Show that the determinant \left|\begin{array}{cc}x & \sin \\\\theta & \cos \theta \ - \sin \\\\theta & -x & 1 \ \cos \theta & 1 & x|\end{array} is independent of \theta.

CBSE Class 12 Math 2023 Delhi Set 3 Solved Paper - Question 9

SECTION - C

This section comprises of Short Answer (SA) type questions of 3 marks each.

Question : 9 of 12

Marks: +1, -0

Show that the determinant

{|\table x , sin \;θ , \cos θ ; - sin \;θ , -x , 1 ; \cos θ , 1 , x|}

is independent of

θ

Solution:

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