Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If (m + 2) sin θ + (2m – 1) cos θ = 2m + 1 then
A
tan θ = 
B
tan θ = 
C
tan θ = 
D
tan θ = 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(c,d)(m+2) 
+ (2m–1) 
=2m+1
Let tan 
=K
⇒ 2 (m+2) K + (2m–1)(1–K 2 ) = (2m+1) (1+K 2 )
⇒ K 2 (4m) – 2 (m+2)K + 2 = 0
⇒ 2mK 2 – (m+2)K + 1 = 0
⇒ K = 
, 
Now tan θ = 
= 
or 
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