The locus of the mid-points of the chords of the circle which subtend an angle of…

MATHEMATICS · Single correct · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

The locus of the mid-points of the chords of the circle

x^2 + y^2 + 4x - 6y - 12 = 0

which subtend an angle of

\frac{\pi}{3}

radians at its circumference is (1)

(x+2)^2 + (y-3)^2 = 6.25

(2)

(x-2)^2 + (y+3)^2 = 6.25

(3)

(x+2)^2 + (y-3)^2 = 18.75

(4)

(x+2)^2 + (y+3)^2 = 18.75