Theory of Equations 5 Question 14

14. The line $y=x$ meets $y=k e^{x}$ for $k \leq 0$ at

(a) no point

(b) one point

(c) two points

(d) more than two points

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Answer:

Correct Answer: 14. (b)

Solution:

  1. Let $y=x$ intersect the curve $y=k e^{x}$ at exactly one point when $k \leq 0$.



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