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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
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Among the statements:
I :
\(
\begin{vmatrix}
1 & \cos\alpha & \cos\beta \\
\cos\alpha & 1 & \cos\gamma \\
\cos\beta & \cos\gamma & 1
\end{vmatrix}
=
\begin{vmatrix}
0 & \cos\alpha & \cos\beta \\
\cos\alpha & 0 & \cos\gamma \\
\cos\beta & \cos\gamma & 0
\end{vmatrix}
\),
then \( \cos^2\alpha + \cos^2\beta + \cos^2\gamma = \frac{3}{2} \), and
---
II :
\(
\begin{vmatrix}
x^2 + x & x + 1 & x - 2 \\
2x^2 + 3x - 1 & 3x & 3x - 3 \\
x^2 + 2x + 3 & 2x - 1 & 2x - 1
\end{vmatrix}
= px + q
\),
then \( p^2 = 196q^2 \)
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