Recently Active Questions

$\textbf{Solve for $\mathbf{x}$: }$\\\\ \mathbf{\sqrt{12-\frac{12}{x^2}}+\sqrt{x^2-\frac{12}{x^2}}=x^2}$ ...

please suggest me which option is better in terms of every aspect like placement,brand name etc. → 4 yr B.Tech course in mathematics and computing at IIT Guwahati OR → 4 yr B.S course in mathematics and scientific computi ...

$\textbf{Solve for $\mathbf{x}$: }$\\\\ \mathbf{\left(sin\;x+\sqrt{1+sin^2\;x}\right).\left(cos\;x+\sqrt{1+cos^2\;x}\right)=1}$ ...

\textbf{Solve System of Equations: }$\\\\\left\{\begin{matrix} \mathbf{\sqrt{x^2+y^2}=z+1} \\\\ \mathbf{\sqrt{y^2+z^2}=x+1} \\\\ \mathbf{\sqrt{z^2+x^2}=y+1} \end{matrix}\right;\mathbf{x.y,z\in\mathbb{R}} . ...

Simplify \left({\sqrt{75}-\sqrt{12}}\right)^{-2/3} ...

n+d(n)+d(d(n))=2000 where d(n) represents the sum of digits on n.... Find n... (Please do not refer to this question as an olympiad based question... it is tricky but the trick required is from class VIII-IX) Ricky killed it ...

1.Consider a circle with centre O.2 chords AB and CD extended intersect at a point P outside the circle.If <AOC=43 and <BPD=18,then the value of <BOD is: a.36 b.29 c.7 d.25 ...

f(x)= xn sinx cosx n! sin((npi)/2) cos((npi)/2) a a2 a3 show that dn/dxn[f(x)] at x=0 is 0.... ...

i got 2493 state rank and 145000 air i am from karnataka will i get a seat in nit-surathkal ...

Prove that for any " x , y > 0 " , x x + y y ≥ x y + y x ...

I am Getting a *M Sc. in Economics @Kanpur *Process Engineering+MBA @Roorkee *All courses in Dhanbad *Mech and Electrical @Patna Please help me to choose..!! ...

a rod AB with A(a/2,0) and B(a/2+L,0) and another rod CD with C(-a/2,0) and D(-a/2-L,0) are placed on the x axis.Find the electric force between them ...

Explain Lagranges Multipliers with some examples (please ;) atleast giv some q on lagranges multipliers (related to inequality of course) ...

1. Solve the inequality sin x + cos 2x > 1 if 0 ≤ x ≤ π/2 2. For a triangle ABC, it is given that : cos A + cos B + cos C = 3/2. Prove that the triangle is equilateral. ...

3 . *Image* " a r , b r and c r" are three sequences of real numbers . ...

\mathbf{\int_{0}^{1}\frac{1}{(1+x^{2011}).\sqrt[2011]{(1+x^{2011})}}dx}$ ...

$\textbf{If $\mathbf{z_{1}}$ and $\mathbf{z_{2}}$ are two distinct Complex no. such that $\mathbf{|z_{1}|=|z_{2}|}$\\\\ and $\mathbf{Re(z_{1})>0}$ and $\mathbf{Im(z_{2})<0}$.Then find value of $\mathbf{\displaystyle \fr ...

$If $x,y,z$ are real no. such that $\left\{\begin{array}{c} x+y+z=2\\ x^2+y^2+z^2=16\\ xyz=1\end{array}\right.$ .\\\\\\ Then Calculate value of $\displaystyle \frac{1}{xy+2z}+\frac{1}{yz+2x}+\frac{1}{zx+2y}=$ ...

$\textbf{Calculate value of $\mathbf{x}$ in }$\\\\ \mathbf{\left[\frac{x}{1!}\right]+\left[\frac{x}{2!}\right]+\left[\frac{x}{3!}\right]+.................+\left[\frac{x}{2007!}\right] = 1005}$\\\\ \textbf{Where $\mathbf{\left ...

*Image* How to approach these problems? [7] ...

[log {(log a)/(log b)} x (log b) / (log a)] / log {(log b)/(log a)} ...

how to integrate cosec ^3 x w.r.t x? ...

Q. The plates of a capacitor are 2 cm apart. An electron-proton pair is released somwhere in the gap between the plates and it is found that the proton reaches the negative plate at the same time as the electron reaches the p ...

Hey can anyone please tell me in detail abt the career prospects of engineering physics? Is research the only option? ...

which is more activated? ANILINE OR PHENOL.? my friend asked this from me. he'll tell answer tomorrow...... thanks ...

1. If the slope " Z (compressibility factor) vs " P " curve is constant ( Slope = π/492.6 atm-1) at a particular temperature (300 K) and very high pressure, then calculate the diameter if the molecules? 2.The density of vapo ...

what types of bonds does d and f orbitals form????? i mean to ask, sigma or pi.......... if we see a book regarding differences in both, point is sigma formed by 3 types(u wud b knowing). pi by 1 type only... but there is no ...

summation r=1 to r=101 of, (r)*(101-r)c50 ...

Q. Evaluate: \lim_{n\rightarrow \infty}\frac{[1^{2}x]+[2^{2}x]+[3^{2}x]+ ...+[n^{2}x]}{n^{3}} , [.] \; is \; G.I.F ...

A volume V of a gaseous hydrocarbon was exploded with excess o2 and after cooling a contraction of 2.5 times was noted. A further contraction of 2 twice the volume of hydrocarbon was noted in presence of molten KOH. The molec ...