Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the distance between parallel lines. (ii) l (x + y) + p = 0 and l (x + y) – r = 0.

Q : 6     Find the distance between parallel lines

            (ii)  l(x+y)+p=0 and l(x+y)-r = 0

Answers (1)

best_answer

Given equations of lines are
l(x+y)+p=0 and l(x+y)-r = 0
it is given that these lines are parallel
Therefore,
d = \frac{ |C_2-C_1|}{\sqrt{A^2+B^2}}
A = l , B = l , C_1= -r \ and \ C_2 = p
Now,
d = \frac{|p-(-r)|}{\sqrt{l^2+l^2}}= \frac{|p+r|}{\sqrt{2l^2}}= \frac{|p+r|}{\sqrt{2}|l|}
Therefore, the distance between two lines is \frac{1}{\sqrt2}\left | \frac{p+r}{l} \right |

Posted by

Gautam harsolia

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Board Exams 2025: Counselling for students, parents from February 1
anam-khan

CBSE asks schools to include APAAR IDs in school ID after NTA says ‘not mandatory’ for NEET
anam-khan

CBSE Board Exams 2025: What the ethics code bans from exam centres

Latest Question