English

State and Draw the Locus of a Swimmer Maintaining the Same Distance from a Lighthouse.

Advertisements
Advertisements

Question

State and draw the locus of a swimmer maintaining the same distance from a lighthouse.

Diagram
Sum
Advertisements

Solution


Proof: The locus of the swimmer will be a circle with light house as the centre and the same distance between the light house and the swimmer as radius.

shaalaa.com
  Is there an error in this question or solution?
Chapter 17: Loci - Figure Based Questions

APPEARS IN

R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 17 Loci
Figure Based Questions | Q 3

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Describe the locus of a point P, so that:

AB2 = AP2 + BP2,

where A and B are two fixed points.


Angle ABC = 60° and BA = BC = 8 cm. The mid-points of BA and BC are M and N respectively. Draw and describe the locus of a point which is:

  1. equidistant from BA and BC.
  2. 4 cm from M.
  3. 4 cm from N.
    Mark the point P, which is 4 cm from both M and N, and equidistant from BA and BC. Join MP and NP, and describe the figure BMPN.

Construct a triangle ABC, with AB = 5.6 cm, AC = BC = 9.2 cm. Find the points equidistant from AB and AC; and also 2 cm from BC. Measure the distance between the two points obtained. 


Use ruler and compasses only for this question. Draw a circle of radius 4 cm and mark two chords AB and AC of the circle of lengths 6 cm and 5 cm respectively.
(i) Construct the locus of points, inside the circle, that are equidistant from A and C. prove your construction.
(ii) Construct the locus of points, inside the circle that are equidistant from AB and AC. 


In Δ PQR, bisectors of  ∠ PQR and ∠ PRQ meet at I. Prove that I is equidistant from the three sides of the triangle , and PI bisects ∠ QPR . 


In Δ ABC, B and Care fixed points. Find the locus of point A which moves such that the area of Δ ABC remains the same. 


Draw and describe the lorus in  the following cases: 

The locus of points at a distance of 4 cm from a fixed line. 


Draw and describe the locus in the following case:

The locus of points inside a circle and equidistant from two fixed points on the circle.


Draw and describe the locus in the following case:

The locus of a point in the rhombus ABCD which is equidistant from the point  A and C.


Using only a ruler and compass construct ∠ABC = 120°, where AB = BC = 5 cm.
(i) Mark two points D and E which satisfy the condition that they are equidistant from both ABA and BC.
(ii) In the above figure, join AD, DC, AE and EC. Describe the figures:
(a) AECB, (b) ABD, (c) ABE.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×