Recently Active Questions

1)If x2-y2-84y=2012,x,y belonging to N,find x-3y? 2)Let S={20,21,22,23,.....210).Consider all positive differences of elements of S.If M is the sum of all these differences,find the sum of the digits of M? ...

prove that [√(4n+1)]=[√n+√(n+1)] for n belonging to positive integers. [.]→ G.I.F ...

f(x) is a real valued function satisfying f(x-y)=f(x)f(y)-f(a-x)f(a+x) f(0)=1 then f(2a-x) is a) f(-x) b) f(x) c(-f(x) d f(a) +f(a-x) ...

Question of Ramanujan contest... ...

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nishant you say u had scored 99.98 percentile in cat 07. then y u didnt join iim???? ...

1) Show that [5x]+ [5y] is greater than or equal to [3x+y] + [3y+x] where x,y greater than or equal to 0.. ...

Are the subjective questions (in the rankers study material) really necessary for IIT JEE? Or, can i ignore it ? And is there any thing like this which can be ignored safely if i am preparing for IITJEE (and lower) only? ...

Find range of the following functions 1. y = sin2x+sinx-1/sin2x-sinx+2 2. y = (tan-1x)2 + 2/√(1+x2) ...

Any one Can you please give me a Table or a Chart of Marks Vs Ranks in WBJEE to have a idea on how much to score ? ...

Determine the largest number in the infinite sequence 1^1/1 , 2^1/2 , 3^1/3 , 4^1/4 , ............ n^1/n ...

here is a 3 x 3 square.... *Image* how many triangles can be formed with the dots being the three vertices of the triangle?? ...

f(x) is an invertible function and f(x)=xsin x ; g(x)=f -1(x). find the area bounded by y=f(x) and y=g(x). ...

The thermal conductivity of graphite along an axis in the plane of hexagonal rings is A)exactly the same as along axis perpendicular to this plane B)is less than along an axis perpendicular to this plane C)is more than along ...

1) [x2+2x] = [x]2+2[x] ....Find the real solution set of x. [.] Stands for G.I.F. (INMO 2009) ...

find the least value of x2cot9+y2cot27+z2cot63+w2cot81 if x+y+z+w=5 ...

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I could write questions here as it is time consuming. I wrote them here. Please help me. http://www.artofproblemsolving.com/Forum/viewtopic.php?f=330&t=458393 http://www.artofproblemsolving.com/Forum/viewtopic.php?f=330&t=458 ...

*Image* In above figure note the hybridization of Nitrogen and sulfur mentioned.... Do you find mistakes? *Image* Again, note hybridization of Nitrogen.... Don't you find any blunders? *Image* sp2 Hybridization for Nitrogen a ...

Find the value of \sqrt{7+\sqrt{7-\sqrt{7+\sqrt{7-....\propto }}}} ? my method... let \sqrt{7+\sqrt{7-\sqrt{7+\sqrt{7-....\propto }}}} =x and {\sqrt{7-\sqrt{7+\sqrt{7-....\propto }}}} =y now, x2=7+y and y2=7-x subtracting the ...

1,Prove for positive a,b,c (b≠1) , alogbc = clogba 2,In a small sweet shop people usually buy either one cake or one box of chocolate ,One day the shop sold 57 cakes and 36 boxes of chocolate,How many customers were there t ...

0<x,y<1 , Prove that x^{y}+y^{x} > 1 . ...

\hspace{-16}$Find real values of $\mathbf{x}$ in $\mathbf{x^2-(1+[x]).x+2011=0}$\\\\ Where $\mathbf{[\;.\;]=}$ Greatest Integer function. ...

\hspace{-16}$Find Complex no. $\mathbf{z}$ Which satisfy the equation \\\\ $\mathbf{\left|\frac{z-\bar{z}-i}{z+\bar{z}+2}\right|=\frac{\sqrt{2}}{2}}$ ...

\hspace{-16}$Prove that the equation $\mathbf{2x^{n+2}+1=3x}$ has one real root in $\mathbf{(0,1)}$ ...

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\hspace{-16}$If $\mathbf{f(x)=x^{n+8}-10x^{n+6}+2x^{n+4}-10x^{n+2}+x^n+x^3-10x+1}$\\\\ Then Find $\mathbf{f(\sqrt{2}+\sqrt{3})=}\;,$ Where $\mathbf{n\in\mathbb{Z^{+}}}$ ans = 1+ 2 - 3 ...

Note : The question is NOT incorrect A and B are 2 points 30 m apart in a line on the horizontal plane through the foot of a tower lying on opposite sides of the tower,If the distances of the tower from A and B are 20 m and 1 ...

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