List of top Mathematics Questions asked in MHT CET

The angle between the lines $x+y-3=0$ and $x-y+3=0$ is $\alpha$ and the acute angle between the lines $x-\sqrt{3}y+2\sqrt{3}=0$ and $\sqrt{3}x-y+1=0$ is $\beta$. Which one of the following is correct?

The value of $k$ which makes $f(x)=\{\begin{array}{l}\sin x,x\ne 0\\ k,x=0\end{array}$ continuous at $x=0$, is:

What is the number of different messages that can be represented by three a’s and two b’s?

Find the area bounded between the curve $\mathrm{y}={\mathrm{x}}^2$ and $\mathrm{y}={\mathrm{x}}^3$.

Find the equation of the normal to the curve $y=3x^2+1$, which passes through $(2,13)$.