Locus of 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 of radius `sqrt(3)`

Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=0,k varepsilon R is a :(1) straight line parallel to x-axis.(2) straight line parallel to y-axis (3) circle of radius sqrt(2)(4) circle of radius sqrt(3)

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

A complex number z is said to be unimodular if . Suppose z_1 and z_2 are complex numbers such that (z_1-2z_2)/(2-z_1z_2) is unimodular and z_2 is not unimodular. Then the point z_1 lies on a : (1) straight line parallel to x-axis (2) straight line parallel to y-axis (3) circle of radius 2 (4) circle of radius sqrt(2)

Find the image of the circle x^(2)+y^(2)-2x+4y-4=0 in the line 2x-3y+5=0

If A(-1, 0), B(1, 0) and C(3, 0) are three given points, then the locus of point D satisfying the relation DA^2 + DB^2 = 2DC^2 is (A) a straight line parallel to x-axis (B) a striaght line parallel to y-axis (C) a circle (D) none of these

If the straight line (3x+4y+5)+k(x+2y-3)=4 is parallel to x-axis then k=

If the straight line (2x + 3y +4) +lambda (6x -y + 12) = 0 is parallel to y-axis then lambda=

Find the equation of the straight line parallel to x+2y=3 and passing through the point (3, 4).

The equation of the pair of straight lines parallel tox-axis and touching the circle x^(2)+y^(2)-6x-4y-12=0, is

The value of k such that the line 3x+4y+5-k(x+y+3)=0 is parallel to y-axis is