If a continuous function f defined on the real line R ; assumes positive and negative…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If a continuous function f defined on the real line R; assumes positive and negative values in R then the equation f (x) = 0 has a root in R. For example, if it is known that a continuous function f on R is positive at some point and its minimum value is negative then the equation f (x) = 0 has a root in R.
Consider f (x) = kex – x for all real x where k is a real constant.
For k > 0, the set of all values of k for which kex – x = 0 has two distinct roots is
Consider f (x) = kex – x for all real x where k is a real constant.
For k > 0, the set of all values of k for which kex – x = 0 has two distinct roots is
- (0, 1)
Answer
(A)
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