Question

If \( Q \) is the inverse point of \( P(-1, 1) \) with respect to the circle \( x^2 + y^2 - 2x + 2y = 0 \), then the line containing \( Q \) is:

• A. \(x - 3y - 2 = 0\)
• B. \(x - y + 1 = 0\)
• C. \(x + y - 2 = 0\)
• D. \(2x - 3y + 5 = 0\)

Hint:

Inverse points with respect to a circle satisfy the condition: \( \vec{CP} \cdot \vec{CQ} = r^2 \), where \( C \) is the center of the circle.

Answer 1

The Correct Option is A