List of top Questions asked in JEE Main

The Konark Temple is located in which state?

Which is the correct chronology of Human Civilizations in terms of their existence?

A small lift for carrying only a small load is known as:

Who is the architect of the Lotus Temple?

Choose the correct option among the following:
Petronas Tower is situated in:

In which State of India, Robbers cave is situated:

Which one of these is not a complimentary colour?

Match List I with List II

LIST I		LIST II
A.	CP Kukreja	I.	IIM Ahmedabad
B.	Louis I Kahn	II.	Jawahar Lal Nehru University
C.	B.V Doshi	III.	IIT Kanpur
D.	Achyut Kanvinde	IV.	IIM Bengaluru

Choose the correct answer from the options given below:

Match List I with List II

LIST I		LIST II
A.	PMUY	I.	KAUSHAL VISKAS YOJNA
B.	PMAY	II.	JAN DHAN YOJANA
C.	PMKVY	III.	UJJWALA YOJANA
D.	PMJDY	IV.	AWAS YOJANA

Choose the correct answer from the options given below:

Let O be the origin and let the vectors \(\overrightarrow{OA} = -3\hat{i} + 7\hat{j} + 5\hat{k}\), \(\overrightarrow{OB} = -5\hat{i} + 7\hat{j} - 3\hat{k}\) and \(\overrightarrow{OC} = \hat{u}\) represent three sides of a parallelopiped, where \(\hat{u}\) is a unit vector in the \(xy\)- plane. If the maximum volume of the parallelopiped is \(2\sqrt{\alpha}\), then \(\alpha\) is equal to ________.

If the solution curve of the differential equation \(\frac{x + y - 2}{x + y - 1}\,\frac{dy}{dx} = \frac{x + y + 2}{x + y + 1}\), \(x + y > 2\), passes through the points \((\sqrt{2}, \sqrt{2})\) and \((2, \alpha)\), then \(2\alpha - \log_e\left(\frac{\alpha^2 + 4\alpha + 2}{6}\right)\) is equal to ________.

Given below are two statements:
Statement I : Glass has low thermal conductivity
Statement II : Glass can absorb, refract and transmit light.
In the light of above statements, choose the most appropriate answer from the options given below

Given below are two statements:
Statement I : Chandigarh is the first planned city of Independent India
Statement II : Chandigarh city was designed by Swiss French architect Le Corbusier
In the light of above statements, choose the most appropriate answer from the options given below

Adobe is a

Let \( (1 + x^2 - x^4)^{12} = \sum_{n=0}^{48} a_n x^n \). Then \( a_0 + a_2 + a_4 + \ldots + a_{44} \) is equal to ________.

Let \(\alpha_1, \alpha_2\) be the values of \(\alpha\) such that the distance between the point \((2, 4, 3)\) and the plane \(3x + y + \alpha z + 10 = 0\) is \(\sqrt{35}\) units. Then the area of the triangle with vertices \((\alpha_1, \alpha_2, 0)\), \((\alpha_2, \alpha_1, 0)\) and \(\left(\frac{164}{13}, 5, 0\right)\) is ________ unit\(^2\).

Let the equation of the hyperbola with foci \((1, 5), (1, -1)\) and eccentricity \(\sqrt{3}\) be \(x^2 - 2y^2 + ax + by + c = 0\). Then \(|a + b + c|\) is equal to ________.

If \(\int \frac{dx}{(3x^2 + 5)\sqrt{10x^2 + 7}} = -\frac{1}{\sqrt{580}} \log_e |f(x)| + C\) where C is an arbitrary constant, then \(f(0)\) is equal to ________.

If \( \mathrm{S}_n \) denotes the sum of first n terms of the series \( 7 + 10 + 16 + 25 + 37 + \ldots \), then \( \mathrm{S}_{30} - \mathrm{S}_{20} \) is equal to ________.

If \([t]\) denotes the greatest integer \(\leq t\), then the number of points, at which the function \(f(x) = [x + x^3] + |x - x^3| + \left|x + \frac{1}{2}\right|\) is not differentiable in the open interval \((-10, 10)\), is ________.

The curve \( y = x^2 + 1 \) divides the area enclosed by the curves \( y + |x| = 3 \) and \( y = |x - 1| \) in the ratio m : n, where m and n are coprime, then m + n is equal to ________.

Which of the following statements is a tautology ?

The domain of the function \( f(x) = \cos^{-1}\left(\frac{x^2 - 3x + 2}{x^2 + 2x - 1}\right) \) is :

The number of ways in which 30 identical pens can be distributed among 12 students so that each student gets at least one pen and exactly two students get at least two pens each, is ________.

Let \( X \) have the binomial distribution \( \mathrm{B}(n, p) \). If its mean is 3 and variance is 2, then \( \mathrm{P}\left(X < \frac{n}{4}\right) \) is equal to :