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Prove by vertor metord thtat if a line i...

Prove by vertor metord thtat if a line is drawn frome the centre of a circle of a circle to the midpoint of a chord then the line is perpendicular to the chord

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A chord is 12cm away from the centre of the circle of radius 15cm. Find the length of the chord.

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Knowledge Check

  • A chord is at a distance of 15cm from the centre of the circle of radius 25cm. The length of the chord is

    A
    25cm
    B
    20cm
    C
    40cm
    D
    18cm

  • A chord is at a distance of 15 cm from the center of the circle of radius 25 cm. The length of the chord is

    A
    25 cm
    B
    20 cm
    C
    40 cm
    D
    18 cm

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    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 ".

    Every chord of a circle is a diameter.

    Every radius of a circle is a chord

    Every chord of a circle contains exactly two points of the circle .

    If two circles intersect at two points, then prove that their centres lie on the perpendicular bisector of the common chord.

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