Consistent Equation

Q.

We know that coincident lines have infinite solutions so find out which among the following pairs of lines are coincident.

1. $x-y=1$; $x+y=1$

2. $3x=5+2y$; $y=4x+1$

3. $x=\frac{11}{5}-\frac{2y}{5};y=\frac{11}{2}-\frac{5x}{2}$

4. None of the above

Q. The pair of lines and $2x-7y-5=0$ are consistent.

1. $x=3$
2. $x=1$
3. $x=2$

Q. Which of these pairs of lines are consistent?

1. x = 2; 2x - 7y - 5 = 0
2. 3y - 2x = 2; 2x - 3y = 2
3. $\sqrt{3}x-y=2;\sqrt{6}x-\sqrt{2}y=2$
4. $\frac{x}{3}+\frac{y}{2}=1;x+\frac{3y}{2}=1$
   

Q. Intersecting lines are consistent.

1. False
2. True

Q. Which of these pairs of lines are consistent?

1. x = 2; 2x - 7y - 5 = 0
2. 3y - 2x = 2; 2x - 3y = 2
3. $\sqrt{3}x-y=2;\sqrt{6}x-\sqrt{2}y=2$
4. $\frac{x}{3}+\frac{y}{2}=1;x+\frac{3y}{2}=1$
   

Q. Parallel lines are consistent.

1. True
2. False

Q. Draw the graph of y = 2x + 4. Use the graph to find the area between the line and the axes.
[3 Marks]