Comprehension: : Let \( t \) be areal numbersatisfying \( 2 t^{3}-9 t^{2}+30-\lambda=0 \) where ...

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Comprehension:
: Let \( t \) be areal numbersatisfying
\( 2 t^{3}-9 t^{2}+30-\lambda=0 \) where \( t=x+\frac{1}{x} \) and \( \lambda \in R \) then
If the cubic equation has exactly two real and distinct roots of \( x \) then exhaustive set of values of \( \lambda \) is
(a) \( \lambda \in(-\infty, 3) \cup(30, \infty) \)
(b) \( \lambda \in(-\infty,-22) \cup(10, \infty) \cup\{3\} \)
(c) \( \lambda \in\{3,30\} \)
(d) \( (3,10) \)
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