Which of the following pairs is correctly matched?
$(i)$. Fungi - Regeneration
$(ii)$. Mosses - Fragmentation
$(iii)$. Planaria - Budding

Observe the following statements:
$I$. If $dy + 2xy dx = 2e^{-x^2} dx$, then $ye^{x^2} = 2x + c$.
$II$. If $ye^{-x^2} - 2x = c$, then $dx = (2e^{-x^2} - 2xy) dy$.
Which of the following is a correct statement?

Bayer's process is used for the purification of Bauxite containing which of the following as a major impurity?

The first diffraction minimum due to a single slit diffraction is seen at $\theta = 30^o$ for light of wavelength $5000 \, \mathring{A}$ falling perpendicularly on the slit. The width of the slit is

The polar equation of the line perpendicular to the line $\sin \theta - \cos \theta = \frac{1}{r}$ and passing through the point $\left(2, \frac{\pi}{6}\right)$ is

The phase difference between input and output voltage of a $CE$ circuit is.......$^o$