the point of the form of (a,-a),a≠0 lies on.
Answers
Step-by-step explanation:
Coordinates
Option (a): x-axis
As we know that the points lying on the x-axis is of the form (x, 0), where x can be either positive or negative
Given, a is non-zero.
Option (a) is not correct.
Option (b): y-axis
As we know that the points lying on the y-axis is of the form (0, y), where y can be either positive or negative
Given, a is non-zero.
Option (b) is not correct.
Option (c): the line y = x
The points of the form (x, x) or (y, y) lies on the line y = x, where x and y values are the same.
Though given a is non-zero, the points lies of the form (a, a) lies on the line y = x, except the origin (0, 0).
Option (c) is correct.
Option (d): the line x + y = 0
The point (x, - x) lies on the line x + y = 0
Given a is non-zero and both x and y coordinates are the same, but on the line x + y = 0, except for the origin, the other points do not have same coordinates.
Option (d) is not correct.
Answer: Option (c) the line y = x.