1.

Consider, f(x)=(x+2a)(x+a-4)(a in R), g(x)=k(x^(2)+x)+3k+x(k in R) and h(x)=(1-sin theta)x^(2)+2(1-sin theta)x-3 sin theta ( theta in R-(4n+1)(pi)/(2), n in I) If the quadratic equation h(x)=0 has both roots complex, then theta belongs to

Answer»

`(-(PI)/(2), (pi)/(2))`
`(0, (3PI)/(2))`
`((pi)/(6), (7pi)/(6))`
`((7pi)/(6), (11pi)/(6))`

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