If A=(\table 0 , \sin \alpha ; \sin \alpha , 0) and \det(A^{2}-\frac{1}{2} f)=0, then a possible value of \alpha is [17 Mar 2021 Shift 1]

JEE Main 17 March 2021 Shift 1 Solved Paper

Section: Mathematics

Question : 67 of 90

Marks: +1, -0

If A=(

0	sin‌α
sin‌α	0

) and det(A2−‌

f)=0, then a possible value of α is

[17 Mar 2021 Shift 1]

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sin2α	0
0	sin2α

1/2	0
0	1/2

sin2α−1/2	0
0	sin2α−1/2

sin2α−1/2	0
0	sin2α−1/2