CBSE Class 10 Sample Paper for 2018 Boards

Class 10
Solutions of Sample Papers for Class 10 Boards

### 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)

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.