Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let a, b ∈ R be such that the function f given by f(x) = λ n |x| + bx 2 + ax, x ≠ 0 has extreme values at x = – 1 and x = 2.
Statement-1 : f has local maximum at x = – 1 and at x = 2.
Statement-2 : a = 
and b = 
.
Text Solution
Verified by ExpertsThe correct answer is:
B
f '(x) = 
+ 2bx + a
at x = – 1 –1 – 2b + a = 0
a – 2b = 1 ...(i)
at x = 2 
+ 4b + a = 0
a + 4b = 
...(ii)
On solving (i) and (ii) a = 
, b = 
f '(x) = 
= 
= 
So maxima at x = – 1, 2
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