State, true or false :

(i) The ordinate of a point is its x-co-ordinate.

(ii) The origin is in the first quadrant.

(iii) The y-axis is the vertical number line.

(iv) Every point is located in one of the four quadrants.

(v) If the ordinate of a point is equal to its abscissa; the point lies either in the first quadrant or in the second quadrant.

(vi) The origin (0, 0) lies on the x-axis.

(vii) The point (a, b) lies on the y-axis if b = 0.

(i) False

Reason :

The ordinate is the y-co-ordinate of a point.

(ii) False

Reason :

The origin (0, 0) is the point where the x-axis and y-axis intersect.

(iii) True

Reason :

The y-axis is the vertical number line and the x-axis is the horizontal number line in the coordinate plane.

(iv) False

Reason :

Points that lie on the x-axis or y-axis are not located in any of the four quadrants.

(v) False

Reason :

If the ordinate (y-coordinate) equals the abscissa (x-coordinate), (x = y), the point lies either in the first quadrant (x > 0, y > 0) or the third quadrant (x < 0, y < 0).

(vi) True

Reason :

The origin (0, 0) lies on both the x-axis and y-axis, as it is the intersection point of the two axes.

(vii) False

Reason :

The point (a, b) lies on the y-axis if the x-coordinate a = 0, not b = 0.