1.

theta is said to be well behaved if it lies in interval [0,(pi)/(2)]. They are intelligent if they make domain of f +g and g equal. The vlaue of theta for which h (theta) is defined are handosome. Let f (x)= sqrt(thetax ^(2) -2 (theta^(2) -3) x-12theta,) g (x)=ln (x^(2) -49), h (theta) ln [int_(0)^(theta) 4 cos ^(2)t dt - theta ^(2)], where theta isin radians. Complete set of alues of theta which are intelligent is :

Answer»

`[(6)/(7) , (7)/(2)]`
`(0, (PI)/(3)]`
`[(1)/(4), (6)/(7)]`
`[(1)/(2), (pi)/(2)]`

ANSWER :A


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