Question

Which point lies on the line $x+y=0$?

• A. P
• B. Q
• C. R
• D. S

Answer 1

The correct option is C R

A point lies on a line if its coordinates satisfy the equation of the line.

Coordinates of the given point are P (3,0), Q(2, 3), R(-1, 1) and S(-3, -2).

Substitute the values of x and y in the equation x + y = 0.

For P $\to$ 3 + 0 = 3 $\ne$ 0; P does not lie on the line x + y = 0.

For Q $\to$ 2 + 3 = 5 $\ne$ 0; Q does not lie on the line x + y = 0.

For R $\to$ (-1) + 1 = 0 ; R lies on the line x + y = 0.

For S $\to$ (-3) + (-2) = -5 $\ne$ 0; S does not lie on the line x + y = 0.

$\therefore$ R lies on the line x + y = 0.