Why does the type of overlap shown in the following figure not result in bond formation? Explain.

(N/A) In figure $(i)$,the $s$-orbital overlaps with both lobes of the $p_x$-orbital. The overlap between the $s$-orbital and the positive lobe of the $p_x$-orbital is positive,while the overlap with the negative lobe is negative. Since these two overlaps are equal in magnitude and opposite in sign,the net overlap is zero,preventing bond formation.
In figure $(ii)$,the $p_x$-orbital and $p_y$-orbital have different symmetries with respect to the internuclear axis ($z$-axis). Due to this mismatch in symmetry,they cannot overlap effectively to form a bond.