Home
Class 14
MATHS
Consider the following statements : 1....

Consider the following statements :
1. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn midway between them.
2. The perpendicular distances of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.
Which of the above statements is/are correct ?

A

A. 1 only

B

B. 2 only

C

C. Both 1 and 2

D

D. Neither 1 nor 2

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the following statements The locus of poitns which are equidistant from two parallel lines is a line parallel to both of them and drawn midway between them. II. Then perpendicular distances of any point on this locus line from two originalparallel lines are equal. Further, no point outside this locus line has this property. Which of the above statemnets is/are correct ?

The locus of a point equidistant from two intersecting lines is

To find perpendicular distance of a point from a line and distance between 2 parallel lines

The locus of the point in a plane which is equidistant from two intersecting lines is _____

The locus of all points in a plane that are equidistant from a given point in the same plane is a circle line parallel to the given lines midway between them an ellipse a hyperbola

Distance of a point from plane parallel to a line

Show that the locus of a point, equidistant from two intersecting lines in the plane, is a pair of lines bisecting the angles formed by the given lines.

Show that the locus of a point, equidistant from the endpoints of a line segment, is the perpendicular bisector of the segment