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Draw a Circle of Radius 3 Cm. Form a Point P, 7 Cm Away from the Centre of the Circle, Draw Two Tangents to the Circle. Also, Measure the Lengths of the Tangents - Mathematics

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Question

Draw a circle of radius 3 cm. Form a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents

Solution

Steps of Construction
Step 1: Draw a circle with O as center and radius 3 cm.
Step 2: Mark a point P outside the circle such that OP = 7cm.
Step 3: Join OP. Draw the perpendicular bisector XY of OP. cutting OP at Q.
Step 4: Draw a circle with Q as center and radius PQ (or OQ), to intersect the given circle at the points T and T’.
Step 5: Join PT and PT’.

Here, PT and PT’ are the required tangents.
PT = PT ' = 6.3cm(Approx)

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Chapter 13: Constructions - Exercises 2

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RS Aggarwal Mathematics [English] Class 10
Chapter 13 Constructions
Exercises 2 | Q 1
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