**The correct option (2) 26x – 122y – 1675 = 0**

**Explanation:**

Equations of AB and AC are :** **

3x – 2y + 6 = 0 and 4x + 5y – 20 = 0, respectively.

Orthocenter (O) is (1, 1). Since BE ⊥ AC passing through O, BE : 5x – 4y – 1 = 0.

Similarly, CF : 2x + 3y – 5 = 0

Use family of lines concept

⇒ BC : 26x – 122y = 1675