For a pair of linear equations-a 1 x - b 1 y - c 1 and a 2 x - b 2 y - c 2If a 1- a 2- b 1- b 2- c 1- c 2- then the lines are-A- intersectingB- parallelC- coincidentD- always parallel to x-axis-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Comparing the Ratios of Coefficients of a Linear Equation

For a pair of...

Question

For a pair of linear equations:
$a_{1} x + b_{1} y = c_{1}$ and $a_{2} x + b_{2} y = c_{2}$

If $\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ = $\frac{c_{1}}{c_{2}}$ , then the lines are .

parallel

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

intersecting

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

coincident

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

always parallel to x-axis.

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

Open in App

Solution

Suggest Corrections

Similar questions

a_{1} x + b_{1} y = c_{1}

a_{2} x + b_{2} y = c_{2}

\frac{a_{1}}{a_{2}}

\frac{b_{1}}{b_{2}}

\frac{c_{1}}{c_{2}}

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

a_{1} x + b_{1} y + c_{1} = 0

a_{2} x + b_{2} y + c_{2} = 0, (a_{1}, b_{1}, c_{1}, a_{2}, b_{2} a n d c_{2}

a_{1}, b_{1}, a_{2}, b_{2},

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 __________ .

Join BYJU'S Learning Program