- 
			
			Show that : sin5x+cos5x+sin4x≤2 for all values of x, ... 
- 
			
			1+ 2+ 3+ 4+.......∞ how to evaluate dis?? ... 
- 
			
			1+ 2+ 3+ 4+.......∞ how to evaluate dis?? ... 
- 
			
			1+ 2+ 3+ 4+.......∞ how to evaluate dis?? ... 
- 
			
			Today is the day when our beloved mentor Anant Sir a.k.a kaymant was born.. May God bless him with all happiness on this day! Happy Birthday Sir! [1] ... 
- 
			
			$\textbf{Find no. of integral values of $\mathbf{a}$ such that\\\\ $\mathbf{\sqrt{9-a^2+2ax-x^2}>\sqrt{16-x^2}$}}$\\\\ $\textbf{for atleast one positive Real value of $\mathbf{x}$}.$ ... 
- 
			
			If w ( ≠1) is cube root of unity satisfying 1/a+w + 1/b+w + 1/c+w = 2w2 and ,1/a+w2 + 1/b+w2 + 1/c+w2 = 2w then the value of 1/a+1 + 1/b+1 + 1/c+1 is ? ans 2 ... 
- 
			
			$\textbf{Find no. of integral values of $\mathbf{a}$ such that\\\\ $\mathbf{\sqrt{9-a^2+2ax-x^2}>\sqrt{16-x^2}$}}$\\\\ $\textbf{for atleast one positive Real value of $\mathbf{x}$}.$ ... 
- 
			
			If w ( ≠1) is cube root of unity satisfying 1/a+w + 1/b+w + 1/c+w = 2w2 and ,1/a+w2 + 1/b+w2 + 1/c+w2 = 2w then the value of 1/a+1 + 1/b+1 + 1/c+1 is ? ans 2 ... 
- 
			
			If a charge q is placed at the centre of line joining two equal like charges Q,the system will be in equilibrium if q is a) -Q/2 b) -Q/4 c) +Q/2 d) +4Q Plz explain yur ans ...... ... 
- 
			
			12+22+32+..........+20032=2003*4007*334 1*2003+2.2002+3*2001+..........+2003*1=2003*334*x what is x? ... 
- 
			
			1. f(a-x) = f(a+x) and f(b-x) = f(b+x) for all Real x, where a and b are constants and a>b, then find the period. ?? My Ans: ?? I found 2(a-b), but a sir is saying it's not correct! ... 
- 
			
			1. \lim_{x\rightarrow 0^{-}} \frac{\sum_{r =1}^{2n+1}{[x^{r}]+(n+1)}}{1+[x]+|x|+2x} 2. \lim_{x\rightarrow 0} \left\{\lim_{n\rightarrow \infty } \left(\frac{[1 (sinx)^{x}]+[2^{2}(sinx)^{x}] + .....}{n^{3}} \right) \right\} ... 
- 
			
			*Image* ... 
- 
			
			*Image* ... 
- 
			
			I have doubt in this: *Image* ... 
- 
			
			in maths matrix ques, pls tell whats d mistake in this *Image* ... 
- 
			
			I have doubt in this: *Image* ... 
- 
			
			I have doubt in this: *Image* ... 
- 
			
			I have doubt in this: *Image* ... 
- 
			
			I have doubt in this: *Image* ... 
- 
			
			in maths matrix ques, pls tell whats d mistake in this *Image* ... 
- 
			
			$If $\alpha,\beta$ and $\gamma$ be the Roots of the equation $x^3+x-1=0$.Then Calculate\\\\ value of $\frac{\beta}{\alpha}+\frac{\gamma}{\beta}+\frac{\alpha}{\gamma}=$ ... 
- 
			
			$If $\alpha,\beta$ and $\gamma$ be the Roots of the equation $x^3+x-1=0$.Then Calculate\\\\ value of $\frac{\beta}{\alpha}+\frac{\gamma}{\beta}+\frac{\alpha}{\gamma}=$ ... 
- 
			
			For real x, the function (x-a)(x-b)/(x-c) will assume all real values provided a) a>b>c b) a<b<c c) a>c>b d) a<c<b ... 
- 
			
			For real x, the function (x-a)(x-b)/(x-c) will assume all real values provided a) a>b>c b) a<b<c c) a>c>b d) a<c<b ... 
- 
			
			*Image* ... 
- 
			
			If " N " be the number of natural numbers <2009 which can be expressed in the form of [x[x]] for some positive Real " x " then the sum of digits of " N " is - { where [.] is GIF } ... 
- 
			
			*Image* ... 
- 
			
			the number of straight lines that are equally inclined to the three dimensional co-ordinate axis ,is ...