Q. 43.8( 10 Votes )

Find the coordina

Answer :

We have

Given is the point A(-2, 5).

Let B(0, a) be the point to be found on y-axis, where its x coordinate will be 0.

So, distance from A to B, i.e., AB needs to be the shortest.

Let’s find AB.

We know the formula for distance in coordinate geometry.

Let x1 = -2, x2 = 0, y1 = 5 and y2 = a.

AB is given by,

Substituting the values, we get

Now, for AB to be minimum or shortest (a – 5)2 must equal to 0.

(a – 5)2 = 0

a – 5 = 0

a = 5

Thus, we have got the point B(0, a) = B(0, 5)

So, coordinate of the point on y-axis nearest to point (-2, 5) is (0, 5).

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