Exams › JEE Main › Maths
If x, y, z are in arithmetic progression with common difference d, x ≠ 3d, and the determinant of the matrix | 3 4√2 x | | 4 5√2 y | is zero, then the value of k² is | 5 k z |
- 72
- 12
- 36
- 6
Correct answer: 72
Solution
The determinant of the matrix is zero, indicating that the rows are linearly dependent. Given that x, y, and z are in arithmetic progression, we can express y and z in terms of x and d, leading to a specific relationship that ultimately results in k² equating to 72.
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