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### High School Mathematics12.46 Important Points - Locus

 1. A locus is set of points satisfying a given condition or conditions. 2. The locus of all points in a plane that are at a given distance from a given point in the same place is a circle. 3. The locus of points that are equidistant from two parallel lines is another line parallel to them and in between them. 4. The locus of points at a given distance from a given line is the union of two straight lines parallel to the given line which are on either sides of the given line. 5. The locus of points equidistant from two given points is the perpendicular bisector of the line segment joining them. 6. The locus of centres of the circles passing through two given points is the perpendicular bisector of the line segment joining the two points. 7. The locus of the point equidistant from three non-collinear points is a point which is the circumcentre of the triangle having these points are vertices. 8. The locus of a point equidistant from two intersect lines is the union of the pair of lines bisecting the angles formed by the given lines. 9. The locus of the mid points of equal chords of a circle is a concentric circle. 10. The locus of the mid points of the parallel chords of a circle is a diameter of the circle. Directions: Choose the correct answer.
 Q 1: Each point on the diagonal BD of rectangle ABCD is equidistant from AB and BC.FalseTrue Q 2: The locus of a point at a constant distance from a fixed point in the same plane is ______.two parallel linesa circlea linetwo intersecting lines Q 3: The point of intersecting of the diagonals of a square is equidistant from the four sides of the square.TrueFalse Q 4: In a plane the locus of a point equidistant from a line is _______.two intersecting linesa linea circletwo parallel lines Q 5: Each point on the diagonal AC of rhombus ABCD is equidistant from the sides AB and AD.TrueFalse Q 6: The locus of a point equidistant from a fixed point in space is ______.a spheretwo linesa circlea line Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!