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

This is a question of CBSE Sample Paper - Class 10 - 2017/18.

You can download the question paper here  https://www.teachoo.com/cbse/sample-papers/


Transcript

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)

  1. Class 10
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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo