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Question

Mathematics Question on Matrices

Δ=∣sin2xcos2x1\[0.3em]cos2xsin2x1\[0.3em]−10122∣\Delta =\begin{vmatrix} sin^2x & cos^2x & 1 \\\[0.3em] cos^2x &sin^2x & 1 \\\[0.3em] -10 & 12& 2 \end{vmatrix}

A

0

B

12cos2x−10sin2x−212 cos ^2x-10sin^2x-2

C

12sin2x−10cos2x−212 sin ^2x-10cos^2x-2

D

10 sin 2x

Answer

0

Explanation

Solution

Operate C1+C2C_1 + C_2 Δ=∣1cos2x1 1sin2x1 2122∣=0\Delta = \begin{vmatrix}1&cos^{2}x&1\\\ 1&sin^{2}x&1\\\ 2&12&2\end{vmatrix} = 0 [∴ C1,C3\therefore \, C_1 , C_3 are identical]