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प्रश्न
As shown in the figure. two concentric circles are given and line AB is the tangent to the smaller circle at T. Shown that T is the midpoint of Seg AB
उत्तर
proof OT is perpendicular to AB (as AB = tangent)
other Method -
In ΔAOT, ΔOTB
∠OTB = ∠OTB = 90°
OT = OT = common
OA = OB = radii
∴ ΔAOT ≅ ΔBOT
∴ At = BT ( by cpct)
Now, we know that if a perpendicular is drawn to any chord from the centre, it bisects the chord.
∴ AT = TB
Hence, This midpoint of AB.
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