If a unit vector $\vec{a}$ makes angles $\dfrac{\pi}{3}$ with $\hat{i}$, $\dfrac{\pi}{4}$ with $\hat{j}$ and $\theta\in(0,\pi)$ with $\hat{k}$, then a value of $\theta$ is:
Previous 10 Questions — JEE Main 2019 (9 April Evening Shift)
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A rectangle is inscribed in a circle with a diameter lying along the line $3y=x+7$. If the two adjacent vertices of the…
Topic: JEE Main 2019 (9 April Evening Shift)
A rectangle is inscribed in a circle with a diameter lying along the line $3y=x+7$. If the two adjacent vertices of the…
Topic: JEE Main 2019 (9 April Evening Shift)
A rectangle is inscribed in a circle with a diameter lying along the line $3y=x+7$. If the two adjacent vertices of the…
Topic: JEE Main 2019 (9 April Evening Shift)
The mean and the median of the following ten numbers in increasing order $10,22,26,29,34,x,42,67,70,y$ are $42$ and $35…
Topic: JEE Main 2019 (9 April Evening Shift)
The area (in sq. units) of the region
$A={(x,y):\dfrac{y^{2}}{2}\le x\le y+4}$ is:
Topic: JEE Main 2019 (9 April Evening Shift)
If the function $f(x) = \left\{ {\matrix{
{a|\pi - x| + 1,x \le 5} \cr
{b|x - \pi | + 3,x > 5} \cr
} } …
Topic: JEE Main 2019 (9 April Evening Shift)
If the sum and product of the first three terms in an A.P. are $33$ and $1155$, respectively, then a value of its $11^{…
Topic: JEE Main 2019 (9 April Evening Shift)
If $\cos x{{dy} \over {dx}} - y\sin x = 6x$, (0 < x < ${\pi \over 2}$)
and $y\left( {{\pi \over 3}} \right)$ = …
Topic: JEE Main 2019 (9 April Evening Shift)
Let $z\in\mathbb{C}$ be such that $|z|
Topic: JEE Main 2019 (9 April Evening Shift)
The value of $\sin 10^{\circ},\sin 30^{\circ},\sin 50^{\circ},\sin 70^{\circ}$ is:
Topic: JEE Main 2019 (9 April Evening Shift)
Next 10 Questions — JEE Main 2019 (9 April Evening Shift)
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The domain of the function $f(x)=\dfrac{1}{4-x^{2}}+\log_{10}(x^{3}-x)$ is:
Topic: JEE Main 2019 (9 April Evening Shift)
Two newspapers $A$ and $B$ are published in a city. It is known that $25%$ of the city population reads $A$ and $20%$ r…
Topic: JEE Main 2019 (9 April Evening Shift)
If $m$ is chosen in the quadratic equation
$(m^{2}+1)x^{2}-3x+(m^{2}+1)^{2}=0$
such that the sum of its roots is greate…
Topic: JEE Main 2019 (9 April Evening Shift)
$\displaystyle \int e^{\sec x},\big(\sec x\tan x,f(x)+\sec x\tan x+\sec^{2}x\big),dx ;=; e^{\sec x}f(x)+C$
Then a possi…
Topic: JEE Main 2019 (9 April Evening Shift)
If $f(x)=[x]-\left[\dfrac{x}{4}\right],\ x\in\mathbb{R}$, where $[\cdot]$ denotes the greatest integer function, then
Topic: JEE Main 2019 (9 April Evening Shift)
The total number of matrices
$A = \left( {\matrix{
0 & {2y} & 1 \cr
{2x} & y & { - 1} \cr
…
Topic: JEE Main 2019 (9 April Evening Shift)
The vertices $B$ and $C$ of a $\triangle ABC$ lie on the line $\dfrac{x+2}{3}=\dfrac{y-1}{0}=\dfrac{z}{4}$ such that $B…
Topic: JEE Main 2019 (9 April Evening Shift)
If the two lines $x+(a-1)y=1$ and $2x+a^{2}y=1$ $(a\in\mathbb{R}\setminus{0,1})$ are perpendicular, then the distance o…
Topic: JEE Main 2019 (9 April Evening Shift)
A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is $\tan^{-1}\left(\dfrac{1}{2…
Topic: JEE Main 2019 (9 April Evening Shift)
If $f:\mathbb{R}\to\mathbb{R}$ is a differentiable function and $f(2)=6$, then
$\displaystyle \lim_{x\to 2}\dfrac{\int_…
Topic: JEE Main 2019 (9 April Evening Shift)
