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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 -

1. θ + θ + sin q cos p q p 2 2 2 2
2. 2 2 2 ) sin q cos p ( sin ) q p ( θ + θ θ +
3. θ + θ θ + sin q cos p sin ) q p ( 2 2
4. θ + θ θ + sin q cos p cos q p 2 2

Correct answer: θ + θ θ + sin q cos p sin ) q p ( 2 2

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