Among the statements : I: If \left|\begin{array}{ccc}1 & \cos \alpha & \cos \beta \ \cos \alpha & 1 & \cos \gamma \ \cos \beta & \cos \gamma & 1|\end{array}=\left|\begin{array}{ccc}0 & \cos \alpha & \cos \beta \ \cos \alpha & 0 & \cos \gamma \ \cos \beta & \cos \gamma & 0|\end{array}, then \cos ^2 \alpha+\cos ^2 \beta+\cos ^2 \gamma=\frac{3}{2}, and II: If \left|\begin{array}{ccc}x^2+x & x+1 & x-2 \ 2 x^2+3 x-1 & 3 x & 3 x-3 \ x^2+2 x+3 & 2 x-1 & 2 x-1|\end{array}= p x+ q, then p ^2=196 q ^2, [23 Jan 2026 Shift 1]

Correct Answer is : both are false

Matrices and Determinants Part 4

Section: Mathematics

Question : 8 of 58

Marks: +1, -0

Among the statements :
I: If |

|=|

|,

then cos2α+cos2β+cos2γ=‌

,
and II: If |

|=px+q,

then p2=196q2,

[23 Jan 2026 Shift 1]

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