If \left|\begin{array}{ccc}\alpha & 3 & 4 \ 1 & 2 & 1 \ 1 & 4 & 1|\end{array}=0, then the value of \alpha is:

CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper - Question 5

Question : 5 of 38

Marks: +1, -0

{|\table α , 3 , 4 ; 1 , 2 , 1 ; 1 , 4 , 1|}=0

, then the value of

α

is:

Solution:

Explanation:

{{[\table α , 3 , 4 ; 1 , 2 , 1 ; 1 , 4 , 1 ]}=0}

⇒ α(2-4)-3(1-1)+4(4-2)=0

-2 α+8=0

α=4

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