Correct Answer - b
Average velocity =`("Displacement")/("Time")`
`v_(av)=(sqrt(H^(2)+(R^(2))/4))/(T//2)`.......(i)
here, H=maximum height `=(v^(2)sin^(2) theta)/(2g)`
R=range `=(v^(2)sin2 theta)/g`
and T=time of flight =`(2v sin theta)/g`
`v_(av)=v/2sqrt(1+3cos^(2) theta)`