Question

the point of the form (a,a) where a≠0 lies on

(a) x-axis
(b) Y-axis
(c) the line y=x
(d) the line x+y=0

Answer 1

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.

Answer 2

Answer:

correct answer is option c)