English

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.

Advertisements
Advertisements

Question

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.

Diagram
Short Answer
Advertisements

Solution

The locus of the points inside the circle that are equidistant from the fixed points on the circle will be the diameter, which is the perpendicular bisector of the line joining the two fixed points on the circle. 

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Locus - Exercise 14 [Page 302]

APPEARS IN

Nootan Mathematics [English] Class 10 ICSE
Chapter 14 Locus
Exercise 14 | Q 2. (iii) | Page 302
Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 15 Loci
Exercise 16.1 | Q 23.2

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

On a graph paper, draw the lines x = 3 and y = –5. Now, on the same graph paper, draw the locus of the point which is equidistant from the given lines.


Ruler and compasses may be used in this question. All construction lines and arcs must be clearly shown and be of sufficient length and clarity to permit assessment.

  1. Construct a ΔABC, in which BC = 6 cm, AB = 9 cm and angle ABC = 60°.
  2. Construct the locus of all points inside triangle ABC, which are equidistant from B and C.
  3. Construct the locus of the vertices of the triangles with BC as base and which are equal in area to triangle ABC.
  4. Mark the point Q, in your construction, which would make ΔQBC equal in area to ΔABC, and isosceles.
  5. Measure and record the length of CQ.

Two straight roads AB and CD cross each other at Pat an angle of 75°  . X is a stone on the road AB, 800m from P towards B. BY taking an appropriate scale draw a figure to locate the position of a pole, which is equidistant from P and X, and is also equidistant from the roads. 


Construct a ti.PQR, in which PQ=S. 5 cm, QR=3. 2 cm and PR=4.8 cm. Draw the locus of a point which moves so that it is always 2.5 cm from Q. 


Describe completely the locus of a point in the following case:

Midpoint of radii of a circle. 


Construct a triangle ABC, such that AB= 6 cm, BC= 7.3 cm and CA= 5.2 cm. Locate a point which is equidistant from A, B and C.


Construct a triangle BPC given BC = 5 cm, BP = 4 cm and .

i) complete the rectangle ABCD such that:
a) P is equidistant from AB and BCV
b) P is equidistant from C and D.
ii) Measure and record the length of AB.


State and draw the locus of a point equidistant from two given parallel lines.


How will you find a point equidistant from three given points A, B, C which are not in the same straight line?


Ruler and compass only may be used in this question. All construction lines and arcs must be clearly shown, and be of sufficient length and clarity to permit assessment.
(i) Construct Δ ABC, in which BC = 8 cm, AB = 5 cm, ∠ ABC = 60°.
(ii) Construct the locus of point inside the triangle which are equidistant from BA and BC.
(iii) Construct the locus of points inside the triangle which are equidistant from B and C.
(iv) Mark as P, the point which is equidistant from AB, BC and also equidistant from B and C.
(v) Measure and record the length of PB.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×