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Classification of Pair of Linear Equations

Intersecting ...

Question

Intersecting lines are consistent.

A

False

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B

True

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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

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. What is the reason that the lines which intersect are called consistent ?

Q. Read the following statement which is taken as axiom:

(i)

If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
Is this axiom consistent? Justify your answer.

Read the following statement which is taken as axiom:
Is this axiom consistent? Justify your answer.

(i i)

If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this axiom consistent? Justify your answer.

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

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