List of top Mathematics Questions asked in MHT CET

Find the value of $y-x$ from the following equation:$2\left[\begin{array}{cc}x& 5\\ 7& y-3\end{array}\right]+\left[\begin{array}{cc}3& -4\\ 1& 2\end{array}\right]=\left[\begin{array}{cc}7& 6\\ 15& 14\end{array}\right]$

Find the maximum value of 15sin θ + 20cos θ.

Calculate the area under the curve $y=2\sqrt{x}$ and included between the lines $x=0,x=4$.

Find the area of the region (in square unit) bounded by the curve $y=x-2$ and $x=0$ to $x=4$.

If, $y=9\sqrt{x+\sqrt{x+\sqrt{x+....\infty }}}$ find $\left(\frac{dy}{dx}\right)$ at a point where y = 3.

What is the value of ${\int }_4^9\frac{1}{\sqrt{x}}dx$ ?

The maximum value of $\frac{\ln x}{x}$ is:

Evaluate ${\int }_0^{\frac{\pi }{2}}\frac{\cos x}{1+{\sin }^{2}x}dx$:

Find the equation of the line passing through $(-3,5)$ and perpendicular to the line through the points $(2,5)(-3,6)$.

The equation of the locus of a point equidistant from the point A(1, 3) and B(-2, 1) is:

If $2x^3-3y^2=7$, what is $\frac{dy}{dx}$ equal to $(y\ne 0)$:

If ${\cos }^{-1}\left(\frac{p}{a}\right)+{\cos }^{-1}\left(\frac{q}{b}\right)=\alpha$, then $\frac{p^2}{a^2}+k\cos \alpha +\frac{q^2}{b^2}={\sin }^2\alpha$ where $\mathrm{k}$ is equal to:

Find the equation of the line perpendicular to the line $x-3y+5=0$ and passes through the point $(2,-4)$.

Find the value $f^{\prime }(x)$, if $f(x)={\sin }^{-1}(1-x^2)$

If $A=\left[\begin{array}{ccc}1& -1& 0\\ 3& 2& -1\end{array}\right]$ and $B=\left[\begin{array}{l}1\\ 3\\ 5\end{array}\right]$, find $(AB{)}^T$.

Find the equation of tangent of $y=x^2$ at $x=1$

What is the area of the parabola $x^2=y$ bounded by the line $y=1$?

If $\underset{x\to \mathrm{\infty }}{lim}(\frac{x^2+x+1}{x+1}-px-q)=-3$, then $p$ and $q$ is:

What is the equation of line passing through (0, 1) and making an angle with the y-axis equal to the inclination of the line x - y = 4 with x-axis?

The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the equation of the diagonal BD?

Graphic location of mode is done with reference to:

Find the equation of tangent to the curve $y=\sqrt{5x-3}-2$, which is parallel to the line $4x-2y+3=0$?

If $\int \frac{x^2+1}{x(x+1{)}^2}dx=A\ln |x|+\frac{B}{1+x}+C$, where C is the constant of integration, then $A+B$ $=$

Find the area between the curve $y=x^2$ and $y=x$.

The value of the term independent of $x$ in the expansion of ${(x^2-\frac{1}{x})}^9$ is: