Two forces `(vec(P)+vec(Q))and(vec(P)-vec(Q))` where `vec(P)botvec(Q)` ,when act at an angle `theta_(1)` to each other. the magnitude of their resultant is `sqrt(3(p^(2)+Q^(2))` , when they act at an angle `theta_(2)` ,the magnitude of their resultant bocomes `sqrt(2(P^(2)+Q^(2))` .The possible only when `theta_(1)lttheta_(2)`.
Statement II : In the situation given above .
`theta_(1)=60^(@)andtheta_(2)=90^(@)`
In the light of the above statements choose the most appropriate answer from the options given below :

Options

A. Both Statement I and Statement II are false
B. Statement I is false but Statement II is true .
C. Both Statement I and Statement II are true.
D. Statement I is true but Statement II is false .