List of top Questions asked in JEE Main

Draw a proportionate sketch of given reference image by using any black and white rendering techniques of your own choice.

OR

Decode image and prepare balanced composition in a frame of your choice by using any black and white rendering techniques.

Draw a scene of a Kite festival by using colors.

OR

Draw a Harmonic three dimensional composition with the following two types of objects.
(i) CUBOID A : SIZE \(2\) cm \(\times\) \(2\) cm \(\times\) \(2\) cm, 5 Nos.
(ii) CUBOID B : SIZE \(5\) cm \(\times\) \(2\) cm \(\times\) \(2\) cm, 4 Nos.

Use 'Cool Colorscheme' for composition.

The distance between the planes \(\vec{r}\cdot(2\hat{i}+\hat{j}-2\hat{k})+5=0\) and \(\vec{r}\cdot(6\hat{i}+3\hat{j}-6\hat{k})+2=0\) is :

The probability of solving a problem in Mathematics by two students X and Y are \(\frac{1}{4}\) and \(\frac{1}{5}\) respectively. If both of them try to solve the problem independently, then the probability that the problem will be solved by exactly one of them is equal to :

The polar form of the complex number \(\frac{1+i}{1-i}\) is equal to :

The problem figure shows the top view of an object. Identify the correct elevation amongst the answer figures looking in the direction of arrow.

The problem figure shows the top view of an object. Identify the correct elevation amongst the answer figures looking in the direction of arrow.

Identify the building compositions of having less visual tension amongst the following figures.

The 3D figure shows the view of an object. Identify the correct top view, amongst the answer figures.

The 3D figure shows the view of an object. Identify the correct top view, amongst the answer figures.

The 3D figure shows the view of an object. Identify the correct top view, amongst the answer figures.

If \( y=\frac{ax-b}{(x-1)(x-4)} \) has an extremum at the point \( (2,-1) \), then the values of \( a \) and \( b \) are :

The 3D figure shows the view of an object. Identify the correct view looking in the direction of arrow, amongst the answer figures.

The 3D figure shows the view of an object. Identify the correct view looking in the direction of arrow, amongst the answer figures.

There are 4, 5 and 6 points on the three parallel and co-planar lines. If no set of four or more points is cyclic and no set of three points lying on distinct lines is collinear, then the number of circles passing through exactly three points is :

\( \sum_{n=1}^{\infty} \frac{2n^{2}+7n+5}{n!} \) is equal to :

The sum of infinite number of terms of a Geometric Progression is 3 and the sum of the squares of its terms is \( \frac{9}{2} \). The sum of the cubes of its terms is :

Which of the following Boolean expression is a tautology ?

The least positive integral value of \( \lambda \) such that \( 10^{50}+(3 \times(4)^{52})+\lambda \) is divisible by 9 is :

Let \( |a|<1,|b|<1,|c|<1 \) and \( x=\sum_{n=0}^{\infty} a^{n}, y=\sum_{n=0}^{\infty} b^{n}, z=\sum_{n=0}^{\infty} c^{n} \). If \( \frac{1}{x}, \frac{1}{y}, \frac{1}{z} \) are in Arithmetic Progression, then :

The value of the integral \( \int_{-4}^{4}\left|9-x^{2}\right| \mathrm{d}x \) is :

The normal reaction 'N' for a vehicle of 800 kg mass, negotiating a turn on a \(30^\circ\) banked road at maximum possible speed without skidding is ____________ \(\times 10^3\) kg m/s\(^2\). [Given \(\cos 30^\circ = 0.87\), \(\mu_s = 0.2\)]

Match List - I with List - II : List - I (Chemicals)
(a) Alcoholic potassium hydroxide
(b) Pd/BaSO₄
(c) BHC (Benzene hexachloride)
(d) Polyacetylene List - II (Use/Preparation/Constituent)
(i) electrodes in batteries
(ii) obtained by addition reaction
(iii) used for β-elimination reaction
(iv) Lindlar's Catalyst