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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 values of theta which are well behaved, intelligent adn handsome is :

Answer»

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

Answer :B


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