Question

The pair of equations $x=a$ and $y=b$ graphically represents lines which are

• A. parallel
• B. coincident
• C. intersecting at (b,a)
• D. intersecting at (a,b)

Answer 1

The correct option is D intersecting at (a,b)

We know that $x=a$ represents a line which is parallel to y-axis and intersecting x-axis at (a, 0).

Similarly, $y=b$ represents a line parallel to x-axis and intersecting y-axis at (0, b).

$\Rightarrow$ x-axis and y-axis are perpendicular to each other, so $x=a$ and $x=a$, will also be perpendicular to each other and intersecting at (a, b) as shown in the figure.