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JEE Advanced 2022 Paper 2

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Question : 9

Total: 54

Let PQRS be a quadrilateral in a plane, where QR=1,∠PQR=∠QRS=70∘,∠PQS=15∘ and ∠PRS=40∘
If ∠RPS=θ∘,PQ=α and PS=β, then the interval(s) that contain(s) the value of 4αβ‌sin‌θ∘ is/are

(0,√2)
(1,2)
(√2,3)
(2√2,3√2)

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