Correct Answer: Only I and III
Explanation:
ax + by = c and dx + ey = f
a1/a2 = a/d, b1/b2 = b/e, c1/c2 = c/f
∵ b1/b2 ≠ c1/c2
∴ b/e ≠ c/f
it represent a pair of parallel lines.
∵ a1/a2 ≠ b1/b2
∴ a/d ≠ b/e
Therefore, system has unique solutions and represents a pair of intersecting lines.
Discussion & Comments