CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The lines that represent these two equations x+2y=5 and 4x+4y6=0 meet at only one point (-2, 3.5). The pair of equations is


A

dependent

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

consistent

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
inconsistent
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(a) and (b) above.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

consistent


A pair of linear equations in two variables which has a solution, is said to be consistent.

Here the lines representing the given linear equations are meeting only at point (-2, 3.5) giving a unique solution. Therefore, it is a consistent pair of linear equations.

Now, a pair of linear equations in two variables is said to be dependent when the lines representing them are coinciding i.e. will have many solutions.

Here, the lines have only one solution (-2, 3.5). Therefore, they aren't dependent.


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