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Let PQRS be a quadrilateral in a plane ,...

Let PQRS be a quadrilateral in a plane , where QR = 1, `angle PQR = angle QRS =70^(@) , angle =15^(@) and angle PRS = 40^(@)` . If `angle RPS = theta^(@),PQ = alpha and PS = beta ` , then the interval (s) that contain (s) the value of `4 alpha beta sin theta^(@)` is/are .

A

`(0,sqrt(2))`

B

`(1,2)`

C

`(sqrt(2),3)`

D

`(2,sqrt(2),3sqrt(2))`

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