Inconsistent Pair of Linear Equations
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The value of k for which the system of equations x+y-4=0 and 2x+ky=3 has no solution, is:
-2
3
2
≠2
In the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0,
a1a2=b1b2≠c1c2
Statement 1 : This is an inconsistent pair of linear equations.
Statement 2 : There exists infinitely many solutions.
Statement 3 : The lines representing these linese are parallel.
Which of the above statements is/are true?
S2 only
S1 and S2
S1 only
S1 and S3
Given graph represents _______________ pair of linear equation having _____________solution(s).
Consistent, unique
Inconsistent , zero
Dependent, infinite
None of these
Which of the following pairs of linear equations is inconsistent?
1. x+3y–5=0, 2x+y=0
2. 2x+y=1, 2y=2–4x
3. 2x–y=2, 2y–4x=2
x+3y–5=0, 2x+y=0
2x+y=1, 2y=2–4x
2x–y=2, 2y–4x=2
- All of the above.
- 2x+3y=15;4x+7y=11
- 4x+y=12;8x+2y=24
- x+2y=5;2x+4y=15
- 11y+3x=1;5y+2x=7
When a system of linear equations has no solution, what does it mean?
The lines are parallel.
The lines are perpendicular to each other.
The lines intersect at a point.
The lines coincide.
- one solution
- no solution
- 4 solutions
- Non parallel
- Parallel
- coincident
- False
- True
- 2y=4x+8
- y=2
- y=2x−3