Published by:
CGP EDU Academic Team
Published on: August 13, 2026
In a right angled triangle acute angle α, β satisfy tan α + tan β + tan 2 α + tan 2 β = 4, if hypotenuse is of length d then area of Δ is-
A
d 2
B
C
D
d 2
Text Solution
Verified by ExpertsThe correct answer is:
C
α + β = 90 0 ∴ tan α + cot α + tan
2 β + cot 2 β = 4
Let tan α = t
∴ t + 
+ t 2 + 
= 4
∴ t = 1 satisfy
α = β = 45 0 So area is 
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