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Question
Draw a circle with radius 4 cm and construct two tangents to a circle such that when those two tangents intersect each other outside the circle they make an angle of 60° with each other
Solution
Analysis:
As shown in the figure,
In ▢AOBC,
∠A = ∠B = 90° ......[Tangent theorem]
∠C = 60° ......[Given]
∴ ∠O = 120° ......[Remaning angle of ▢AOBC]
Steps of constructions:
- With centre O, draw a circle of radius 4 cm.
- Take any point A on the circle and draw ray OA.
- Draw line l ⊥ ray OA at point A.
- Draw ray OB such that ∠AOB = 120°. Point B must be on the circle.
- Draw line m ⊥ ray OB at point B.
l and m are the required tangents.
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