List of top Questions asked in MHT CET- 2020

The adjoint of the matrix \[ A = \begin{pmatrix} 2 & 3
-3 & 5 \end{pmatrix} \] is

If the A.M. and G.M. of the roots of a quadratic equation in \( x \) are \( p \) and \( q \) respectively, then its equation is

If the length of perpendicular drawn from the point $(4,1)$ on the line $3x - 4y + k = 0$ is $2$ units, then the values of $k$ are

Evaluate the integral \[ \int_{0}^{\pi} \frac{x \cos x \sin x}{\cos^3 x + \cos x}\,dx \]

If for the harmonic progression, \( t_7 = \frac{1}{10}, \, t_{12} = \frac{1}{25}, \) then \( t_{20} = \)

Which of the following have the same value:
(a) \( \sin 120^\circ \)
(b) \( \cos 930^\circ \)
(c) \( \tan 840^\circ \)
(d) \( \cot(-1110^\circ) \)

If for an Arithmetic progression, 9 times the ninth term is equal to 13 times the thirteenth term, then the value of the twenty-second term is

The equation of the plane passing through the points \( (2, 3, 1), (4, -5, 3) \) and parallel to the y-axis is

The equation of a line passing through the point of intersection of the lines \[ x + 2y + 8 = 0 \quad \text{and} \quad 3x - y + 4 = 0 \] and having x– and y–intercepts zero is

The value of \( \sin^{-1} \left( -\frac{1}{2} \right) + \cos^{-1} \left( -\frac{\sqrt{3}}{2} \right) \) is

If $\vec a,\vec b,\vec c$ are nonzero vectors along the coterminous edges of a parallelepiped with volume $7$ cubic units, then the volume of the parallelepiped with $\vec a+\vec b,\ \vec b+\vec c,\ \vec c+\vec a$ as the coterminous edges is

The entries in the last column of the truth table for \( \neg (p \wedge q) \) are

The probability that a bomb will miss the target is 0.2. Then the probability that out of 10 bombs dropped exactly 2 will hit the target is

If the body cools from \( 135^\circ C \) to \( 80^\circ C \) at room temperature of \( 25^\circ C \) in 60 minutes, then the temperature of the body after 2 hours is

The domain of the function \( f(x) = \sqrt{x} \) is

If \( A \) and \( B \) are independent events such that odds in favour of \( A \) is 2:3 and odds against \( B \) is 4:5, then \( P(A \cap B) = \)

Evaluate \( \int_0^{\frac{\pi}{2}} \sin^2 x \, dx \)

If \( A, B, C \) are angles of a triangle ABC, then \( \tan 2A + \tan 2B + \tan 2C = \)

A ball falls in the downward direction from a height \( h \) with initial velocity \( V \). It collides with the ground, loses \( \frac{3}{4} \)th of energy and comes back to the same height. The initial velocity \( V \) is (g = acceleration due to gravity)

Which of the following elements is refined by zone refining?

In meter bridge experiment, null point was obtained at a distance \( f \) from left end. The values of resistances in the left and right gaps are doubled and then interchanged. The new position of null point is

Water reaches to the top of trees of more than 100 feet against gravity, which one of the following is the main phenomenon responsible for this?

Match the Column-I with Column-II and select the correct option.
Column-I Column-II
(a) DNA fragmentation (i) ssDNA gets embedded in nylon membrane
(b) Electrophoresis (ii) Sample DNA and probe DNA form double stranded DNA
(c) Southern blotting (iii) DNA fragments move to positive pole
(d) Hybridization (iv) Fragments of DNA with variable length are formed

In a heterozygous tall pea plant, the possibility of T gamete fertilizing T gamete during its selfing is ___________%.

A sudden rise in the level of LH stimulates ______________.