Mathematics Mock Test - 9

If ${\int }_0^{2\pi }|x\sin x|dx=k\pi$, then the value of $k$ is equal to:

If $\frac{x-1}{l}=\frac{y-2}{m}=\frac{z+1}{n}$ is the equation of the line passing through $(1,2,-1)$ and $(-1,0,1)$, then $(l,m,n)$ is:

Let $g(x)$ be the inverse of an invertible function $f(x)$ which is differentiable at $x=c$, then $g^{\prime }(f(c))$ equals:

If the line $ax+by+c=0$ is a tangent to the curve $xy=4$, then:

Urn A consists of $3$ blue and $4$ green balls while another urn B consists of $5$ blue and $6$ green balls. One ball is drawn at random from one of the urns and it is found to be blue. Determine the probability that it was drawn from urn B?