PQ is a tangent to a circle with centre O at the point Q.chord QA is drawn parallel to PO.if AOB is a diameter of tb circle, prove that PB us tangent to the circle at the point B.
YogitShankar:
I think this one is pretty small but don't know it's correct or not. since OB is also a radius it will be perpendicular to any line touching the circle at B and Passing through P
Tq
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I hope this is better
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<OPQ = 90° [Angle between the tangent and the radius at the point of contact is 90°]
Given that triangle OPQ is an isosceles triangle.
So, OP = PQ.
Hence, <OQP = 45°.
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