Question:

Locus of the image of the point $(2, 3)$ in the line $\left(2x - 3y + 4\right) + k\left(x - 2y + 3\right) = 0, k \in R,$ is a

Updated On: Jun 23, 2024
  • Straight line parallel to x-axis
  • Straight line parallel to y-axis
  • Circle of radius $\sqrt{2}$
  • Circle of radius $\sqrt{3}$
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The Correct Option is C

Solution and Explanation


$P R=R Q$
$(x-1)^{2}+(y-2)^{2}=(2-1)^{2}+(3-2)^{2}$
$(x-1)^{2}+(y-2)^{2}=2$
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