The difference between the radii of the largest and smallest circles which have their…

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

Problem

The difference between the radii of the largest and smallest circles which have their centre on the circumference of the circle

x^2 + y^2 + 2x + 4y - 4 = 0

and pass through the point

(a, b)

lying outside the given circle is (1) 6 (2)

\sqrt{(a+1)^2 + (b+2)^2}

(3) 3 (4)

\sqrt{(a+1)^2 + (b+2)^2} - 3