Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Given that a circle passes through (4,1) and (6,5), and its center lies on 4x + y = 16, what is the equation?
Options
A x² + y² - 4x - 6y + 13 = 0
B x² + y² - 6x - 8y + 15 = 0
Correct Answer
C x² + y² + 2x + 3y - 5 = 0
D x² + y² - 2x - 3y + 10 = 0
Correct Answer

Option B is the correct answer.

Detailed Explanation

The equation x² + y² - 6x - 8y + 15 = 0 is the correct equation for the circle satisfying the given conditions.

Hint

The notes indicate answer B.

Question Info