JEE Main 2024 Mathematics question

If P(6, 1) be the orthocentre of the triangle whose vertices are A(5, −2), B(8, 3) and C(h, k), then the point C lies on the circle.

• (A)x² + y² − 65 = 0Correct
• (B)x² + y² − 74 = 0
• (C)x² + y² − 61 = 0
• (D)x² + y² − 52 = 0