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Draw a line AB = 6 cm. Draw the locus of all the points which are equidistant from A and B. - Mathematics

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प्रश्न

Draw a line AB = 6 cm. Draw the locus of all the points which are equidistant from A and B. 

आकृति

उत्तर


Steps of construction:

  1. Draw a line segment AB of 6 cm.
  2. Draw perpendicular bisector LM of AB. LM is the required locus.
  3. Take any point on LM say P.
  4. Join PA and PB. Since, P lies on the right bisector of line AB.
    Therefore, P is equidistant from A and B. 
    i.e. PA = PB
    Hence, Perpendicular bisector of AB is the locus of all points which are equidistant from A and B.
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अध्याय 16: Loci (Locus and Its Constructions) - Exercise 16 (A) [पृष्ठ २३८]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 16 Loci (Locus and Its Constructions)
Exercise 16 (A) | Q 13 | पृष्ठ २३८

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