Question

Choose the correct statement related to simultaneous linear equations:

• A. If two simultaneous linear equations while plotting on cartesian coordinate intersect each other, then the equations have no solution.
• B. If two simultaneous linear equations have infinitely many solution, they will overlap while plotting on cartesian plane.
• C. When two lines are parallel to each other, their simultaneous linear equations have Unique solution.
• D. If two simultaneous linear equations while plotting on cartesian coordinate intersect each other, then the equations have unique solution.

Answer 1

Answer: (B), (D)

If two simultaneous linear equations while plotting on cartesian coordinate intersect each other, then the equations have unique solution.

For No solution lines should be parallel as shown:

For Unique solution lines must intersect each other at only one point as shown:


For infinitely many solution both lines will overlap each other because every ordered pair will satisfy the equations.
So, option (b) and (d) are corect.