Class 10
Solutions of Sample Papers for Class 10 Boards

Question 10 - CBSE Class 10 Sample Paper for 2018 Boards - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

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

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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

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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