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CGP EDU Academic Team
Published on: August 13, 2026
If the function f(x) = 2 tan x + (2a +1) log e |secx | + (a –2) x is increasing on R, then-
Text Solution
Verified by ExpertsThe correct answer is:
C
St. increasing ⇒ f ′ (x) ≥ 0
⇒ 2 sec 2 x + (2a +1) tan x + (a –2) ≥ 0
⇒ 2 tan 2 x + (2a +1) tan x + a ≥ 0 ⇒ (2a +1) 2 –8a ≤ 0
⇒ (2a –1) 2 ≤ 0 ⇒ 2a –1 = 0 ⇒ a = ½
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