List of top Questions asked in MHT CET- 2020

The Cartesian coordinates of the point on the parabola \[ y^2 = x \quad \text{whose parameter is} \quad \frac{-4}{3} \] are

The equation of the tangent at \( P(-4, -4) \) on the curve \[ x^2 = -4y \] is

The angle between the line \[ \mathbf{r} = (i + j + k) + \lambda (3i + j + 3k) \] and the plane \[ \mathbf{r} \cdot (i + 2j + 3k) = 8 \] is

If \[ \frac{x}{\sqrt{1 + x^2}} + \frac{y}{\sqrt{1 + y^2}} = 0, \quad x \neq y, \text{ then } (1 + x^2)^2 \frac{dy}{dx} = \]

If \( (a, -2a), \, a>0 \) is the midpoint of a line segment intercepted between the co-ordinate axes, then the equation of the line is

The sum of the cofactors of the elements of the second row of the matrix \[ \begin{pmatrix} 1 & 3 & 3 & 2 \\ -2 & 0 & 4 & 1 \\ 5 & 2 & 1 & 1 \end{pmatrix} \] is

The direction cosines of a line which is perpendicular to lines whose direction ratios are \( 3, -2, 4 \) and \( 1, 3, -2 \) are

In a triangle \( ABC \) with usual notations, if \( \frac{\cos A}{a} = \frac{\cos B}{b} = \frac{\cos C}{c} \), then the area of triangle \( ABC \) with \( a = \sqrt{6} \) is

In a quadrilateral \( ABCD \), \( M \) and \( N \) are the mid-points of the sides \( AB \) and \( CD \) respectively. If \( AD + BC = t \cdot MN \), then \( t = \)

Which among the following type of linkages is present in cellulose?

A solution has an osmotic pressure of \( x \) kPa at 300K having 1 mole of solute in \( 10^{-5} \, \text{m}^3 \) of solution. If its osmotic pressure is reduced to \( \frac{1}{10} \) of its initial value, what is the new volume of solution?

Which of the following is NOT present in baking powder?

Which of the following salts contain interstitial water molecules in it?

Identify the product ‘A’ in the following reaction:
\text{Aniline} + (CH\(_3\)CO)\(_2\)O \(\xrightarrow{\text{pyridine}}\) A

Which among the following is used as refrigerants and for air conditioning?

What type of intermolecular force is present between magnesium chloride and water?

What is the effective atomic number of Zn in \([Zn(NH_3)_4]SO_4\)? (Atomic number of Zn = 30)

Alkyl cyanides on reduction by sodium and ethanol give primary amines. This reaction is called as _____.

Which among the following compounds belongs to lipids?

Which among the following is an antioxidant?

What is the value of C-O-H bond angle in CH\(_3\)-OH?

Which among the following is non-poisonous in nature?

Zirconium is refined by ..................

Identify the enzyme that catalyses the reaction of CO\(_2\) with water in the human body.

If a centimolar aqueous solution of K\(_3\)[Fe(CN)\(_6\)] has degree of dissociation 0.78, what is the value of van't Hoff factor?