Draw a circle of radius 3 cm. From a point 10 cm away from its centre. Construct the pair of tangents to the circle.

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asked Jan 13, 2018 in Class X Maths by priya12 (-11,267 points)
Draw a circle of radius 3 cm. From a point 10 cm away from its centre. Construct the pair of tangents to the circle.

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answered Jan 13, 2018 by Atul Rawat Basic (28 points)

 Draw a circle with radius 3 cm and centre O.

  • Draw a line segment OP = 10 cm
  • Make perpendicular bisector of OP which intersects OP at point O’.
  • Take O’P as radius and draw another circle.
  • From point P, draw tangents to points of intersection between the two circles.
  • PQ = PR = 8 cm.
geometry construction exercise solution
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answered Jan 13, 2018 by akansha Expert (2,176 points)

Given: A circle with centre O radius 3 cm.
Required: To construct the pair of entre tangents.
Steps of Construction:
(i) Draw a circle of radius 3 cm. 
(ii)Take an external point P which is 10 cm away from its centre. Join OP.
(i) Bisect the line segment OP = 10 cm. Let the point of bisection be M.
(ii)Taking M as centre and OM as radius, drwa a circle. Let it intersect the given circle at the points Q and R.
(iii) Join PQ and PR.
These are the required tangents.
      

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