* If TP_4 To are two tanyent to a circle with centre
o from point I outside the circle at Point P & Q on the circle
& TP = 7cm then what is length of TQ ? Give reason
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Answer:
Given, ∠POQ=110
∘
We know,
∠OPT=∠OQT=90
∘
(Angle between the tangent and the radial line at the point of intersection of the tangent at the circle)
Now, in quadrilateral POQT
Sum of angles=360
∠OPT+∠OQT+∠PTQ+∠POQ=360
∘
90+90+∠PTQ+110=360
∠PTQ=360−290
∠PTQ=70
∘
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