Question

The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Answer 1

Answer:

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Answer 2

Answer:

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GIVEN:- a circle with the center 'O' with tangent XY at the point of contact P.

TO PROVE:- OP perpendicular to XY.

PROOF :- let Q be point on XY join OQ suppose it touches the circle at 'R'

HENCE , OQ >OR [OP = OR RADIUS]

OQ > OP

hence , OP is the smallest line that connects XY and smallest line is perpendicular.

THEREFORE :- OPis perpendicular to XY✔