JEE Main 2020 Mathematics question

Let C be the centroid of the triangle with vertices (3, −1), (1, 3) and (2, 4). Let P be the point of intersection of the lines x + 3y − 1 = 0 and 3x − y + 1 = 0. Then the line passing through the points C and P also passes through the point :

• (A)(−9, −6)Correct
• (B)(9, 7)
• (C)(−9, −7)
• (D)(7, 6)