WBBSEClass XMathematicsConstruction of Tangent to a Circle05 Mark2022 Easy

QQuestion

Describe the process of drawing one tangent to a circle from an external point.

Exam-ready answer 05 Mark

Answer

Construction:

  1. Draw the given circle with center O and mark the external point P.
  2. Join OP.
  3. Find M, the midpoint of OP (use the perpendicular bisector of OP).
  4. With center M and radius OM, draw a circle having diameter OP.
  5. Let this circle cut the given circle at T.
  6. Join PT. PT is the required tangent (if you need only one, use this PT; the second tangent comes from the other intersection).
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