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# Solution: 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 โ k) dx โ (x โ h) dy = 0
• B. (y โ h) + (y โ k) = dy/dx
• C. (x โ h) dx โ (y โ k) dy = 0
• D. (x + h) dx โ (y โ k) dy = 0

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

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