List of top Questions asked in MHT CET

What is the overtone of a vibrating string?
Which of the following is a logic gate that gives an output of 1 when the inputs are different?
The solution of \( e^{y-x} \frac{dy}{dx} = \frac{y(\sin x + \cos x)}{1 + y \log y} \)

Area of the Region bounded by the curve y=√49-x2 and x-axis is .

If x = 3 tan t and y = 3 sec t, then find \(\frac{d^2y}{dx^2} \, at\,t=\frac{\pi}{4}\), is:

The sum of mean and variance of a given set is 15/2 and their number of trials is 10, then find the value of variance?

If \(A=\begin{bmatrix} 2a & -3b\\ 3 & 2\end{bmatrix}\) and \(\text{adj}A = AA^T\), then 2a+3b is?
What are the characteristics of capillaries?
Ki are possible values of K for which lines \(Kx + 2y + 2 = 0\), \(2x + Ky + 3 = 0\), \(3x + 3y + K = 0\) are concurrent, then \(∑k_i\) has value.

The differential equation dy/dx=√1-y2/y determines a family of circles with

If the line ax+by+c=0 is a normal to the curve xy=1, then 
 

The Points (1,3), (5,1) are Opposite vertices of a diagonal of a rectangle. If the other two vertices lie on the line y=2x+c, then one of the vertex on the other diagonal is? 
 

The number of solutions of tanx+secx=2cosx, n(0,2π) are?

\(f(x) = x^2 + 1\), \(g(x) = \frac{1}{x}\). Find \(f(g(g(f(x))))\) at \(x = 1\)
Considering only the principal value of an inverse function, the set: A= { x ≥ 0, tan-1x + tan-16x = \(\frac{\pi}{4}\)}, then A is... 
 
General Solution of the differential equation:
\(cos\,x(1+cos\,y)dx-sin\,y(1+sin\,x)dy=0\) is:

Solve for x, given \( \tan^{-1}\left(\frac{1 - x}{1 + x}\right) = \frac{1}{2} \tan^{-1}(x) \)

What causes poisoning of Carbon Monoxide?
What is the location of anticodon?
What is the diameter of malpighian body in a micrometer?
What is the SI unit of rate of diffusion?
Which mosquito cause sporozoites?

Dryopithecines fossil is found from?

What is the sequence of the PCR process?

What does water loss in the form of a liquid called?