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Draw a Circle with Centre P. Draw an Arc Ab of 100° Measure. Draw Tangents to the Circle at Point a and Point B. - Geometry Mathematics 2

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Question

Draw a circle with centre P. Draw an arc AB of 100° measure. Draw tangents to the circle at point A and point B.

Diagram

Solution

Steps of Construction:
Step 1: Draw a circle with centre P and any radius.
Step 2: Take any point A on the circle.
Step 3:  Construct ∠APB = 100°, such that point B is on the circle.
Step 4: Draw rays PA and PB. 
Step 5: Draw line l perpendicular to ray PX through point A.
Step 6: Draw line m perpendicular to ray PY through point B.

Here, line l and line m are the required tangents to the circle at the point A and point B, respectively.

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Chapter 4: Geometric Constructions - Problem Set 4 [Page 99]

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