Mathematics
The locus of a point which is equidistant from two intersecting lines is the formed by the given lines.
pair of lines bisecting the angles
pair of parallel lines
pair of perpendicular lines
none of these
Answer
Let AB and CD meet at point O.
For two intersecting lines, the points that are equidistant from both lines lie on the lines that bisect the angles formed at their intersection, every point maintains equal perpendicular distance from the two intersecting lines.
Hence, option 1 is the correct option.
Related Questions
The locus of a point which moves in a plane in such a way that its distance from a fixed point is always constant, is known as :
a square
an equilateral triangle
a circle
a parallelogram
The locus of a point which is equidistant from two given fixed points, is the of the line segment joining the given fixed points.
median
angle bisector
altitude
perpendicular bisector
If A and B are two fixed points, then the locus of a point P such that ∠APB = 90°, is the:
square
rectangle
circle
rhombus
A point P moves such that its distance from a fixed line AB is always the same. What is the relation between AB and the path traveled by P ?
It is a set of two lines perpendicular to AB.
It is a set of two lines parallel to AB drawn on either side at equal distance from it.
It is a set of two concentric circles.
It is a set of two intersecting lines with AB bisecting the angle between them.