Question 6 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 14, 2026 by Teachoo

[MCQ] Value of the determinant |(cos 67∘sin 67 sin 23∘cos 23∘)| is - CBSE Class 12 Sample Paper for 2026 Boards

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Question 6 Value of the determinant |■(cos 67^∘&sin 67^∘@sin 23^∘&cos 23^∘ )| is (A) 0 (B) 1/2 (C) √3/2 (D) 1Now, |■(cos 67^∘&sin 67^∘@sin 23^∘&cos 23^∘ )| =cos⁡〖67° 〗 cos⁡〖23° 〗−sin⁡〖23° 〗 sin⁡〖67° 〗 Using cos (A + B) = cos A cos B – sin A sin B =𝒄𝒐𝒔⁡〖(𝟔𝟕°+𝟐𝟑°)〗 =cos⁡〖90° 〗 =𝟎 So, the correct answer is (A)

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