CBSE Class 10 Answered
Given
PT is a tangent to a circle , A is the point of contact of the tangent with the circle
To prove
The perpendicular at the point of contact to the tangent to a circle passes through the centre.
Proof
As we know that the tangent at any point of a circle is perpendicular to the radius through the point of contact and also the radius passes through the centre of the circle.
Thus it is proved that the perpendicular at the point of contact to the tangent to a circle passes through the centre.
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