Question
Mathematics Question on Solution of a Linear Equation
Consider the following three equations:
2x+3y+5z=9, 7x+3y-2z=8, 2x+3y+λz=μ
A. For λ ≠5, system will have a unique solution.
B. For λ=5, μ ≠ 9, system will have infinite solution.
C. If λ=5 and μ=9, system will have infinite solution.
D. For μ = 9, system will have no solution.
E. For λ = 5, system will have no solution.
Choose the correct answer from the options given below.
A
A, C only
B
B, D only
C
A, B, E only
D
A, C, E only
Answer
A, C, E only
Explanation
Solution
The Correct answer is option (D) : A, C, E only