English

Describe Completely the Locus of Points in the Following Cases: - Mathematics

Advertisements
Advertisements

Question

Describe completely the locus of points in the following cases: 

Centre of a circle of varying radius and touching the two arms of ∠ ABC. 

Diagram

Solution

The Iocus  of a cirde of varying radius and touching two arms of ∠ ABC is the bisector of that angle. 

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Loci - Exercise 16.1

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 16 Loci
Exercise 16.1 | Q 24.4

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Construct a triangle ABC with AB = 5.5 cm, AC = 6 cm and ∠BAC = 105°

Hence:

1) Construct the locus of points equidistant from BA and BC

2) Construct the locus of points equidistant from B and C.

3) Mark the point which satisfies the above two loci as P. Measure and write the length of PC.


On a graph paper, draw the line x = 6. Now, on the same graph paper, draw the locus of the point which moves in such a way that its distantce from the given line is always equal to 3 units 


Construct a triangle ABC, with AB = 6 cm, AC = BC = 9 cm. Find a point 4 cm from A and equidistant from B and C. 


Construct a rhombus ABCD with sides of length 5 cm and diagonal AC of length 6 cm. Measure ∠ ABC. Find the point R on AD such that RB = RC. Measure the length of AR. 


Draw and describe the lorus in the following cases: 

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


Describe completely the locus of point in  the following cases: 

Midpoint of radii of a circle. 


Describe completely the locus of points in the following cases: 

Point in a plane equidistant from a given line. 


Draw and describe the locus in the following cases :

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


Use ruler and compass to answer this question. Construct ∠ABC = 90°, where AB = 6 cm, BC = 8 cm.

  1. Construct the locus of points equidistant from B and C.
  2. Construct the locus of points equidistant from A and B.
  3. Mark the point which satisfies both the conditions (a) and (b) as 0. Construct the locus of points keeping a fixed distance OA from the fixed point 0.
  4. Construct the locus of points which are equidistant from BA and BC.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×