Solution: Determine the differential equation of the family of lines passing through (h, k)

Determine the differential equation of the family of lines passing through (h, k).

Problem Statement: CE Board November 1995

Determine the differential equation of the family of lines passing through (h, k).

• A. (y – k) dx – (x – h) dy = 0
• B. (y – h) + (y – k) = dy / dx
• C. (x – h) dx – (y – k) dy = 0
• D. (x + h) dx – (y – k) dy = 0

The differential equation of the family of lines is (y – k) dx – (x – h) dy = 0

Solution:

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