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Role of Coefficients and Constants

If a pair of ...

Question

If a pair of linear equations is consistent, then the lines are:

A

Parallel

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B

Always consistent

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C

Intersecting or coincident

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D

Always intersecting

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Solution

The correct option is C Intersecting or coincident
If a pair of linear equations is consistent, then the lines are intersecting or coincident i.e they will have at least one solution or infinitely many solutions.

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Similar questions

Q. Question 3
If a pair of linear equations is consistent, then the lines will be
(A) parallel
(B) always coincident
(C) intersecting or coincident
(D) always intersecting

Q. If a pair of linear equations is consistent, then their graph lines will be

(a) parallel
(b) always coincident
(c) always intersecting
(d) intersecting or coincident

Q. If a pair of linear equations in two variables is consistent, then the lines represented by two equations are

(a) intersecting
(b) parallel
(c) always coincident
(d) intersecting or coincident

If a pair of linear equations is inconsistent then their graph lines will be

(a) parallel (b) always coincident

(c) always intersecting (d) intersecting or coincident

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.

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Role of Coefficients and Constants

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