JEE Main 2020 Mathematics question

If a hyperbola passes through the point P(10, 16) and it has vertices at (± 6, 0), then the equation of the normal to it at P is :

• (A)2x + 5y = 100Correct
• (B)x + 2y = 42
• (C)x + 3y = 58
• (D)3x + 4y = 94