Choose the correct answer from the given four options:
If a pair of linear equations is consistent, then the lines will be
(A) parallel
(B) always coincident
(C) intersecting or coincident
(D) always intersecting


Given:

A pair of linear equations is consistent.

To do:

We have to find the correct option.

Solution:

If a pair of linear equations is consistent, then it has a unique solution or infinite solutions.

For unique solution, the lines will be intersecting each other.

The required condition is,

$\frac{a_1}{a_2}≠\frac{b_1}{b_2}$

For infinite solutions, the lines will be coincident.

The required condition is,

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

Tutorialspoint
Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

17 Views

Kickstart Your Career

Get certified by completing the course

Get Started
Advertisements