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 August 11, 2026 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

Remove Ads
Teachoo · Class 10 Explore Class 10

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.