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Draw a Circle with the Help of a Bangle. Take Any Point P Outside the Circle. Construct the Pair of Tangents Form the Point P to the Circle - Mathematics

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Question

Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents form the point P to the circle

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Solution

Steps of Construction
Step 1: Draw a circle with the help of a bangle.
Step 2: Mark a point P outside the circle.
Step 3: Through P. draw a secant PAB to intersect the circle at A and B.
Step 4: Produce AP to C such that PA = PC.
Step 5: Draw a semicircle with CB as diameter.
Step 6: Draw PD ⊥ BC, intersecting the semicircle at D.
Step 7: With P as center and PD as radius, draw arcs to intersect the circle at T and T’.
Step 8: Join PT and PT’S.

Here, PT and PT’ are the required pair of tangents.

 

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Chapter 13: Constructions - Exercises 2

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 13 Constructions
Exercises 2 | Q 5
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