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AB and CD are two intersecting lines. Find the position of a point which is at a distance of 2 cm from AB and 1.6 cm from CD. - Mathematics

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Question

AB and CD are two intersecting lines. Find the position of a point which is at a distance of 2 cm from AB and 1.6 cm from CD.

Geometric Constructions
Long Answer
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Solution

  • Draw the intersecting lines AB and CD.
  • A point that is 2 cm away from AB must lie on one of the two lines drawn parallel to AB at a distance of 2 cm.
  • A point that is 1.6 cm away from CD must lie on one of the two lines drawn parallel to CD at a distance of 1.6 cm.
  • The intersection points of these two sets of parallel lines give the required positions of the point.
  • The point marked M is one such point, which is 2 cm from AB and 1.6 cm from CD.

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Chapter 14: Locus - CHAPTER TEST [Page 305]

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Nootan Mathematics [English] Class 10 ICSE
Chapter 14 Locus
CHAPTER TEST | Q 3. | Page 305
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