Published by:
CGP EDU Academic Team
Published on: August 12, 2026
(a + 2) sin α + (2a – 1) cos α = (2a + 1) if tan α =
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b,d)
Let tan 
= t ⇒ (a + 2) 2 t + (2a – 1) (1 – t 2 ) = (2a + 1) (t 2 + 1)
⇒ 2a t + 4t + 2a – 2a t 2 – 1 + t 2 = 2a + 1 + 2a t 2 + t 2
⇒ 4 a t 2 – 2 t (2 + a) + 2 = 0 ⇒ 2 a t 2 – 2t – a t + 1 = 0
⇒ 2t (at – 1) – 1 (at – 1) = 0 ⇒ t = 1/2 , t = 1/a
⇒ tan α = 
⇒ tan α = 
= 4/3
or tan α = 
= 
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