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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