which a batsman can score 14 runs in 6 balls not scoring more than 4 runs in any ball Ans:19C5-614C5+159C5 ...

How many six digit numbers can be formed in decimal system in which every succeeding digit is greater than previous digit ? Ans:9C3 ...

Find the number of ordered pairs (m,n) (m,n ε {1,2,3..20})such that 3m+7n is a multiple of 10 ...

Show that the equation A2/x-a + B2/x-b +....+ H2/x-h =x+λ where A,B,C...a,b,c...λ are real numbers,cannot have complex roots. ...

Show that all the roots of equation zncosθ0+zn-1cosθ1+....+cosθn=2 where θ1,θ2...θn εR lies outside the circle lzl= 1/2 ...

x,y,z are positive real numbers satisfying x^3y+3 \le 4z y^3z+3 \le 4x z^3x+3 \le 4y Find (x,y,z) ...

There are n numbered seats around a round table.In how many ways can m(<n)persons sit around the table ? ...

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if /z/ = max{ /z-1/ , /z+1/ } then, 1./z+conjugatez/=1\2 2.z+ conj. z =1 3./z+conj.z /=1 4.none i got the answer to be b and c solution.... |z| = max{ /z-1/ , /z+1/ } or x2 +y2=max{(x-1)2 + y2 , (x+1)2+y2} so seeking the grap ...

After elections, each senator in the CaliMass Congress has an absolute rating (the number of voters for example - anyway a positive number). Each of these senators enters in a committee in which he obtains a relative rating. ...

Ques1) Solve ∫ √ (x-3 ) { Sin -1(ln x) + cos -1 (ln x) } dx (a) (x-3) 3/2 + c (b) 0 (c) does not exists (d)none of these Ques2) Show that , if n is an odd positive integer, then ∫ |x n | dx equals to (|x n| x ) / (n+1) ...

find locus of center of circle which touches (y-1)2+x2=1 externally and also touches X axis. if u're getting x2=4y and x=0,think again!!! ...

If a, b, c belongs to R satisfy 7a/3 + 3b/2 + c = 0, then atleast one root of the equation ax2+bx+c = 0 lies between a. (3, 4) b. (0,2) c. (3/2, 2) d. (1, 3/2) ...

{2} Find the coords of the Orthocentre of a triangle of sides x + y = 1 2x + 3y = 6 4x - y = 4 WITHOUT FINDING THE COORDS OF ITS VERTICES!!! {6}A line is such that its segment b/w the lines 5x - y - 4=0 & 3x + 4y - 4=0 is bis ...

f(x) is a continuous function, which is twice differentiable - function is from Reals to Reals. Given |f(x)|\le 1 for all real x & |f''(x)|\le 1 , again for all real x. Prove |f'(x)| <2 for all real x. ...

Find x+y if real numbers x,y satisfy x3-3x2+5x-17=0 and y3-3y2+9y+11=0 ...

If f(x) and g(x) are 2 polynomials such that polynomial h(x)=xf(x^3)+x^2g(x^6) is divisble by x^2+x+1 then find relation between f(1) and g(1) i got the answer f(1)=-g(1) but answer given is f(1)=±g(1) plz help ...