Mathematics Dictionary
Dr. K. G. Shih
Locus (2)
Subjects
Symbol Defintion
Example : Sqr(x) = Square root of x
Q00 |
- Outlines
Q01 |
- Locus in parallelogram
Q02 |
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Q03 |
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Q04 |
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Q05 |
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Q06 |
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Q07 |
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Q08 |
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Q09 |
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Q10 |
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Answers
Q01. Locus in parallelogram
Question
Parallelogram ABCD
AD and BC are fixed length
Bisectors of angle BCD and angle ADC meet at O
Find locus of O
Diagram
Text
Angle ADC + angle BCD = 180 degrees
Hence angle CDF + angle ECD = 90 degrees
Hence angle EOF = angle DOC = 90 degrees
Triangle ADF
Angle ADF = angle AFD
Hence AF = AD = fixed length
Hence F is fixed point
Triangle EBC
Angle BEC = angle ACE
Hence BE = BC = fixed length
Hence E is fixed point
Since E and F are fixed and angle EOF = 90
Hence locus of O is a circle with EF as diameter
Demo program
Graphs in Geometry
GE 21 40
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Q02.
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Q03. New
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Q04. New
1.
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Q05. Laws in algebra
1. Laws of exponent : It is in Lesson 06 05
2. Laws of logarithm : It is in Lesson 09 02
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Q06. New
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Q07. Answer
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Q08. Answer
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Q09. Answer
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Q10. Answer
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