Exams › JEE Main › Maths
If the system of equations 11x + y + λz = -5 2x + 3y + 5z = 3 8x - 19y - 39z = μ has infinitely many solutions, then λ^4 - μ is equal to
- 49
- 45
- 47
- 51
Correct answer: 47
Solution
For the system to have infinitely many solutions, the equations must be dependent, leading to a specific relationship between λ and μ. By analyzing the coefficients and applying the conditions for dependency, we find that λ^4 - μ equals 47.
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