Nature of 2 Straight Lines in a Plane

Q. Represent the following equations graphically:
$x+y=10$
$10x+y+10y+x=110$

1. 
2. 
3. 
4. None of these

Q.

Which of the following pair of linear equations has infinite solutions?

1. $x+2y=7$; $3x+6y=21$
2. $4x+3y=7$; $3x+6y=25$
3. $y+2x=10$; $11x+6y=21$
4. $\frac{1}{2}x+2y=\frac{7}{11}$; $x+6y=21$

Q. Which of the following pair of lines are parallel to each other?

1. $x+7y=6$; $2x+14y=12$
2. $5x+7y=12$; $2x+14y=12$
3. $x+2y=7$; $3x+6y=28$
4. $11x+2y=4$; $3x+6y=10$

Q.

Which of the following pair of linear equations has infinite solutions?

1. $x+2y=7$; $3x+6y=21$
2. $4x+3y=7$; $3x+6y=25$
3. $y+2x=10$; $11x+6y=21$
4. $\frac{1}{2}x+2y=\frac{7}{11}$; $x+6y=21$

Q. Represent the following equations graphically:
$x+y=10$
$10x+y+10y+x=110$

1. 
2. 
3. 
4. None of these

Q. Which of the following pair of lines are parallel to each other?

1. $5x+7y=12$; $2x+14y=12$
2. $x+7y=6$; $2x+14y=12$
3. $x+2y=7$; $3x+6y=28$
4. $11x+2y=4$; $3x+6y=10$

Q.

Which of the following pair of linear equations has infinite solutions?

1. $4x+3y=7$; $3x+6y=25$
2. $x+2y=7$; $3x+6y=21$
3. $y+2x=10$; $11x+6y=21$
4. $\frac{1}{2}x+2y=\frac{7}{11}$; $x+6y=21$

Q. Which of the following pair of lines are parallel to each other?

1. $5x+7y=12$; $2x+14y=12$
2. $x+7y=6$; $2x+14y=12$
3. $x+2y=7$; $3x+6y=28$
4. $11x+2y=4$; $3x+6y=10$

Q. Coincident lines have infinite solutions.

1. False
2. True

Q. $x+y=30$ and are coincident lines.

1. $4x+5y=150$
2. $5x+5y=150$
3. $5x+5y=15$