Question

From P (-3,2), the foot of a perpendicular drawn on the Y axis is M. The coordinates of M are?
A. $(3,0)$
B. $(0,2)$
C. $(\dfrac{3}{2},1)$
D. $( - 3,2)$

Answer 1

Hint: As the question says foot of the perpendicular drawn on the y axis that means x coordinates will be zero. We have point P (-3, 2) which is (${x_1},{y_1}$) on the y -axis. Point P is the consent point here.

Complete step-by-step answer:
We have point P (-3, 2)
Question mention that the foot of the perpendicular is drawn on the y-axis, then x-axis coordinates of the point drawn will be ${x_2} = 0$ and ${y_2} = 2$
The point on the x-axis of the foot of the perpendicular drawn on the y-axis is M
x coordinates of the foot of a perpendicular drawn on the y axis is M (0, 2)
The coordinates of M will be (0, 2)

So, the correct answer is “Option B”.

Note: Here students get confused between the point of coordinates of X-axis and y-axis as the question mentions only one point that is on y-axis and we have to find the coordinates of the point which is on the x-axis. we can find the coordinates of x-axis with the help of the perpendicular drawn on the y axis. Here the point of y remains the same as the perpendicular drawn on the y-axis and x-axis is equal to 0. Read the question carefully and understand the meaning of the question first. Don’t get confused between the x- axis and y-axis.