Recently Active Mathematics Questions

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 ? ...

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} } ...

$\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 ...

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! ...

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}}} ...

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

$\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) ...

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. ...