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Let R d ∈ , and ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ + + θ − − θ + θ − θ + − = d 2 2 ) sin ( d ) sin 2 ( 5 d 2 ) (sin 1 2 ) (sin d 4 2 A , ] 2 , 0 [ π ∈ θ . If the minimum value of det(A) is 8, then a value of d is -

1. – 7
2. ) 2 2 ( 2 +
3. – 5
4. ) 1 2 ( 2 + CAREER POINT CAREER POINT , CP Tower, IPIA, Road No.1, Kota (Raj.), : 0744-6630500 | www.ecareerpoint.com Email: info@cpil.in Page # 13 JEE Main Online

Correct answer: – 5

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