Maximum bond angle is present in

The number of integer values of $m$,for which the $x$-coordinate of the point of intersection of the lines $3x + 4y = 9$ and $y = mx + 1$ is also an integer,is

If a gas expands at constant temperature,it indicates that

$Assertion\,(A):$ Audio signal of frequency $10 kHz$ cannot be transmitted over long distance without modulation.

$Reason\,(R):$ Length of the antenna required $\lambda /$, should have practical value.

$A$ uniform cylinder of length $L$ and mass $M$ having cross-sectional area $A$ is suspended,with its length vertical,from a fixed point by a massless spring such that it is half-submerged in a liquid of density $\sigma$ at equilibrium position. The extension $x_0$ of the spring when it is in equilibrium is:

The condition for the coaxial system $x^2+y^2+2\lambda x+c=0$,where $\lambda$ is a parameter and $c$ is a constant,to have distinct limiting points,is