IIT-JEE Exam

For k > 0, the set of all values of k for which k ex - x = 0 has two distinct roots is??

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IIT-JEE Other Question

The positive value of k for which kex -x = 0 has only one root is (A) If -1 < x < 1, then f(x) satisfies (p) 0 < f(x) < 1
(B) If 1 < x < 2, then f(x) satisfies (q) f(x) < 0
(C) If 3 < x < 5, then f(x) satisfies (r) f(x) > 0
(D) If x > 5, then f(x) satisfies (s) f(x) < 1