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.

(a) False

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

(b) True

The y coordinate is 0 and x is constant, so value of y will remain same for this line, so it will be parallel to y axis.

(c) False

Since, x coordinate is 0 and y is constant implies that the line y=8 is parallel to x-axis.

(d) True

Since the multiplication of slope of both the equation is -1, implies that the lines are perpendicular to each other.

(e) True

Since, the one is parallel to horizontal axis and other one is parallel to the vertical axis implies that the both the lines are perpendicular as the axes are perpendicular too.

(f) False

Since, y will always be positive implies that the graph will be a V- shaped graph lying in first and second quadrant.

(g) False

Since, for y=0, and this the point where line intersect x-axis.

(h) True

Since, property of rectangle states that all the angles of a rectangle are 90°.