Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is (ii) parallel lines

Q6.    Given the linear equation 2x + 3y -8 =0, write another linear equation in two variables such that the geometrical representation of the pair so formed is

                (ii) parallel lines

Answers (1)

best_answer

Given the equation,

2x + 3y -8 =0

As we know that the condition for the   lines  a_1x+b_1y+c_1=0\:and\:a_2x+b_2y+c_2=0, for being parallel is,

\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq\frac{c_1}{c_2}

So Any line with this condition can be  4x+6y-8=0

Here,

\frac{a_1}{a_2}=\frac{2}{4}=\frac{1}{2}

\frac{b_1}{b_2}=\frac{3}{6}=\frac{1}{2}

\frac{c_1}{c_2}=\frac{-8}{-8}=1

As

 \frac{1}{2}=\frac{1}{2}\neq1   the line satisfies the given condition.

Posted by

Pankaj Sanodiya

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Board Exam 2025: Class 10, 12 practical exam dates out at cbse.gov.in; passing marks
anam-khan

CBSE urges schools to complete 100% registration of Class 9, 11 students by October 16; late fee for delays

Latest Question