Exams › JEE Advanced › Maths
If the system x + y + z = 6, 2x + 5y + alpha*z = beta, x + 2y + 3z = 14 has infinitely many solutions, find alpha + beta.
- 8
- 36
- 44
- 48
Correct answer: 44
Solution
The determinant condition gives alpha = 8, and consistency gives beta = 36, so alpha + beta = 44.
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