IIT-JEE Exam

For k > 0, the set of all values of k for which k e^x − 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) 1/e (B) 1
(C) e (D) loge2 match
Two intersecting circles (p) have a common tangent
(B) Two mutually external circles (q) have a common normal
(C) two circles, one strictly inside the other (r) do not have a common tangent
(D) two branches of a hyperbola (s) do not have a common normal