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Theorem: A tangent to a circle is perpen...

Theorem: A tangent to a circle is perpendicular to the radius through the point of contact.

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Theorem 10.1 : The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Prove that the tangent at any point of circle is perpendicular to the radius through the point of contact.

Knowledge Check

  • Assertion(A) At a point P of a circle with centre O and radius 12cm , a tangent PQ of length 16cm is drawn. Then, OQ=20cm . Reason (R ) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

    A
    Both Assertion (A) and Reason (R ) are true and Reason (R ) is a correct explanation of Asseration (A).
    B
    Both Assertion (A) and Reason (R ) are true but Reason (R ) is not a correct explanation of Asseration (A).
    C
    Assertion(A) is true and Reason (R ) is false.
    D
    Assertion(A) is false and Reason (R ) is true.
  • A tangent at any point of a circle is perpendicular to the radius through the _____.

    A
    chord
    B
    diameter
    C
    point of contact
    D
    all of the above
  • The tangent at any point of the circle is _______to the radius through the point of contact.

    A
    A)parallel
    B
    B)Intersecting
    C
    C)perpendicular
    D
    D)equal
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