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CGP EDU Academic Team
Published on: August 13, 2026
If α & β are two distinct roots of the equation a tan θ + b sec θ = c, then prove that tan ( α + β ) = 
Text Solution
Verified by ExpertsThe correct answer is:
A
a tan θ + b sec θ = c
⇒ 
= 
⇒ b 2 
= c 2 + a 2 tan 2 θ – 2ac tan θ
⇒ tan 2 θ (b 2 – a 2 ) + 2ac tan θ + 
= 0
⇒ tan ( α + β ) = 
= 
= 
.
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