Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let f(x) = 
, where g(t) = 
(1 + a tan x) t/x , a is positive constant, then
(i) If a is even prime number, then g(2) =
Correct Answers for Comprehension Sub-Questions
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i)c (ii)c (iii)c
Sol.
(i) g(t) = 
(1 + a tan x) t/x
g(t) = 
= 
g(t) = e ta = e ta
g(x) = e ax
a = 2, g(x) = e 2x
g(2) = e 4
(ii) f(x) = 
f(x) = 
x + ax 2 – x 3 = 0
f(x) = 
x e ax = 0
f(0) = 0
a ∈ (0, ∞ )
(iii) f ′ (0 + ) = 
= 
= 1
f ′ (0 – ) = 
= 
= 1
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