मराठी

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. 

आकृती
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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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संबंधित प्रश्‍न

Use ruler and compasses only for this question.

  1. Construct ΔABC, where AB = 3.5 cm, BC = 6 cm and ∠ABC = 60°.
  2. Construct the locus of points inside the triangle which are equidistant from BA and BC.
  3. Construct the locus of points inside the triangle which are equidistant from B and C.
  4. Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure and record the length of PB.

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