Locus of the image of the point (2, 3) in the line

Question:

Locus of the image of the point (2, 3) in the line (2x – 3y + 4) + k (x – 2y + 3) = 0, k  R, is a

  1. circle of radius $\sqrt{2}$

  2. circle of radius $\sqrt{3}$

  3. straight line parallel to $\mathrm{x}$-axis

  4. straight line parallel to y-axis


Correct Option: 1

Solution:

Slope of PS

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