JEE Main 2026 · Session 2 · Shift 1 · Mathematics

Question 4

Let A = [[1, 2], [1, α]] and B = [[3, 3], [β, 2]]. If A² − 4A + I = O and B² − 5B − 6I = O, then among the two statements: (S1): [(B−A)(B+A)]ᵀ = [[13, 15], [7, 10]] and (S2): det(adj(A+B)) = −5,

• A. only (S1) is correct
• B. only (S2) is correctCorrect answer
• C. both (S1) and (S2) are correct
• D. both (S1) and (S2) are wrong

Not yet checked by a person: transcribed from the official question paper and matched against NTA’s official answer key by the question’s own ID on 16 September 2026, never worked out independently. Spotted a mistake? Tell us and we’ll fix it. No explanation is published here yet.