Published by:
CGP EDU Academic Team
Published on: August 13, 2026
ABCD is a trapezium such that AB and CD are parallel and BC ⊥ CD. If ∠ ADB = θ , BC = p and CD = q, then AB is equal to :
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Let AB = x
tan ( π – θ – α ) = 
⇒ tan ( θ + α ) = 
⇒ q – x = p cot ( θ + α )
⇒ x = q – p cot ( θ + α )
= q – p 
= q – p 
= q – p 
= q – p 
⇒ x = 
⇒ AB = 
.
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