Question1. Define locus with an example.
Question2. What is the locus of a stone dropped from the hand?
Question3.State locus of the centre ‘O’ of a circle of radius 2c.m which touches externally a
fixed circle whose centre is P and radius is 3.5c.m.
Question4. State the locus, in space, of points which are at distance 2c.m. from a given
straight line.
Question5. What is the locus of the midpoints of all equal chords in a circle?
Question6. PQ is a fixed line, state the locus of the point R so that
.
Question7. Draw a straight line PQ of length 6c.m.Draw the locus of all points which are
equidistant from P and Q.
Question8. State locus of the centre of a wheel moving on a straight horizontal road.
Question9. Find the locus of a point equidistant from two intersecting straight lines.
Question10. Which of the following statements are true or false?
(i)The perpendicular bisector of a line can be constructed so that it will pass through a given
point.
(ii)A line which bisects an angle of a triangle does not necessarily bisect the opposite side.
Question11. Find a point equidistant from the arms of a given angle and also equidistant
from two given points.
Question12. ABC is an equilateral triangle of side 3.3c.m. What is the locus of point distant
1.3c.m from A?
Question13. Draw an ∠ LMN equal to 65°.Construct a point which is at a distance of 2c.m.
from both arms of the angle.
Question14.A point moves so that its perpendicular distance from two given parallel lines is
equal. State locus of the point.
Question15. State the locus of a point in a rhombus PQRS, which is equidistant from the
vertices P and R.
© Copyright 2011 - 12 Educomp Solutions Ltd.
Page 1 of 3
Question16.Construct a triangle PQR with PQ 7c.m., QR=8c.m.and ∠PQR=60°. Locate by
construction a point B such that (i) B is equidistant from Q and R. (ii) B is equidistant from
PQ and QR. Measure and record the length of BQ.
Question17. What is the locus of a point 2.5c.m from centre of a circle of radius 7c.m?
Question18. What is the locus of points equidistant from three points P, Q and R which are
not in a straight line?
Question19. Without using set square or protractor, draw a triangle ABC in which BC=2.5
units, AB=AC=3 units and altitude CD=3 units. Measure AB.
Question20. What is the locus of the tip of the pendulum of a clock?
Answers:A1. If a point , which according to certain given laws, describes a path and if every point on
this path satisfies the given law then the path is called locus of the point.
A2. A vertical straight line
A3. Locus is a circle with centre P and radius 5.5c.m.
A4. The locus is a cylinder whose radius is 2c.m. and whose axis is the given straight line.
A5. A circle.
A6. A circle on diameter PQ
A7. Locus is perpendicular bisector of PQ.
A8. Straight line parallel to the road at a distance equal to the radius of the wheel.
A9. A pair of straight lines bisecting the angles between the two given lines.
A10. (i) False (ii) true
A11. Point of intersection of the angle bisector and the right bisector of the line joining two
points.
A12. It is a circle with centre A and radius equal to 1.3c.m
© Copyright 2011 - 12 Educomp Solutions Ltd.
Page 2 of 3
A13. Draw bisector of angle LMN. Draw a line parallel to one of the arms of the angle distant
2c.m from it.. The required point is the point of intersection of bisector and parallel line.
A14. A straight line parallel to the given lines through midway.
A15. QS is the locus of point which is equidistant from P and R.
A16.4.7c.m
A17. Circle of radius 2.5c.m concentric with the given circle.
A18. The required locus is the point of intersection of the two perpendicular bisectors.
A19. 3.4c.m.
A20. An arc of a circle.
© Copyright 2011 - 12 Educomp Solutions Ltd.
Page 3 of 3