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Mathematics
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Brahmagupta
  • Member for 10 years, 9 months
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15
$PA^2\sin A+PB^2\sin B+PC^2\sin C$ is minimum if $P$ is the incenter.
Sep 19, 2015
12
Find the roots of the equation $x^2-[x]=4$ where $[x]$ is the greatest integer less than or equal to $x$.
Sep 22, 2015
9
Find the maximum and minimum values of $\sin^2\theta+\sin^2\phi$ when $\theta+\phi=\alpha$
Jun 1, 2016
9
$\int_{0}^{\infty}\frac{dx}{a^2+\left(x-\frac{1}{x}\right)^2}$ equals $\frac{\pi}{5050}$
Aug 20, 2015
8
A coin is tossed $m+n$ times $(m>n)$.Show that the probability of atleast $m$ consecutive heads is $\frac{n+2}{2^{m+1}}$
Sep 29, 2015
8
Let $f:[1,10]\to \Bbb{Q}$ be a continuous function and $f(1)=10,$then $f(10)=?$
Aug 9, 2015
8
$\frac{1}{A_1A_2}=\frac{1}{A_1A_3}+\frac{1}{A_1A_4}$.Then find the value of $n$
Aug 9, 2015
7
Let $f(x)=\sqrt{x^2+3x+4}$ be a rational-valued function of the rational variable $x$. Find the domain and range.
Sep 5, 2015
7
If $(x,y)$ satisfies $x^2+y^2-4x+2y+1=0$ then the expression $x^2+y^2-10x-6y+34$ CANNOT be equal to
Jan 18, 2016
7
Let $f\colon\Bbb R\to \Bbb R-\{3\}$ be a function such that there exist $T>0$ with $f(x+T)=\frac{f(x)-5}{f(x)-3}$ for every $x\in\Bbb R$.
Sep 25, 2015