Statement 1: Each point on the line `y-x+12=0` is equidistant from the lines `4y+3x-12=0,3y+4x-24=0` Statement 2: The locus of a point which is equidistant from two given lines is the angular bisector of the two lines.

Prove that the locus of a point equidistant from the extermities of a line segment is the perpendicular bisector if it.

Points on the line x + y = 4 which are equidistant from the lines |x| = |y| , are

Find the locus of a point equidistant from the point (2,4) and the y-axis.

Find the locus of a point equidistant from the point (2,4) and the y-axis.

Prove that the locus of a moving point, which is equidistant from the lines 3x-2y=5 and 3x+2y=5 , is a straight line.

Number of points lying on the line 7x+4y+2=0 which is equidistant from the lines 15x^2+56xy+48y^2=0 is

Find the equation of the locus of a point P which is equidistance from the st. line 3x-4y+2=0 and the origin.

Find the points on x=0 line whose perpendicular distance from the line 4x-3y-12=0 is 3.

Statement - 1 : If the perpendicular bisector of the line segment joining points A (a,3) and B( 1,4) has y-intercept -4 , then a = pm 4 . Statement- 2 : Locus of a point equidistant from two given points is the perpendicular bisector of the line joining the given points .

Find the points on y- ais whose perpendicular distance from the line 4x-3y-12=0 is 3.