The normal to the curve x² + y² = 25 at the point (3, 4) passes through:

The normal to the curve x² + y² = 25 at the point (3, 4) passes through:

• A. (6, 8)
• B. (4, 3)
• C. (0, 0)
• D. (5, 5)

Answer: A) (6, 8)

Explanation: Implicit diff: 2x + 2y y' = 0 → y' = −x/y. At (3, 4), slope = −3/4. Normal slope = 4/3. Eq: y − 4 = (4/3)(x − 3) → 3y − 12 = 4x − 12 → 4x − 3y = 0. Check (6, 8): 24 − 24 = 0. Yes.