Question

Which point lies on the line $2x-3y=0$?

• A. S
• B. R
• C. Q
• D. P

Answer 1

The correct option is A S

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 2x - 3y = 0.

For P $\to$ 2(3) - 3(0) = 6 $\ne$ 0; P does not lie on the line 2x - 3y = 0.

For Q $\to$ 2(2) - 3(3) = -5 $\ne$ 0; Q does not lie on the line 2x - 3y = 0.
For R $\to$ 2(-1) - 3(1) = -5 ; R does not lie on the line 2x - 3y = 0.

For S $\to$ 2(-3) - 3(-2) = 0 ; S lies on the line 2x - 3y = 0.

$\therefore$ S lies on the line 2x - 3y = 0.