Write whether the following statements are True or False. Justify your answer.

(ii) Points (1, –1) and (–1, 1) lie in the same quadrant.

The following assertion is untrue.

The following is a representation of the coordinates of points in the quadrants:

Quadrant 1 : (+x, +y)

Quadrant 2 : (-x, +y)

Quadrant 3 : (-x, -y)

Quadrant 4 : (+x, -y)

(1, -1) lies in the IV quadrant

(-1, 1) lies in the II quadrant.

(iii) The coordinates of a point whose ordinate is – ½ and abscissa are 1 are – 1/2, 1.

The following assertion is False

The form of the cartesian coordinates is (x, y). The abscissa and ordinate are the names for the ordered pairings in the two-dimensional plane.

The ordered pair's first number is referred to as the abcissa. In other words, the abscissa is the value of x in the ordered pair. It is any point on the plane's separation from the y-axis.

Ordinate: The ordinate is the second number in the ordered pair. It uses y's value. Any point on the plane's ordinate is measured in relation to the x-axis.

The coordinates of a point whose ordinate is – ½ and abscissa are 1 are (1, -1/2).

(iv) A point on the y-axis is located two units away from the x-axis. Its location is at (2, 0).

The following assertion is untrue.

A point on the y-axis is located two units away from the x-axis. Its location is at (0, 2).

(–1, 7) is a point in the II quadrant.

The provided statement is accurate Justification:

The following is a representation of the coordinates of points in the quadrants:

Quadrant 1 : (+x, +y)

Quadrant 2 : (-x, +y)

Quadrant 3 : (-x, -y)

Quadrant 4 : (+x, -y)

(–1, 7) is a point in the II quadrant.

Summary:

Write whether the following statements are True or False. Justify your answer. (i) Point (3, 0) lies in the first quadrant. (ii) Points (1, -1) and (-1, 1) lie in the same quadrant. (iii) The coordinates of a point whose ordinate is - 1/2 and abscissa are 1 are - 1/2, 1. (iv) A point lies on y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0). (v) (-1, 7) is a point in the II quadrant.

The statements:

(i) Point (3, 0) lies in the first quadrant and is false

(ii) Points (1, -1) and (-1, 1) lie in the same quadrant is false

(iii) The coordinates of a point whose ordinate is - 1/2 and abscissa are 1 are - 1/2, 1 is false.

(iv) A point lies on the y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0) is false

(v) (-1, 7) is a point in the II quadrant that is true.