Question:medium
Let \(A = \begin{bmatrix} 1 & 2 & 7 \\ 4 & -2 & 8 \\ 3 & 8 & -7 \end{bmatrix}\) and \(\det(A - \alpha I) = 0\), where \(\alpha\) is a real number. If the largest possible value of \(\alpha\) is \(p\), then the circle \((x - p)^2 + (y - 2p)^2 = 320\), intersects the co-ordinate axes at:
Let \(A = \begin{bmatrix} 1 & 2 & 7 \\ 4 & -2 & 8 \\ 3 & 8 & -7 \end{bmatrix}\) and \(\det(A - \alpha I) = 0\), where \(\alpha\) is a real number. If the largest possible value of \(\alpha\) is \(p\), then the circle \((x - p)^2 + (y - 2p)^2 = 320\), intersects the co-ordinate axes at:
Updated On: Apr 10, 2026
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The Correct Option is C
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