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Answer:
The correct answer is:
and
are the equations that have no solution.
Step-by-step explanation:
First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.
Let the equations be:
and
1. There exists exactly one solution:
2. There exists infinitely many solutions i.e. lines are identical.
3. There exists No solutions i.e. lines are parallel and will never intersect.
Now, let us have a look at the given pair of lines:
Option a)
The ratio:
Hence, the lines are identical, infinite solutions.
Option b)
The ratio:
Hence, exactly one solution.
Option c)
The ratio:
Hence, exactly one solution.
Option d)
The ratio:
Hence, There is no solution.
The correct answer is:
and
are the equations that have no solution.