Question

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

• A. Parallel
• B. Intersecting at $(b,a)$
• C. Coincident
• D. Intersecting at $(a,b)$

Answer 1

The correct option is D

Intersecting at $(a,b)$

The explanation for the correct option.

First, we have to draw the pair of equations $x=a$ and $y=b$ on the graph, which is shown below,

From the graph, it is observed that both lines intersect at $(a,b)$.

Hence, the option $\left(D\right)$ is correct.