Question

The point of the form $(a,a)$, where $a\ne 0$ lies on:

• A. $x$-axis
• B. $y$-axis
• C. The line $y=x$
• D. The line $y=-x$

Answer 1

The correct option is C

The line $y=x$

Explanation for the correct answer:

Option (C): The line $y=x$

Substituting the points in the respective equations:

The $x-axis$ and $y-axis$ have the equations $y=0$ and $x=0$ respectively,

but in the given point$(a,a)$, we are given the condition that$a\ne 0$, so it cannot lie on either of the coordinate axes.

In the line $y=x$, substituting the given point, we get:

$a=a$

Thus, the point lies on the line $y=x$.

Therefore, option (C) is the correct option.