Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

If the equation of the circle is x² + y² - 4x + 2y + 3 = 0, what is the value of g and f?
Options
A g = -4, f = 2
B g = -2, f = 1
Correct Answer
C g = 2, f = -1
D g = 1, f = -2
Correct Answer

Option B is the correct answer.

Detailed Explanation

In the general form x² + y² + 2gx + 2fy + c = 0, comparing with x² + y² - 4x + 2y + 3 = 0 gives 2g = -4, so g = -2; and 2f = 2, so f = 1.

Hint

The notes indicate answer B.

Question Info