JEE Main 2026 Mathematics question
Let and det(A−αI)=0, where α is a real number. If the largest possible value of α is p, then the circle (x−p)²+(y−2p)²=320, intersects the co-ordinate axes at
Answer: (C)
Solution
The eigenvalues of A are 8, −8±2√6, so p = 8. The circle has centre (8,16) and radius √320. Its distance to the origin is exactly
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