Question

Prove that tangent drawn at any point of a circle is perpendicular to the radius throug the point of contact

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

given: a circle with center O with tangent xy at point of contact p.

to prove: op perpendicular on XY.

proof: let Q be point on XY contact OQ suppose it touches the circle at R.

Hence,

OQ>OR

OQ> OP (as OP=OR radius)

same will be the case with all other points on circle.Hence OP is the smallest line that contacts XY.

Hence,OP is the smallest line that contacts XY and smallest line is perpendicular

therefore OP perpendicular on XY

proved