Find the coordinates of the point on y-axis which is nearest to the point (–2, 5).

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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)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.