Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For the system of linear equations
Which of the following is NOT true?
A
If 
, then the system has no solution
, then the system has no solution
B
If 
and 
then the system has a unique solution.
and then the system has a unique solution.
C
There is a unique point 
on the line 
for which the system has infinitely many solutions.
on the line for which the system has infinitely many solutions.
D
For every point 
on the line 
the system has infinitely many solutions.
on the line the system has infinitely many solutions.
Text Solution
Verified by ExpertsThe correct answer is:
D
Be equation 1 and 3 
and 
Now putting in equation 2
So, equations have unique solution if
And equations have no solution if
and 
And equations have infinite solution if
and 
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