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 – ½ and abscissa is 1 are – ½, 1.
(iv) A point lies on the 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.
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(i) Point (3, 0) lies in the first quadrant.
False
Justification:
The ordinate of the point (3, 0) is zero.
Hence, the point lies on the x-axis
(ii) Points (1, –1) and (–1, 1) lie in the same quadrant.
False
Justification:
(1, -1) lies in IV quadrant
(-1, 1) lies in II quadrant.
(iii) The coordinates of a point whose ordinate is – ½ and abscissa is 1 are – ½ , 1.
False
Justification:
The coordinates of a point whose ordinate is – ½ and abscissa is 1 is (1, -1/2).
(iv) A point lies on the y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0).
False
Justification:
A point lies on the y-axis at a distance of 2 units from the x-axis. Its coordinates are (0, 2).
(v) (–1, 7) is a point in the II quadrant.
True
Justification:
(–1, 7) is a point in the II quadrant.