jee-advanced 2000 Q30

jee-advanced · India · screening Complex Numbers Arithmetic Counting solutions or configurations satisfying a quadratic system

30. If $\mathrm { b } > \mathrm { a }$, then the equation $( \mathrm { x } - \mathrm { a } ) ( \mathrm { x } - \mathrm { b } ) - 1 = 0$ has:
(A) both roots in (a, b)
(B) both roots in ( $- ¥$, a)
(C) both roots in $( b , + ¥ )$
(D) one root in ( $- ¥$, a) and the other in ( $b , + \neq$ )

30. If $\mathrm { b } > \mathrm { a }$, then the equation $( \mathrm { x } - \mathrm { a } ) ( \mathrm { x } - \mathrm { b } ) - 1 = 0$ has:\\
(A) both roots in (a, b)\\
(B) both roots in ( $- ¥$, a)\\
(C) both roots in $( b , + ¥ )$\\
(D) one root in ( $- ¥$, a) and the other in ( $b , + \neq$ )\\

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