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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
12.46 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.
False
True

 Q 2: The locus of a point at a constant distance from a fixed point in the same plane is ______.
a line
two intersecting lines
two parallel lines
a circle

Q 3: The locus of a point equidistant from a fixed point in space is ______.
a sphere
a line
two lines
a circle

 Q 4: The locus of a point equidistant from two parallel lines is _______.
a line
two parallel lines
a circle
two intersecting lines

Q 5: A, B, and C are three non-collinear points in a plane. The locus of P equidistant from AB, BC and CA is ______.
circumcentre
centroid
in centre
orthocentre

 Q 6: In a plane the locus of a point equidistant from a line is _______.
two parallel lines
a line
a circle
two intersecting lines

Question 7: This question is available to subscribers only!

 Question 8: This question is available to subscribers only!


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