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Practice each question, then open the answer or worked solution.
The points (–5, 2) and (2, – 5) lie in the
A. same quadrant
B. II and III quadrants, respectively
C. II and IV quadrants, respectively
D. IV and II quadrants, respectively
C. on x-axis
Explanation:
(-5,2) is of the form (-x,y) so it lies in the II quadrant.
(2,-5) is of the form (x,-y) so it lies in IV quadrant.
(C) II and IV quadrants, respectively
Hence, (C) is the correct option.
If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies in the negative direction of the x-axis, then point P has
A. x – coordinate = – 5
B. y – coordinate = 5 only
C. y – coordinate = – 5 only
D. y – coordinate = 5 or –5
D. y – coordinate = 5 or –5
Explanation:
Perpendicular distance from x-axis = Ordinate = 5
The negative direction of the x-axis doesn’t decide the sign of the ordinate.
(D) y-coordinate = 5 or -5.
Hence, (D) is the correct option.