Math, asked by mann24, 1 year ago

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

Answers

Answered by TheKnowledge
2
(0,5 ) will be the answer

mann24: please tell the explanation
Answered by DelcieRiveria
0

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).

Similar questions