Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

If a circle's general equation is x² + y² + 2gx + 2fy + c = 0 and (x₁,y₁) lies on it, then:
Options
A x₁² + y₁² + 2gx₁ + 2fy₁ + c = 0
Correct Answer
B x₁ + y₁ = 0
C x₁ - y₁ + c = 0
D gx₁ + fy₁ = 0
Correct Answer

Option A is the correct answer.

Detailed Explanation

If a point lies on a circle, its coordinates satisfy the circle equation, so x₁² + y₁² + 2gx₁ + 2fy₁ + c = 0.

Hint

The notes indicate answer A.

Question Info