Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If the function f(x) =
, where t is a parameter that has a minimum and maximum, then the range of value of t is
Text Solution
Verified by ExpertsThe correct answer is:
C
f(x) =
;
f ′ (x) = 
for max. or min. f ′ (x) = 0
–2x 2 + 11x –12 –t –3x + x 2 = 0
–x 2 + 8x – (12 + t) = 0
for one maxima & minima
D > 064 – 4 (12 + t) > 0
16 – 12 – t > 0 ⇒ 4 > t or t < 4
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