If the pair of linear equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ has infinite number of solutions, then the relation among the coefficients is :

\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

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

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

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

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

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

\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

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

Open in App

Solution

The correct option is B $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$
If the pair of linear equations $a_{1} x + b_{1} y + c_{1} = 0 & a_{2} x + b_{2} y + c_{2} = 0$ has infinite number of solutions, the graph will be a pair of coincident lines and the relation among the coefficients is :
$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$

Suggest Corrections

Similar questions

Unique point is obtained for the pair of equations $a_{1}$ x + $b_{1}$ y + $c_{1}$ = 0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ = 0 if __________ .

Parallel lines are obtained for the pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ if

The condition for a pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be parallel is

The condition for $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be consistent and have a unique solution is

What can you tell about the ratio of coefficients of the lines $a_{1}$ x + $b_{1}$ y + $c_{1}$ = 0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ = 0 from the graph ?

Join BYJU'S Learning Program

If the pair of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 has infinite number of solutions, then the relation among the coefficients is :

The correct option is B a1a2=b1b2=c1c2If the pair of linear equations a1x+b1y+c1=0&a2x+b2y+c2=0 has infinite number of solutions, the graph will be a pair of coincident lines and the relation among the coefficients is :a1a2=b1b2=c1c2

If the pair of linear equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ has infinite number of solutions, then the relation among the coefficients is :