Recently Active Mathematics Questions

Let f(x+y)=f(x).f(y) for all real values of x & y.f(5)=2, \frac{\partial (0)}{\partial x} =3. then \frac{\partial (5)}{\partial x} =? a.6 b.3 c.5 d.1 ...

3 fair special dice whose face numbers are -3,-2,-1,0,1,2, are rolled .Find probablty that sum of digits on faces is 3 ...

[we're 2005 while writing] According to a legend there is a monster that awakes every now and then to swallow everyone who is solving this problem, and then falls back asleep for as many years as the sum of the digits of that ...

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At what values of m does the integral ∫20 1-cosx dx/xm converge? ...

Find the roots of the equation x4+x3-4x2+x+1=0 Hint: Think of (x+1/x) ...

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Is it possible to construct a continuous and differentiable curve in the cartesian plane such that both the co- ordinates can never be simultaneously rational ? take 0 < x,y <1 ...

An+1=(An+(a/An))/2 , where A1>0,a>0. Find Limn→∞An ...

if f(x) belogs [1,2] when x belongs R and for a fixd positive real no P. f(x+p)=1+ 2f(x) -f(x)^2. prove that f(x) is periodic. ...

*Image* 1.1.4 and 5 ...

prove for all integral n, 2n >= 1 + n.2(n-1)/2 ...

1) The value of lim x→ ∞ (x+2) tan -1 (x+2) - (x tan -1 x) is (a) pie/2 (b) does not exists (c) pie/4 (d) none of these 2) Show that the value of lim n → ∞ (1 / n3) ( [ 12x + 12] + [ 22x+22] + .....................+ [ ...

The number of natural numbers less than 2.104 which can be formed with digits 1,2,3 only are ? ...

If tan5x + tanx + 1 = 0, find the value of tan x + cosesc2x ...

Ques1) Solve the integral *Image* ...

Determine all functions (from R → R) \boxed{xf(x+xy)=xf(x)+f(x^2)f(y)} FOR ALL REALS X,Y..... ...

*Image* anyone finding the area....pls upload a graph too... ...

∫[tan-1x] from -10 to 10 []→ denotes gratest intiger funtion ...

Is it possible to number the 8 vertices of a cube from 1 to 8 in such a way that the value of the sum on every edge is different? ...

If a ,b and c are unit vectors,then show that 0≤ \left|\vec{a}-\vec{b} \right|^{2}+\left|\vec{b}-\vec{c} \right|^{2}+\left|\vec{c}-\vec{a} \right|^{2}\leq 9 \left|\vec{a}-\vec{b} \right|^{2}+\left|\vec{b}-\vec{c} \right|^{2 ...

Ques1) A triangle with sides 5,12 and 13 has both inscribed and circumscribed circles. The distance b/w the centres of these circles is (a)2 (b) 5/2 (c) 65 (d) 65/2 Ques2) Given A(0,0) , ABCD is a rhombus of side 5 units wher ...

If a,b are the roots of x2+px+1=0 and c,d are the roots of x2+qx+1=0 then show that q2-p2=(a-c)(b-c)(a+d)(b+d) ...

Suppose the complex number z satisfies the equation 11z^{10}+10iz^9+10iz-11=0 Prove that |z|=1 . ...

At what point does the function f(x)=(ax+b)/(cx+d) has no maxima or minima ...

In a triangle ABC , find the least value of, cot A/2 * cot B/2 * cot C/2 * cos A/2 * cos B/2 * cos C/2 ...

lim (11+a1/x+(a+1)1/x+...+(a+n-2)1/x)x x→0 a>2 and nεN ...

Q1 Let n and m be any two 3 digit numbers .Find total number of pairs of n and m so that n and m can be added without carrying Q2Let n and m be any two 3 digit numbers .Find total number of pairs of n and m so that n can be s ...

Let f(x) = 2007^{x}/(2007^{x}+\sqrt{2007}) then the sum f(1/2007) +f(2/2007)+.............................f(2006/2007)=? a.1004 b.1003 c.1003.5 d.1004.5 ...

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