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How can you prove the converse of the ab...

How can you prove the converse of the above theorem.
" If a line in the plane of a circle is perpendicular to the radius at its endpoint on the circle, then the line is tangent of the circle ".

Answer

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Knowledge Check

  • The radical axis of the two circleS and the line of centres of those circleS are

    A
    perpendicular
    B
    parallel
    C
    intersecting but not fully perpendicular
    D
    neither parallel nor perpendicular

  • The vertical plane dip circle is perpendicular to the magnetic meridian. The dip needle reads

    A
    0-0
    B
    45-45
    C
    90-90
    D
    60-60

  • The point (5,-7) lines outside the circle

    A
    `x^(2)+y^(2)-5x+7y-1=0`
    B
    `x^(2)+y^(2)-8x+7y-2=0`
    C
    `x^(2)+y^(2)-8x=0`
    D
    `x^(2)+y^(2)-5x+7y=0`

    • Similar Questions

    Explore conceptually related problems

    Prove that 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 a circle is perpendicular to the radius through the point of contacts .

    Prove that "the tangent at any point of a circle is perpendicular to the radius through the point of contact" OR Prove that "the lengths of tangents drawn from an external point to a circle are equal"

    If the radius of a circle is doubled, what about its area ?

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