Let $z\in\mathbb{C}$ be such that $|z|<1$. If $\omega=\dfrac{5+3z}{5(1-z)},z$, then:

1

The value of $\sin 10^{\circ},\sin 30^{\circ},\sin 50^{\circ},\sin 70^{\circ}$ is:

Topic: JEE Main 2019 (9 April Evening Shift)

2

The value of the integral $\displaystyle \int_{0}^{1} x\cot^{-1}\left(1 - x^{2} + x^{4}\right),dx$ is:

Topic: JEE Main 2019 (9 April Evening Shift)

1

If $\cos x{{dy} \over {dx}} - y\sin x = 6x$, (0 &lt; x &lt; ${\pi \over 2}$) and $y\left( {{\pi \over 3}} \right)$ = …

Topic: JEE Main 2019 (9 April Evening Shift)

2

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)

3

If the function $f(x) = \left\{ {\matrix{ {a|\pi - x| + 1,x \le 5} \cr {b|x - \pi | + 3,x &gt; 5} \cr } } …

Topic: JEE Main 2019 (9 April Evening Shift)

4

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)

5

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)

6

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)

7

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)

8

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)

9

If a unit vector $\vec{a}$ makes angles $\dfrac{\pi}{3}$ with $\hat{i}$, $\dfrac{\pi}{4}$ with $\hat{j}$ and $\theta\in…

Topic: JEE Main 2019 (9 April Evening Shift)

10

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)