If a pair of linear equations is consistent,
Question:

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

Solution:

(c) Condition for a consistent pair of linear equations

$\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$ [intersecting lines having unique solution]

and    $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ [coincident or dependent]

 

Administrator

Leave a comment

Please enter comment.
Please enter your name.