Question

A student marked three points randomly on a Cartesian plane and noted down their coordinates. Which of the following are correct?

• A. $A(3,-2),B(-2,-3),C(3,3)$
• B. $A(3,2),B(3,-2),C(-3,-3)$
• C. $A(-3,2),B(2,-3),C(3,-3)$
• D. $A(3,2),B(2,-3),C(-3,-3)$

Answer 1

The correct option is D $A(3,2),B(2,-3),C(-3,-3)$


Distance of Point A from the y-axis in right direction $=3$
Distance of Point A from the x-axis in upward direction $=2$
Therefore, the coordinates of Point A are $(3,2)$.

Distance of Point B from the y-axis in right direction $=2$
Distance of Point B from the x-axis in downward direction $=3$
Therefore, the coordinates of Point C are $(2,-3)$.

Distance of Point C from the y-axis in left direction $=3$
Distance of Point C from the x-axis in downward direction $=3$
Therefore, the coordinates of Point C are $(-3,-3)$.

Distance can never be negative, and the negative sign only represents the direction of the point from the axis.
Therefore, $A(3,2),B(2,-3),C(-3,-3)$ is the right answer.