State whether the following statements are true / false.

i. (5, 7) is a point in the IV quadrant.

ii. (−2, −7) is a point in the III quadrant.

iii. (8, −7) lies below the x–axis.

iv. (5, 2) and (−7, 2) are points on the line parallel to y–axis.

v. (−5, 2) lies to the left of y–axis.

vi. (0, 3) is a point on x–axis.

vii. (−2, 3) lies in the II quadrant.

viii. (−10, 0) is a point on x–axis.

ix. (−2, −4) lies above x–axis.

x. For any point on the x–axis its y–coordinate is zero.

i. (5,7) is point in the IV quadrant.

False

Reason: X –coordinate(abscissa) and y –coordinate (ordinate) both are positive. When both are positives, then they lie in the I quadrant.

ii. (–2, –7) is point in the III quadrant.

True

Reason: X–coordinate (Abscissa) and y –coordinate (ordinate) both are negative. When both are negatives, then they lie in the III quadrant.

iii. (8, −7) lies below the x–axis.

True

Reason: x – coordinate (Abscissa) is positive and y – coordinate (ordinate) is negative. Hence, this point lies in the IV quadrant. IV quadrant is the area below the x–axis.

iv. (5, 2) and (–7, 2) are points on the line parallel to y–axis.

False

Reason: (5, 2) and (–7, 2) are the line parallel to x–axis. Because, for any points to lie on line parallel to y–axis, the x–coordinates should be same. Hence, these points cannot lie on the line parallel to y–axis.

v. (–5, 2) lies to the left of y–axis.

True

Reason: x – coordinate (Abscissa) is negative and y – coordinate (ordinate) is positive. Hence, this point lies in the II quadrant. II quadrant is the area left of y–axis.

vi. (0, 3) is point on x–axis.

False

Reason: For any point on x–axis, the value of y–coordinate(ordinate) is 0. Hence, this point does not lie on x–axis.

vii. (–2, 3) lies in the II quadrant.

True

Reason: X – coordinate (Abscissa) is negative and y – coordinate (ordinate) is positive. Hence, this point lies in the II quadrant.

viii. (–10, 0) is point on x–axis.

True

Reason: For any point on the x–axis, the value of y–coordinate is zero. Hence, this point lies on the x–axis.

ix. (–2, –4) lies above x–axis

False

Reason: When both coordinates, i.e., x–coordinate and y–coordinate are negative, the point lies in the III quadrant. Therefore (–2, –4) lies in the III quadrant, which is below the axis.

x. For any point on the x–axis its y–coordinate is zero.

True