For the given figure,if the block remains in an equilibrium position,find the frictional force between the block and the wall in $N$.

If the angle between the pair of lines $2x^2 + 2hxy + 2y^2 - x + y - 1 = 0$ is $\tan^{-1}(3/4)$ and $h$ is a positive rational number,then the point of intersection of these two lines is

The complete set of values of $x$ for which the function $f(x) = 2 \ln(x-2) - x^2 + 4x + 1$ is increasing is:

In humans,what is the ratio of the number of gametes produced from one male primary sex cell to the number of gametes produced from one female primary sex cell?

If a gas is compressed isothermally,then the r.m.s. velocity of the molecules

Cyclic hydrocarbon molecule $A$ has all the carbon and hydrogen atoms in a single plane. All the carbon-carbon bonds are of the same length,which is less than $1.54 \ \mathring{A}$ but more than $1.34 \ \mathring{A}$. The $C-C$ bond angle will be