Find the inconsistent pair of linear equations from the following.

x + 2 y = 4 2 x + 4 y = 4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 x + y = - 4 3 x - 2 y = 8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 x + y = 4 2 x + 3 y = 8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 x + 3 y = 8 2 x + 6 y = 16

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $x + 2 y = 4 2 x + 4 y = 4$
For inconsistent pair of lines, $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}} .$

From the given options.
For $x + 2 y = 4 & 2 x + 4 y = 4$
$\frac{1}{2} = \frac{2}{4} \neq \frac{1}{1} \to$ Its an inconsistent pair of linear equations.

For $2 x + y = - 4 & 3 x - 2 y = 8$
$\frac{2}{3} \neq \frac{1}{- 2} \to$ Its not an inconsistent pair of linear equations.

For $2 x + y = 4 & 2 x + 3 y = 8$
$\frac{2}{2} \neq \frac{1}{3} \neq \frac{4}{8} \to$ Its not an inconsistent pair of linear equations.

For $4 x + 3 y = 4 2 x + 6 y = 8$
$\frac{4}{2} = \frac{3}{6} \neq \frac{4}{8} \to$ Its not an inconsistent pair of linear equations.

Suggest Corrections