Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If tan 
tan 
and sin 
, where P, Q, R, S, T ∈ N. Then find the sum of the areas of the triangle formed by sides whose lengths are equal to P, Q & T and rectangle formed by adjacent sides of length R & S.
Text Solution
Verified by ExpertsThe correct answer is:
8
(8)
tan 
= 2 – 
tan 
– 1 = 
sin 
⇒ P = 4 , Q = 3, R = 2, S = 1 & T = 5
Δ PQT is right angled triangle
∴ area = 
× 3 × 4 = 6
Area of rectangle = 2 × 1 = 2
∴ required sum = 6 + 2 = 8
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