The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is :

1

Considering only the principal values of inverse functions, the set $A = \{x \ge 0 : \tan^{-1}(2x) + \tan^{-1}(3x) = …

Topic: JEE Main 2019 (12 January Morning Shift)

2

If the straight line $2x-3y+17=0$ is perpendicular to the line passing through the points $(7,17)$ and $(15,\beta)$, th…

Topic: JEE Main 2019 (12 January Morning Shift)

3

For x > 1, if $(2x)^{2y}=4e^{2x-2y}$, then $\,(1+\log_e 2x)^2\,\dfrac{dy}{dx}$ is equal to :

Topic: JEE Main 2019 (12 January Morning Shift)

4

The area (in sq. units) of the region bounded by the parabola $y=x^{2}+2$ and the lines $y=x+1$, $x=0$ and $x=3$, is:

Topic: JEE Main 2019 (12 January Morning Shift)

5

$\displaystyle \lim_{x\to \pi/4}\frac{\cot^{3}x-\tan x}{\cos\!\left(x+\frac{\pi}{4}\right)}$ is:

Topic: JEE Main 2019 (12 January Morning Shift)

6

The integral $\displaystyle \int \cos(\log_e x)\,dx$ is equal to (where $C$ is a constant of integration):

Topic: JEE Main 2019 (12 January Morning Shift)

7

Let $S$ be the set of all points in $(-\pi,\pi)$ at which the function $f(x)=\min\{\sin x,\cos x\}$ is not differentiab…

Topic: JEE Main 2019 (12 January Morning Shift)

8

An ordered pair ($\alpha $, $\beta $) for which the system of linear equations (1 + $\alpha $) x + $\beta $y + z = 2 …

Topic: JEE Main 2019 (12 January Morning Shift)

9

The maximum value of $3\cos\theta+5\sin\!\left(\theta-\dfrac{\pi}{6}\right)$ for any real value of $\theta$ is:

Topic: JEE Main 2019 (12 January Morning Shift)

10

If $\lambda$ be the ratio of the roots of the quadratic equation in $x$, \[ 3m^{2}x^{2}+m(m-4)x+2=0, \] then the least …

Topic: JEE Main 2019 (12 January Morning Shift)