Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
is a real root of the equation 
, then 
can be equal to
A
0
B
C
π
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Let f(x) = x 3 +3x – tan2
f'(x) = 3x 2 + 3 > 0 ∀ x ∈ R ⇒ f(x) is increasing and has exactly one real root
f(0) = – tan 2 = positive
f(–1) = – 1 – 3 – tan2 = – 4 – tan2 = negative
α lies between (–1,0)
Now, cot –1 α + cot –1 
– 
= cot– 1 α + π + tan –1 α – 
= π
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