Question

The graphs of $ax + by = c$, $dx + ey = f$ 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 :

Accepted Answer

C. 1. Parallel lines do not intersect, which corresponds to no solution. So (A) is correct. 2. Intersecting lines intersect at a single point, corresponding to a unique solution. So (D) is correct. 3. Coincident lines have infinitely many solutions, not a finite number. 4. Two straight lines cannot intersect at exactly two points. Thus, statements A and D only are correct.

System of Linear Equations Graph Properties

Explanation

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