How many value of $y$ between $0^o$ and $180^o$ satisfy the equation $2\sin^2y+3\cos y=0$

If $\alpha + \beta +\gamma = 180^o$, $\tan{\alpha} +\tan{\beta} +\tan{\gamma} = 3$ then $\cot{\alpha} \cot{\beta} \cot{\gamma} =3$

Find $x$, if the 17th and 18th terms in the expansion $(2+a)^{50}$ are equal

If $\tan{x} =\sqrt{2}$, then numerical value of $\tan{2x}$ is:

The angle between the lines represented by $ x+y+7=0 , x-y+1=0$ is;

The eccentricity of $y=-8x^2$, is;

The number of ways of arranging all letters of a word is $5040$, then the word

$\int (x \ln{x} +x(\ln{x})^2)dx=?$

For what value of $\lambda$, the system $x + y + z = 6, x + 2y + 3z = 10, x + 2y + \lambda z = 12 $ is consistent

$\arctan(\sqrt{3})-\cot^{-1}(-\sqrt{3})$ is equal to;

$\lim_{{x \to 0}} \frac{\sin(x)}{x} = ?$

How many roots of equation $\sqrt{x+12}=-x$ does have

$(\frac{-1+\sqrt{3}i}{2})^8=?$

$i^{-25}$ is :

For what value of $c$ the equation $cxy+5x+3y+2=0$ represents are degenerated conic?

$\begin{bmatrix} 0 & 1 \\ -1 & 0 \\ \end{bmatrix} $ and $(xI_{2}+yA)^2=A$ then:

$\int \frac{1}{\sqrt{16+4x^2}}\,dx$

The principal solution of $\tan(x) = \sqrt{3}$

$\int_{-1}^{1} |2-3x| \,dx$=?

In a bag of 500 candies, the probability of getting a blue candy is $\frac{1}{25}$. How many blue candies would you expect to find in the bag?

A scholarship committee will award five scholarships totaling Rs. 10,000, and there will be a Rs. 200 difference between successive scholarships. What is the value of the first scholarship?

The domain of the function $f(x)=\sqrt{x^2-8x+12}$;

If in a hyperbola the distance between the foci is 10 and the transverse axis has length 8 , then length of the latusrectum

$-125 + 25 -5 + ...=?$

The equation of the straight line passing through the point $(3,2)$ and perpendicular to the line $5x-5y=10$ is;