{"id":2220,"date":"2016-12-13T22:18:35","date_gmt":"2016-12-13T22:18:35","guid":{"rendered":"http:\/\/gcseguide.co.uk\/?p=2220"},"modified":"2019-08-07T12:29:30","modified_gmt":"2019-08-07T12:29:30","slug":"loci","status":"publish","type":"post","link":"https:\/\/gcseguide.co.uk\/maths\/shapes\/loci\/","title":{"rendered":"Loci & Constructions"},"content":{"rendered":"\n
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Want to download the Loci & Constructions revision notes in PDF format?<\/p>\n<\/div>\n\n\n\n

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Download Loci-1.pdf<\/h3>\n

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A locus is a set of points satisfying a certain condition. The term ‘locus’, however, is rarely used in exams. The question is more likely to be of this format:<\/p>\n\n\n\n

Example<\/em>:
The diagram shows two points P and Q. On the diagram shade the region which contains all the points which satisfy both the following: the distance from P is less than 3cm, the distance from P is greater than the distance from Q.<\/p>\n\n\n\n

\"loci-h8\"<\/figure><\/div>\n\n\n\n

All of the points on the circumference of the circle are 3cm from P. Therefore all of the points satisfying the condition that the distance from P is less than 3cm are in the circle.
If we draw a line in the middle of P and Q, all of the points on this line will be the same distance from P as they are from Q. They will be therefore closer to Q, and further away from P, if they are on the right of such a line.
Therefore all of the points satisfying both of these conditions are shaded in red.<\/p>\n","protected":false},"excerpt":{"rendered":"

Want to download the Loci & Constructions revision notes in PDF format? A locus is a set of points satisfying a certain condition. The term ‘locus’, however, is rarely used in exams. The question is more likely to be of this format: Example:The diagram shows two points P and Q. On the diagram shade the … <\/p>\n

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