Recently Active Mathematics Questions

*Image* *Image* ...

help me out!.. the number f positive integral solutions of x4- y4 = 3789108 ...

if the sequence {an} ,satisfies the recurrence , an+1 = 3an -2an-1 for n>=2 a0 = 2 a1 = 3 Find a2007 ...

lim x→0 (sin x - tanx )2 + ( 1 - cos 2x )4 + x5/7 tan7 x + sin6 x + 2 .sin5 x i try expanding the numerator by substituting 2sin2x in place of ( 1 - cos 2x ).....am getting stuck after this.... ...

*Image* ...

let x,y,z be complex numbers such that x + y+ z=2 x2 +y2+z2=3 xyz= 4 Find the value of *Image* ...

solve for x and y: x + y = 11 y + x = 7 ...

Let f(x) = x135 + x125 - x115 + x5 + 1. If f(x) is divided by x3 - x, then the remainder is some function of x say g(x). Find the value of g(10). ...

lim x→∞ x/ x+ x+ x ...

find the range of- [x2] - [x]2 ...

is finding areas related to the WITCH OF AGNESI curve in course for JEE?? ...

Roll 3 fair, six-sided dice, and let their sum equal X. Roll 2 fair, six-sided dice, and let their sum equal Y. Find the probability that Y > X. (Src.. Grissom) I dont seem to be able to think of a sleek solution.. (sleek ...

If a and b are positive numbers and each of the quations x2+ax+2b = 0 and x2+2bx+a = 0 has real roots, then the smallest possible value of (a+b) is 1. 3 2. 4 3. 5 4. 6 ...

number of possible ordered pair (s) (a,b) for each of which the equality a(cos x - 1) + b2 = cos(ax+b2) - 1 holds true for all x belonging to R are 1. 0 2. 1 3. 2 d. infinite ...

*Image* ...

Assume that p is a real number. In order for x+3p+1 - x =1 to have real solutions it is necessary that 1. p≥1/4 2. p≥-1/4 c. p≥1/3 4. p≥-1/3 ...

is principle of inclusion and exclusion in course for JEE?? ...

In triangle ABC the coordinates of the vertex A are (4,-1) and the lines x-y-1=0 and 2x -y = 3 are internal bisectors of angles B and C then , radius of incircle of triangle ABC is ...

The set of values of 'a' for which the equations cos2x + a sin x = 2a-7 posses a solution is 1. (-∞,2) 2. [2.6] 3. (6, ∞) 4. (-∞, ∞) ...

If cosecA+secA=cosecB+secB,prove that tanAtanB= cot(A+B)/2 . ...

If x be the real number such that x3+4x = 8 then the value of the expression x7 + 64x2 is 1. 124 2. 125 3. 128 4. 132 ...

If tan θ/2 = √1-e/√1+e tan α/2 ,then cos α=? Plz show the steps also along with the solution.... ...

if x2- 2cos∂ x +1 = 0 and y2 - 2 cos∞ y + 1 = 0 then 2cos(∂+∞) is equal to ...

[p1.Let a function f be defined on positive integers by the setting: f(m,n)={ f(m-n,n),if m>=n; m,if m<n } COLUMN-1 COLUMN-2 A>f(32009,4)= p)2 B>f(22010,25)= q)0 c>f(52010,7)= r)3 d>f(163+173+183 +193) s)1 h ...

Evaluate: \int_{0}^{\infty}{e^{-\alpha^2\left(x^2+\frac{\beta^2}{x^2} \right)}}dx You may use: \int_{0}^{\infty}{e^{-x^2}dx}=\frac{\sqrt{\pi}}{2} ...

1002004008016032 has a prime factor p>250000. Find it. Source(David A Santos) Hint: (a^3-b^3)(a^3+b^3) Even though I have put it in the class ix - x level.. it needs a bit of application which is not generally known at ix- ...

Find the area enclosed by: |x+y-1|+|2x+y+1|=1 ...

What is the sum of the roots of the equation (x+1) = 2log2(2x + 3) - 2log4(1980 - 2-x)?? ...

If total number of runs scored in n matches is ( n+1/4 )(2n+1-n-2) where n.1, and the runs scored in the kth match are given by k(2n+1-k), wher 1≤k≤n. Find n. ...

The eqn x2+bx+c = 0 has distinct roots. It 2 is subtracted from each root, the results are reciprocal of the original roots. Then what is the value of (b2+c2+bc) ?? ...