To increase milk yield,a cow is given:

$A$ road is $10\,m$ wide. Its radius of curvature is $50\,m$. The outer edge is raised above the inner edge by a distance of $1.5\,m$. This road is most suited for a velocity of ......... $m/s$. (in $.5$)

Let $P(-1, 0)$,$Q(0, 0)$,and $R(3, 3\sqrt{3})$ be three points. Then the equation of the bisector of the angle $\angle PQR$ is

Cultivation of $Bt$ Cotton has been much in the news. The prefix "$Bt$" means

$A$ building has two overhead water tanks, each fitted with a sensor $(S_1, S_2)$ which goes to $0$ when the water level in the tank falls below a set value and remains $1$ otherwise. $A$ common pump is used to raise water from an underground storage tank to these overhead tanks. Of the following circuits, which one will turn on $(P = 1)$ the pump only when at least one of the tanks has a water level below the set value?

What is the common name of benzene$-1,3-$diol?