The value of ` theta ` , lying between ` theta =0 and theta=(pi)/(2)` and satisfying the equation . `|{:(1+ cos^(2 ) theta , sin^(2) theta , 4 sin 4 theta ),(cos^(2) theta , 1+sin^2 theta , 4 sin 4 theta ),(cos^(2) theta , sin^(2) theta , 1+ 4 sin 4 theta ):}|=0 , is `

Options

A. `(11pi)/(24), (7pi)/(24)`
B. `(7pi)/(24), (5pi)/(24)`
C. `(5pi)/(24), (pi)/(24)`
D. `(pi)/(24), (11pi)/(24)`

Answer

A