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Q. The range of $p$ for which the equation $e ^{ x }= px$ has two real solutions is

Relations and Functions - Part 2

Solution:

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$\frac{ e ^{ x }}{ x }= e ^{ x } \Rightarrow x =1 $
$\Rightarrow m = e $
$\therefore \text { for two real solution } p \in( e , \infty)$