Question

The circle touching the y axis at a distance 4 units from the origin and cutting off an intercept 6 from the x axis is: (A) \(x^2 + y^2 \pm 10x - 8y + 16 = 0\)

• A. \(x^2 + y^2 \pm 10x - 8y + 16 = 0\)
• B. \(x^2 + y^2 \pm 5x - 8y + 16 = 0\)
• C. \(x^2 + y^2 \pm 5x - 2y - 8 = 0\)
• D. \(x^2 + y^2 \pm 2x - y - 12 = 0\)

Hint:

When a circle touches the y
axis, the x
coordinate of its center is equal to its radius. The length of the chord cut off by the circle on the x
axis can be used to find the y
coordinate of the center.