Q. 44.8( 6 Votes )
Construct tangents at the ends of the diameter of a circle of radius 3 cm. With the tangents intersect each other? Give reason for your answer.
Answer :
Steps of Construction:
1. Draw a circle with center O and radius 3cm.
2. Draw a diameter AB of this circle.
3. Extend OA such that OA=AP.
4. Extend OB such OB=BQ.
5. Draw a perpendicular bisector of OP.
6. This perpendicular bisector is the tangent at A.
7. Draw a perpendicular bisector of OQ.
8. This perpendicular bisector is the tangent at B.
No, these tangents will not intersect. They are parallel lines. Sum of internal angles is 180°. That’s why they are parallel.
∠CAO + ∠DBO = 90° + 90° = 180°
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