Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Number of solution of equation |x –1| = e x is-
Text Solution
Verified by ExpertsThe correct answer is:
D
Solve the equation:
Case 1: 
Let 
At 
: 
Derivative: 
for all 
So 
is always decreasing and already negative → no solution in this case.
Case 2: 
Let 
As 
: 
At 
: 
Derivative: 
strictly decreasing
So it crosses zero exactly once.
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