Exams › JEE Main › Maths
If | -2a a+b a+c | | b+a -2b b+c | = α(a+b)(b+c)(c+a) ≠ 0 | c+a b+c -2c | then α is equal to
- a + b + c
- abc
- 4
- 1
Correct answer: 4
Solution
The determinant of the given matrix can be calculated using properties of determinants and results in a factor of 4 when simplified, which matches the form α(a+b)(b+c)(c+a) where α must equal 4 for the equation to hold true.
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