The equation of trajectory of a projectile is $y=10 x-\left(\frac{5}{9}\right) x^2$. If we assume $g=10 \ m/s^2$,the range of the projectile (in metres) is:

The curve given by $x + y = e^{xy}$ has a tangent parallel to the $y$-axis at the point

For a Poisson variate $X$, if $P(X=2)=3 P(X=3)$, then the mean of $X$ is :

What is the gas liberated when alkaline formaldehyde solution is treated with $H_2O_2$?

The quantum numbers $+1/2$ and $-1/2$ for the electron spin represent:

$A$ particle of mass $1 \times 10^{-26} \ kg$ and charge $1.6 \times 10^{-19} \ C$ travelling with a velocity $1.28 \times 10^6 \ ms^{-1}$ along the positive $X$-axis enters a region in which a uniform electric field $E$ and a uniform magnetic field of induction $B$ are present. If $E = -102.4 \times 10^3 \ \hat{k} \ NC^{-1}$ and $B = 8 \times 10^{-2} \ \hat{j} \ Wbm^{-2}$,the direction of motion of the particle is: