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Assertion (A) : For matrix \(\mathrm{A}=\left[\begin{array}{ccc}1 & \cos \theta & 1 \\ -\cos \theta & 1 &amp…

Q1

Assertion (A) : For matrix \(\mathrm{A}=\left[\begin{array}{ccc}1 & \cos \theta & 1 \\ -\cos \theta & 1 & \cos \theta \\ -1 & -\cos \theta & 1\end{array}\right]\), where \(\theta \in[0,2 \pi]\), \(|\mathrm{A}| \in[2,4]\).
Reason \((R): \quad \cos \theta \in[-1,1], \forall \theta \in[0,2 \pi]\).

a

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).

b

Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

c

Assertion (A) is true, but Reason (R) is false.

d

Assertion (A) is false, but Reason (R) is true.

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