Q. 65.0( 3 Votes )

Draw two ta

Answer :

Steps of construction:


1. Draw a circle of radius 4 cm. Draw a point B, 6cm away from the centre.



2. Join AB. Make perpendicular bisector of AB and let O be the midpoint.



3. Taking O as centre and OA as radius draw a circle.


Let it intersect at C and D. Join BC and BD.



BC and BD are two tangents.


Justification:


We need to prove BC and BD are the tangents to the circle.


Join AC and AD.



As BCA is an angle in the semi-circle of the bigger circle.


Angle in a semi-circle is of 90°.


BCA = 90°


AC BC


Since AC is a radius.


So BC is the tangent as tangent is perependicular to radius.


Similarly BD is tangent.


Hence construction is justifided.

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