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(Converse of Theorem 3) The line joining...

(Converse of Theorem 3) The line joining the centre of a circle to the mid-point of a chord is perpendicular to the chord.

Text Solution

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In `/_\AOX` and `/_\BOX`
`OA=OB` (radius)
`OX=OX` (Common)
`AX=BX` (given)
By SSS congruency, `/_\AOX` and `/_\BOX` are congruent.
`/_AXO=/_BXO` (CPCT)
' In line `AB`,
...
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Knowledge Check

  • 2 parallel chords 24 cm, and 18 cm, are on the same side of the centre of a circle. If the distance between the chords is 3 cm, calculate the radius of the circle.

    A
    15 cm
    B
    14 cm
    C
    13 cm
    D
    12 cm

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