3. XY is the required tangent to the
given circle passing through P.
Can you draw one more tangent through P? give reason
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How can you draw the tangent to a circle at a given point when the
centre of the circle is not known?
P
Hint : Draw equal angles ZQPX and ZPRO. Explain the
construction
9.2.2 FINDING LENGTH OF THE TANGENT
Can we find the length of the tangent to a circle from a given point? Is the lengt
tangents from a given point to the circle the same? Let us examine this.
Find the length of the tangent to a circle with centre 'O' and radius=6 cm.fr
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Step-by-step explanation:
2STEPS TO FOLLOW:
Given the circle of unknown center.
Draw 2 chords of unknown length AB and AD.
Draw perpendicular bisectors of AB and AD. Mark the point of intersection of perpendicular bisectors as C.
From point C, draw a radius OM.
At point M, make an ∠OMN=90
∘
MN is the required tangent.
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