Question

The point of the form $(a,a)$ always lies on:

• A. $x$-axis
• B. $y$-axis
• C. On the line $y=x$
• D. On the line $x+y=0$

Answer 1

The correct option is C On the line $y=x$

Let us take some points of the form $(a,a)$.

They may be $(a,a)$ or $(b,b)$ or $(c,c)$ and so on.

We see that the ordinate is always equal to the abscissa.

$\therefore$ the equation of such line will be $x=y$.

The point of the form $(a,a)$ will always lie on the $x=y$.

Hence, option C is correct answer.