Question

True or false?

(a) The equation of the x-axis is x = 0.

(b) The line x = 4 is parallel to y-axis

(c) The line y = 8 is perpendicular to x-axis.

(d) The lines x = y and x = − y are perpendicular to each other.

(e) The lines x = 9 and y = 9 are perpendicular to each other.

(f) The graph of y = x² is a straight line.

(g) The line y = 3x + 4 does not intersect x-axis.

(h) In a rectangular coordinate system, the coordinate axes are chosen such that they form a pair of perpendicular lines.

Answer 1

(a) The equation of the x-axis is y = 0.

The given statement is FALSE.

(b) A line of the form x = a is parallel to the y-axis.

The given statement is TRUE.

(c) A line of the form y = b is parallel to the x-axis.

The given statement is FALSE.

(d) The lines x = y and x = −y are perpendicular to each other.

The given statement is TRUE.

(e) The lines of the form x = a and y = b are perpendicular to each other.

The given statement is TRUE.

(f) The general equation of a straight line is of the form y = ax + b.

The given statement is FALSE.

(g) On substituting y = 0 in y = 3x + 4, we get:

The line y = 3x + 4 intersects the x-axis at .

The given statement is FALSE.

(h) In the rectangular coordinate system, the coordinate axes are perpendicular to each other.

The given statement is TRUE.