The Cartesian form of the polar equation $\theta = \tan^{-1} 2$ is

If $y = \frac{3}{4} + \frac{3 \cdot 5}{4 \cdot 8} + \frac{3 \cdot 5 \cdot 7}{4 \cdot 8 \cdot 12} + \ldots \infty$,then:

$A$ patient who excretes a large quantity of sodium in urine has:

Which one of the following characteristics of the transition metals is associated with their catalytic activity?

At a certain temperature,$\operatorname{rod} A$ and $\operatorname{rod} B$ of different materials have lengths $L_A$ and $L_B$ respectively. Their coefficients of linear expansion are $\alpha_A$ and $\alpha_B$ respectively. It is observed that the difference between their lengths remains constant at all temperatures. The ratio $L_{A}: L_{B}$ is given by

Nitrogen fixation in the root nodules of $Alnus$ is performed by: