Recently Active Questions

1) x\sqrt{y}+y\sqrt{x}=20 x\sqrt{x}+y\sqrt{y}=65 2) 3x+4x+5x =6x 3) Find all the roots of the equation : 4x4 – 24x3 + 57x2 + 18x – 45 = 0 if one root is 3 + i 6 . ...

How to draw the graph of y≥x2-1? If x=1 then y≥0.So,where to find this point as y can be anywhere? ...

1. Find the real values of a so that a2+2a,a2+3a+8,2a+3 are the sides of a triangle. 2. If x=2+21/3+22/3 then the value of x3-6x^2+6x is ? 3. Find the eqn whose roots are two more than the roots of ax^2+bx+c=0 . ...

Problem 1: If a1,a2,.........an-1,an are in AP prove: 1/(a1an) + 1/(a2an-1)+1/(a3an-2)+..............+1/(ana1)=[2/(a1+an)][1/a1 + 1/a2+ 1/a3 +.........+ 1/an] ...

Hi guys , how did you do in ISAT 2011 ? Hope not too bad .... But only 79 GEN seats available , so not much to rue over if you've done bad ... ...

was it benzene or one of its substituted compounds which was first known to the humans?What could have been the possible reason for this! ...

Evaluate : \int_{-1}^{1}{\frac{\ln(13-6\cos{x})dx}{\sqrt{1-x^2}}} ...

a point charge q= -8 nC is located at the origin. Find the electric field vector at the point x=1.2m & y= -1.6m? ...

*Image* ...

find the max value of (cos\,\, \alpha _{1}) (cos\,\, \alpha _{2}) ...... (cos\,\, \alpha _{n}) under the restrictions 0\leq \alpha _{i}\leq \Pi /2 and (cot\,\, \alpha _{1}) (cot\,\, \alpha _{2}) ...... (cot\,\, \alpha _{n}) = ...

If f(x)=\frac{ax}{x+1} , x\neq -1 then for what value of a is f(f(x))=x ? ...

Find 3-digit numbers that are divisible by 5 as well as 9 and whose consecutive digits are in A.P ...

A rectangular sheet of paper is folded so that two diagonally opposite corners come together. If the crease formed is the same length as the longer side of the sheet, what is the ratio of the longer side of the sheet to the s ...

If ax+by+c=0 is a tangent to xy=4, then find the sign of a and c . ...

Let z and w be two complex numbers such that \bar{z} +i\bar{w} =0 and arg zw=∩ , then arg z is equal to ? ...

How can you add eight 8's to get the number 1,000? (only use addition) ...

What digit is the least frequent between the numbers 1 and 1,000? ...

Find the sum of all four digit palindromes. ...

$\textbf{ If $\mathbf{\alpha,\beta,\gamma}$ be the Roots of the equation $\mathbf{x^3+2x^2-3x-1=0}$.\\\\ Then find the value of $\mathbf{\frac{1}{\alpha^5}+\frac{1}{\beta^5}+\frac{1}{\gamma^5}=}$} ...

$\textbf{Solve Inequality:}\\\\ $\mathbf{3^x+4^x+6^x+8^x+15^x=5^x+9^x+10^x+12^x\forall x\in\mathbb{R} } ...

i was reading an interesting book today and found something interesting on which i thought having some opinions from users here would be helpful to me...think of this as a experiment(actually this indeed was performed y scien ...

First one from my side: THERE IS NO WORD LIKE MARKONIKOV'S RULE OR ZAITSEV'S RULE(i mean just know them but never use them while deriving products)..only attainment of stability is the rule to be followed! ...

$\textbf{Calculate value of $\mathbf{x}$ in $\mathbf{2\cdot \left\{x\right\}=3[x]-[x^2]}$ }\\\\ \textbf{Where $\mathbf{\left\{.\right\}$= Fractional Part of $\mathbf{x}$}}\\\\ \textbf{and $\mathbf{[.]=}$ Integer Part}$ ...

\left|x-2 \right|^{log_{2}x^{3}-3log_{x}4} = (x-2)^{3} ...

$Solve The Equation $\mathbf{2012^x-2011^x=1+3\left(2011^{\frac{x}{3}}+2011^{\frac{2x}{3}}\right)}$\\\\ \mathbf{Ans:=}::$\mathbf{x=3}$ ...

\textbf{Solve The equation}:\\\\ \mathbf{\sqrt{4^x-6^x+9^x}+\sqrt{9^x-3^x+1}+\sqrt{4^x-2^x+1}=2^x+3^x+1} ...

If a circle with centre C(alpha ,beta) intersects a rectangular hyperbola with centre L(h,k) at four points P(x1,y1), Q(x2,y2), R(x3,y3) and S(x4,y4), then the maen of the 4 pts P,Q,R,S is the mean of the pts C and L.In other ...

Hi Guys ! Actually i wanna know if someone has idea abt CCB of AIEEE. I heard tht if we take any NIT through CCB we can't give AIEEE next year or take admission in any other NIT next year. I am expecting 178 marks in AIEEE th ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

I request forum experts and Mods to provide some links to websites where i can find material on HOW TO NORMALISE A SEQUENCE! ...