# Locus of the image of the point (2, 3) in the line Option 1) straight line parallel to x-axis. Option 2) straight line parallel to y-axis Option 3) circle of radius Option 4) circle of radius

As we learnt in

Family of straight lines -

Equation of lines that belongs to   and  can be found by joining the points of intersection of the two families.

- wherein

Distance formula -

The distance between the point

is

- wherein

image of  in the line

Point of intersection is

Now if

where

R is image of P, then

AP Should be equal to AR, i.e.

Circle of Redlines

Option 1)

straight line parallel to x-axis.

Incorrect

Option 2)

straight line parallel to y-axis

Incorrect

Option 3)

Correct

Option 4)

Incorrect

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