Distance between Parallel Lines

Q. The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is

1. 
2. 
3. 
4. 

Q.

The distance between the parallel lines $8x+6y+5=0$ and $4x+3y-25=0$ is

1. 7/3

2. 9/2

3. 11/2

4. 5/4

Q. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+4y+5=0 and 3x+4y-5=0, is

1. 7 : 3
2. 3 : 7
3. 2 : 3
4. None of these

Q. The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is

1. 
2. 
3. 
4. 

Q.

The distance between the parallel lines $8x+6y+5=0$ and $4x+3y-25=0$ is

1. 7/3

2. 9/2

3. 11/2

4. 5/4

Q. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+4y+5=0 and 3x+4y-5=0, is

1. 2 : 3
2. None of these
3. 7 : 3
4. 3 : 7

Q. The lines 2x+3y=19 and 2x+3y+7=0 are equidistant from the line 2x+3y=6.

1. True
2. False

Q. The area of a square whose two sides lie on lines x+y=1 and x+y+2=0 will be .

1. $\frac{9}{2}sq.units$
2. $\frac{9}{4}sq.units$
3. $\frac{3}{2}sq.units$
4. $\frac{3}{4}sq.units$

Q. A line through $(0,-2)$ and is perpendicular to the line $5x-y+7=0$. Then the equation of the line parallel to it and at a distance of $3$ units from it is/are

1. $x+5y+10-3\sqrt{26}=0$
2. $x+5y+10-\sqrt{13}=0$
3. $x+5y+10+3\sqrt{26}=0$
4. $x+5y+10+\sqrt{13}=0$

Q. The distance between the lines $12x-5y+20=0$ and $12x-5y-6=0$ is

1. $5\text{units}$
2. $4\text{units}$
3. $2\text{units}$
4. $1\text{unit}$