Vinod Singh and Shweta Pawar Solutions for Chapter: MHT-CET 2019 Question Paper, Exercise 1: MHT-CET 2019 QUESTION PAPER 6th May 2019 (Afternoon)

${\int }_{\frac{-\pi }{8}}^{\frac{\pi }{8}} \log \left(\frac{2-\sin x}{2+\sin x}\right)dx=$

The area of the region bounded by parabola $y^2=16x$ and its latus rectum is_______ square units.

The solution of $\frac{dy}{dx}=\frac{y+1}{x+1}$; $x,y>0$ when $y\left(1\right)=2,$ is

The rate of increase in the number of bacteria in a certain bacteria culture is proportional to the number present. If in $5$ hrs, the number triples, then in $10$ hrs, the number of bacteria present is

The order of the differential equation of all rectangular hyperbolas is

The $\mathrm{p}.\mathrm{d}.\mathrm{f}.$ of a random variable $X$ is given by $f\left(x\right)=\left\{\begin{array}{ll}kx,& 0<x<2\\ 0,& \text{otherwise}\end{array}\right.$, then $k=$

The $\mathrm{p}\mathrm{.}\mathrm{m}\mathrm{.}\mathrm{f}.$ of a random variable $X$ is given by 

Then, $k=$

If in a certain experiment, the probability of success in each trial is $\frac{3}{4}$ times the probability of failure, then the probability of at least one success in $5$ trials is