System of Linear Equations Graph Properties
CMAT 2024 · Quantitative Techniques & Data Interpretation · Easy · Algebra
The graphs of , will be, (A) Parallel if the system has no solution. (B) Coincident if the system has finite number of solutions. (C) Intersecting if the system has two solutions (D) Intersecting if the system has only one solution
Choose the correct answer from the options given below :
- A.
A and B only
- B.
B and C only
- C.
A and D only
- D.
B and D only
Answer
C
Explanation
- Parallel lines do not intersect, which corresponds to no solution. So (A) is correct.
- Intersecting lines intersect at a single point, corresponding to a unique solution. So (D) is correct.
- Coincident lines have infinitely many solutions, not a finite number.
- Two straight lines cannot intersect at exactly two points.
Thus, statements A and D only are correct.
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