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A line drawn drom the centre of a circle...

A line drawn drom the centre of a circle to a chord always bisects it. (True/False).

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The correct Answer is:
False
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The perpendicular from the centre of a circle to a chord bisects the chord.

The perpendicular from the centre of a circle to a chord bisects the chord.

Knowledge Check

  • The straight line drawn from the centre of a circle perpendicular to a chord ul("P") the chord. A straight line will not cut a circle in more than ul("O") distinct points. ul("R") chords of a circle are equidistant from the centre of the circle.

    A
    `{:("P","Q","R"),("Trisect","Three","Perpendicular"):}`
    B
    `{:("P","Q","R"),("Defines","Two","Equal"):}`
    C
    `{:("P","Q","R"),("Bisects","Two","Equal"):}`
    D
    `{:("P","Q","R"),("Bisects","Three","Parallel"):}`

  • A 5 cm long perpendicular is drawn from the centre of a circle to a 24 cm long chord. Find the diameter of the circle.

    A
    A) 26 cm
    B
    B) 32 cm
    C
    C) 13 cm
    D
    D) 30 cm

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    Theorem 10.3 : The perpendicular from the centre of a circle to a chord bisects the chord.

    Theorem 10.4 : The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

    Two equal chords of a circle are always paralllel. (True/False).

    Say true or false : The centre of a circle is always in its interior.

    Theorem :-2The perpendicular from centre of a circle to the chord bisects the chord and Perpendicular bisectors of two chords of a circle intersects at the centre.

    Line joining the centres of two intersecting circles always bisect their common chord. (True/False).

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