Inconsistent Pair of Linear Equations

Q.

The value of k for which the system of equations x+y-4=0 and 2x+ky=3 has no solution, is:

1. -2

2. 3

3. 2

4. ≠2

Q.

In the pair of equations $a_{1}x+b_{1}y+c_1=0$ and $a_{2}x+b_{2}y+c_2=0$,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne \frac{c_1}{c_2}$

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?

1. S2 only

2. S1 and S2

3. S1 only

4. S1 and S3

Q.

Given graph represents _______________ pair of linear equation having _____________solution(s).

1. Consistent, unique

2. Inconsistent , zero

3. Dependent, infinite

4. None of these

Q.

Which of the following pairs of linear equations is inconsistent?
$1.x+3y–5=0,2x+y=0$
$2.2x+y=1,2y=2–4x$
$3.2x–y=2,2y–4x=2$

1. $x+3y–5=0,2x+y=0$

2. $2x+y=1,2y=2–4x$

3. $2x–y=2,2y–4x=2$

4. All of the above.

Q. Which of the following pairs of equations is inconsistent?

1. $2x+3y=15;4x+7y=11$
2. $4x+y=12;8x+2y=24$
3. $x+2y=5;2x+4y=15$
4. $11y+3x=1;5y+2x=7$

Q.

When a system of linear equations has no solution, what does it mean?

1. The lines are parallel.

2. The lines are perpendicular to each other.

3. The lines intersect at a point.

4. The lines coincide.

Q. Parallel lines have .

1. one solution
2. no solution
3. 4 solutions

Q. lines do not intersect each other.

1. Non parallel
2. Parallel
3. coincident

Q. Parallel lines have no solution.

1. False
2. True

Q. $y=2x+4$ and are parallel lines.

1. $2y=4x+8$
2. $y=2$
3. $y=2x-3$