Question

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

(a) parallel
(b) coincident
(c) intersecting at (a, b)
(d) intersecting at (b, a)

Answer 1

The correct option is (c).

We have:
x = a is the line parallel to the y-axis at a distance a from it.
y = b is the line parallel to the x-axis at a distance b from it.
Thus, the two lines intersect at the point (a, b).

Thus, x = a and y = b represent two lines intersecting at (a, b).