English

Draw and Describe the Lorus in the Following Cases:

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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
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Solution

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

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Chapter 15: Loci - Exercise 16.1

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Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 15 Loci
Exercise 16.1 | Q 23.3

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Ruler and compasses 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 a ΔABC, in which BC = 6 cm, AB = 9 cm and ∠ABC = 60°.
(ii) Construct the locus of the vertices of the triangles with BC as base, which are equal in area to ΔABC.
(iii) Mark the point Q, in your construction, which would make ΔQBC equal in area to ΔABC, and isosceles.
(iv) Measure and record the length of CQ.


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