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)`

Locusof the image of the point (2, 3) in the line `(2x-3y""+""4)""+""k

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