Locus of the image of the point in the line

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Locus of the image of the point

(2, 3)

in the line

(2x - 3y + 4) + k(x - 2y + 3) = 0, k \in \mathbb{R}

, is a (1) circle of radius

\sqrt{2}

(2) circle of radius

\sqrt{3}

(3) straight line parallel to

X

-axis (4) straight line parallel to

Y

-axis