If (1, p/3) is the mid-point of the line segment joining the points (2, 0) and (0, 2/9), then show that the line 5 x + 3 y + 2 = 0 passes through the point (–1, 3p).

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/

If (1, p/3) is mid-point of line segment joining (2, 0) and (0, 2/9)

Question 10 - CBSE Class 10 Sample Paper for 2018 Boards - Part 2

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Question 10 If (1, /3) is the mid-point of the line segment joining the points (2, 0) and (0, 2/9), then show that the line 5x + 3y + 2 = 0 passes through the point ( 1, 3p). Let A(2, 0), B(0, 2/9) and let mid-point be C (1, /3) Finding coordinates of C (1, /3) = ((2 + 0)/2 , (0 + 2/9)/2) (1, /3) = (2/2 ,2/9 1/2) (1, /3) = (1 ,1/9) Comparing y-coordinate /3 = 1/9 = 3/9 = / We need to show that line 5x + 3y + 2 = 0 passes through ( 1, 3p) Point = ( 1, 3p) = ( 1, 3 1/3) = ( 1, 1) Putting ( 1, 1) in line 5x + 3y + 2 = 0 5( 1) + 3(1) + 2 = 0 5 + 3 + 2 = 0 5 + 5 =0 0 = 0 Which is true Hence, (1, p) passes through 5x + 3y + 2 = 0

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.