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1.

Locusof the image of the point (2, 3) in the line `(2x-3y""+""4)""+""k""(x-2y""+""3)""=""0,""kepsiR`, is a :(1)straight line parallel to x-axis.(2) straight line parallel to y-axis(3)circle of radius `sqrt(2)`(4) circle ofradius `sqrt(3)`

Answer» `2x - 3y + 4 = 0`
x - 2y + 3= 0``
`2 xx(2) - (1)` equation
`-y + 2 = 0`
`y= 2; x=1`
point of intersection of family of straight line is`A(1,2)`
Let image point be =`P(h,k)`
distance between AB= distance between AP
`D(AB) = D(AP)= sqrt((2-1)^2 + (3-2)^2)`
`= sqrt2`
option 2 is correct