MyQuestionIcon

1

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

Simultaneous Linear Equations

If a pair of ...

Question

If a pair of lines are coincident, then find the number of solutions.

A

A unique solution

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

B

Infinitely many solutions

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

C

No Solution

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

D

None of the above

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

Open in App

Solution

The correct option is B Infinitely many solutions
If a pair of lines are coincident, then both the lines are exactly the same when plotted in the cartesian plane.
Hence, there will be infinitely many solutions.

Suggest Corrections

thumbs-up

3

Similar questions

Q. Assertion :If the pair of lines are coincident, then we say that pair is consistent and it has a unique solution. Reason: If the pair of lines are parallel, then the pair has no solution and is called inconsistent pair of equations.

Q. STATEMENT - 1 : If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case, the pair of equations is consistent.
STATEMENT - 2 : If the lines are parallel, then the pair of equations has no solution. In this case, the pair of equations is inconsistent.

Q. If a pair of linear equations is consistent with a unique solution, then the lines representing them are _______.

We know that coincident lines have infinite solutions so find out which among the following pairs of lines are coincident.

Q. Coincident lines have infinite solutions. Which among the following pairs of lines are coincident?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Simultaneous Linear Equations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Simultaneous Linear Equations

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon