Recently Active Questions

5x/2-2x=1 ...

1. Find the sum of the products of every pair of the first n natural numbers 2. Sum the series : 1 + 4 + 10 + 22 + 46 + ...... to n terms. 3. Find the sum of first n terms of the series : 1(1)! + 2(2) ! + 3(3)! + 4(4)! + .... ...

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 ...

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 ...

(2+\sqrt{3})^{x^{2}-2x+1} +(2-\sqrt{3})^{x^{2}-2x-1}=\frac{2}{2-\sqrt{3}} ...

Given a cyclic quadrilateral with side lengths a,b,c,d the area K can be found as: K=\sqrt{(s-a)(s-b)(s-c)(s-d)} ...

$\textbf{If $\mathbf{a^2+b^2+c^2=3}$.Then find Max. value of $\mathbf{a+b+c-3abc}$} ...

xy+x+y=23 xz+x+z=41 yz+y+z=27 ...

If xyz=1, x+1/z=5; y+1/x=29, then z+1/y=? ...

\mathbf{\lim_{n\to\infty}n.\int_{0}^{\frac{\pi}{2}}\left(1-\sqrt[n]{sinx}\right)dx=}$\\\\ \textbf{Ans::\Rightarrow \mathbf{\displaystyle \frac{\pi.ln(2)}{2}}} ...

A certain fictitious gas is found to obey Van der Waals eqn exactly.the volume of gas is changed from Vi= 1000nb to Vf=2000nb. assume that a is small compared to pV2/n2 ,but not negligible. if change in volume occured at cons ...

x^{2}+y(x+1)=17 y^{2}+x(y+1)=13 ...

I have discovered that recently OLD BITMAP images which were earlier uploaded on this website are DISAPPEARING....plz rectify it! ONE MORE ERROR...now we are able to upload both jpeg and bitmap files but we see NOTHING in the ...

$\textbf{Calculate real values of $\mathbf{x}$ in\\\\ $\mathbf{27^x+125^x+343^x+1331^x=105^x+165^x+231^x+385^x}$} ...

1. a4 + b4 + c4 > 3abc (a + b + c) 2. if x = 2 + 21/3 + 22/3, then find x3 - 6x3 + 6x Please please please......... solve these.... ...

1.Let a1=b1=1, a2=2, b2=3, an+1=an+bn, bn+1=2an+bn, then: A> bn2=2an2+1, if nis odd. B> bn2=2an2-1, if n is odd. C> limn->∞ bn/an= 2 -1 D> limn->∞ bn/an= 2 (Multiple correct) ...

$\textbf{Find Minimum value of $\mathbf{f(x)=\left(\sqrt{-x^2+4x+21}-\sqrt{-x^2+3x+10}\right)}}$\\\\ Ans:\Rightarrow ::::=\sqrt{2} ...

$\textbf{Calculate value of $\mathbf{x}$ in $}\\\\ \mathbf{(7x+1)^{\frac{1}{3}}+(-x^2+x+8)^{\frac{1}{3}}+(x^2-8x-1)^{\frac{1}{3}}=2}$ ...

Find all primes p and q such that p2+ 7pq + q2 is square of an integer. (dbt) ...

such an easy 2nd paper these swines have prepared .how does one expect correct judjement? ...

Find three distinct positive integers with the least possible sum such that the sum of the reciprocals of any two integers among them is an integral multiple of the reciprocal of the third integer. ...

Find the number of 4-digit numbers(in base 10) having non-zero digits and which are divisible by 4 but not by 8. ...

Within a few weeks the results of all the major entrance exams will be declared.. .. and if you are confused about the branch and engineering college to choose.. this is the place where u can discuss and clear ur dilemma. ...

$\textbf{If $\mathbf{x_{1},x_{2},x_{3},.......,x_{n}}$ are the roots of the equation $\mathbf{x^n+2x^{n-1}+3x^{n-2}+.........+nx+n+1=0}$.\\\\ Then Calcuate value of $\mathbf{\sum_{k=1}^{n}\frac{x_{k}^{n+1}-1}{x_{k}-1}=}$ } ...

Find the largest interval in which x lies satisfying x^{12}-x^{9}+x^{4}-x+1>0 ...

What is the largest integer n such that 33! divisible by 2n? ...

$Prove That $\mathbf{tan\left(\frac{\pi}{11}\right)\times tan\left(\frac{2\pi}{11}\right)\times tan\left(\frac{3 \pi}{11}\right)\times tan\left(\frac{4\pi}{11}\right)\times tan\left(\frac{5\pi}{11}\right)=\sqrt{11}} ...

Plz someone give me ISI Bstat2011 question paper, I am going to sit in 2012 ...

Hey. I want to clear NSEP this year and do good at INPHO. How should I prepare ? I appeared NSEP in my XI-th( last year). I could easily do the portions I had completed but I am anxious about the time management. It took me t ...

$\textbf{Find the Ellipse with the largest area such that $\mathbf{x+2y=2}$ is a\\\\ tangent and his foci is at $\mathbf{(-c,0)}$ and $\mathbf{(c,0)}$ for some $\mathbf{0<c<2}$}\\ ...