Verified Solution • 2025–26 Session
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QJEEM19Ma9cb8: JEE Main 2019 Mathematics - Class 11 JEEM19Ma9cb8 Solution: If the system of linear equations x – 2y + kz = 1 2x + y + z =…
If the system of linear equations
x – 2y + kz = 1
2x + y + z = 2
3x – y – kz = 3
has a solution (x,y,z), z
x – 2y + kz = 1
2x + y + z = 2
3x – y – kz = 3
has a solution (x,y,z), z
Multiple Choice Options
- A 4x – 3y – 4 = 0
- B 3x – 4y – 1 = 0
- C 4x – 3y – 1 = 0
- D 3x – 4y – 4 = 0
Step-by-Step Verified Solution
x – 2y + kz = 1 ......(1)
2x + y + z = 2 .........(2)
3x – y – kz = 3 ........(3)
for locus of (x, y) add equation (1) + (3)
4x – 3y = 4
2x + y + z = 2 .........(2)
3x – y – kz = 3 ........(3)
for locus of (x, y) add equation (1) + (3)
4x – 3y = 4