Question 4
Find the coordinates of the point on y-axis which is nearest to the point ( 2, 5).
Let A( 2, 5)
Since the required point is in y-axis,
its x coordinate will be zero
Let Required point = B (0, a)
We need to find coordinates of point B such that distance AB is minimum
Finding AB
Finding AB
x1 = 2 , y1 = 5
x2 = 0 , y2 = a
AB = (( 2 1)2+( 2 1)2)
= (( 0 ( 2))2+( 5)2)
= ((2)2+( 5)2)
= ((6)2+( 5)2)
Now, AB is least when a 5 = 0
i.e. a = 5
So, coordinate of required point = (0, 5)
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.