Circle(s) touching -axis at a distance 3 from the origin and having an intercept of…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Circle(s) touching

X

-axis at a distance 3 from the origin and having an intercept of length

2\sqrt{7}

Y

-axis is (are) (1)

x^2 + y^2 - 6x + 8y + 9 = 0

(2)

x^2 + y^2 - 6x + 7y + 9 = 0

(3)

x^2 + y^2 - 6x - 8y + 9 = 0

(4)

x^2 + y^2 - 6x - 7y + 9 = 0