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Using determinants, find the value of \( \lambda \) if the points \( (1, -5) \), \( (-4, 5) \), and \( (\lambda, 7) \) are collinear.
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For collinearity using determinants: If determinant of 3×3 matrix = 0, points lie on the same straight line.
Assam Board Class 12 - 2026
Assam Board Class 12
Updated On:
Mar 1, 2026
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If
\[ A = \begin{bmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 4 \end{bmatrix} \quad \text{and} \quad B = \begin{bmatrix} 1 & 0 & 0 \\ 0 & -2 & 0 \\ 0 & 0 & -3 \end{bmatrix} \]
then \( A^2 + B^2 = \underline{\hspace{2cm}} \)
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