wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the equation ax+by+c=0, where c is a constant, if a=b=0 then


A

it is a linear equation in 2 variables

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

it is a linear equation in 1 variable

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

it is not a linear equation

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

None of these

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

The correct option is C

it is not a linear equation


Given equation: ax+by+c=0 where c is a constant

If a=b=0, then the equation reduces to c = 0 which is a constant. So, it will not be a linear equation.

Also, if either of a or b had been zero, it would have become a linear equation in one variable.
If a = 0, then equation will be by + c = 0.
Similarly, if b = 0, then equation will be ax + c = 0.
Now, by + c = 0 and ax + c = 0 are linear equations in one variable.

If both a 0 and b 0, then the given equation would have become a linear equation in two variables.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basics Revisted
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon