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Draw and Describe the Lorus in the Following Cases: - Mathematics

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Question

Draw and describe the lorus in the following cases: 

The Iocus of the mid-points of all parallel chords of a circle.

Diagram

Solution

The locus of the mid-points of parallel chords is the diameter perpendicular to the given chords. 

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Chapter 16: Loci - Exercise 16.1

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 16 Loci
Exercise 16.1 | Q 23.3

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Describe the locus of a point in space, which is always at a distance of 4 cm from a fixed point.  


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 graph paper for this question. Take 2 cm = 1 unit on both the axes.

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Draw and describe the lorus in the following cases: 

The lorus of a point in rhombus ABCD which is equidistant from AB and AD .


Without using set squares or protractor construct:
(i) Triangle ABC, in which AB = 5.5 cm, BC = 3.2 cm and CA = 4.8 cm.
(ii) Draw the locus of a point which moves so that it is always 2.5 cm from B.
(iii) Draw the locus of a point which moves so that it is equidistant from the sides BC and CA.
(iv) Mark the point of intersection of the loci with the letter P and measure PC.


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.

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