Comparing the Ratios of Coefficients of LE

Q.

For what value of k, the system of equations $x+2y=5,3x+ky+15=0$ has a unique solution?

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Q. The pair of linear equations $2x+5y=-11and5x+15y=-44$ have

1. Many solutions
2. No solutions
3. One solutions
4. Two solutions

Q.

$\frac{x}{5}+\frac{y}{3}=1$ and $\frac{x}{k}+\frac{y}{m}=1$. Choose the correct statement.

1. for k≠ 3m/5 a unique solution exists

2. for k = 3ml/5 , infinitely many solutions exists.

3. for k = 5m/3 , infinitely many solutions exist.

4. for k = 5m/3, a unique solution exists

Q. Find the value of k for which following system of equations have infinitely many solutions
$2x+3y-5=0$
$6x+ky-15=0$

1. k = 2
2. k = 3
3. k = 4
4. k = 9

Q. For what value of k, will the following system of equations have infinitely many solutions?
$2x+3y=4,(k+2)x+6y=3k+2$

1. k = 4
2. k = 2
3. k = 3
4. k = 5