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Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents - Mathematics

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प्रश्न

Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.

योग

उत्तर

Steps for construction:

  1. Draw concentric circles of radius 4 cm and 6 cm with centre of O.
  2. Take point P on the outer circle.
  3. Join OP.
  4. Draw perpendicular bisectors of OP where M is the midpoint of OP.
  5. Take a distance of a point O from the point M and mark arcs from M on the inner circle it cuts at point A and B respectively.
  6. Join PA and PB.
  7. We observe that PA and PB are tangents from outer circle to inner circle are equal of a length 4.5 cm each.

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अध्याय 19: Constructions (Circles) - Exercise 19 [पृष्ठ २९३]

APPEARS IN

सेलिना Mathematics [English] Class 10 ICSE
अध्याय 19 Constructions (Circles)
Exercise 19 | Q 27 | पृष्ठ २९३

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