Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $k <0$, then the number of roots of the equation $ke^x - x = 0$, is _____.

Correct Answer:
1
Explanation:

Consider the curves $y=ke^x, k <0$ and $y = x$. Clearly, these two curves intersect at exactly one point. So, the equation $k e^x -x = 0$ has only one root.