Question

find the coordinates of a point on y axis which is nearest to the point - 2, 5

Answer 1

(0,5 ) will be the answer

Answer 2

Answer:

The coordinates of required point are (0,5).

Step-by-step explanation:

Let the coordinates of required point be (0,y), because the x-coordinate of a point on y-axis is always 0.

If a point is defined as (a,b), then the distance from x-axis is |b| and the distance from y-axis is |a|.

The given point is (-2,5). So, the distance from y-axis is 2.

The distance between (-2,5) and (0,y) is 2.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$2=(0-(-2))^2+(y-5)^2$

squaring both the sides.

$4=4+(y-5)^2$

$0=(y-5)^2$

$0=y-5$

$y=5$

Therefore the coordinates of required point are (0,5).