Let P=[\table 3 , -1 , -2 ; 2 , 0 , \alpha ; 3 , -5 , 0], where \alpha \in R. Suppose Q=[q_{i j}] is a matrix satisfying P Q=k l_{3} for some non-zero k \in R. If q_{23}=-k \/ 8 and |Q|=\frac{k^{2}}{2}, then \alpha^{2}+k^{2} is equal to ............. . [24 Feb 2021 Shift 1]

JEE Main 24 Feb 2021 Shift 1 Solved Paper

Section: Mathematics

Question : 83 of 90

Marks: +1, -0

Let P=[

], where α∈R. Suppose Q=[qij] is a matrix satisfying PQ=kl3 for some non-zero k∈R. If q23=−k∕8 and |Q|=‌

, then α2+k2 is equal to ............. .

[24 Feb 2021 Shift 1]

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