For $x \in \mathbb{R}$,the range of $3 \cos (4x - 5) + 4$ lies in the interval

Genes that are involved in turning on or off the transcription of a set of structural genes are called:

If $x + by + c = 0$ is a normal to the parabola $y^2 = 12x$,then the complete set of all values of $c$ is -

$\int \sqrt{4 \cos ^2 x - 5 \sin ^2 x} \cos x \, dx =$

The solution of the differential equation $\frac{dy}{dx} = \frac{y}{x} + \frac{\phi(y/x)}{\phi'(y/x)}$ is

If ${z_r} = \cos \frac{{r\alpha }}{{{n^2}}} + i\sin \frac{{r\alpha }}{{{n^2}}},$ where $r = 1, 2, 3, \dots, n$,then $\mathop {\lim }\limits_{n \to \infty } \,{z_1}{z_2}{z_3}\dots{z_n}$ is equal to