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The perpendicular from the centre of a c...

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

Text Solution

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In `/_\OXA` and `/_\OXB`,
`/_OXA=/_OXB` (perpendicular angles)
`OA=OB` (Radius)
`OX-=OX` (Common)
By RHS rule, `/_\OXA` and `/_\OXB` are congruent.
`AX=BX` (CPCT)
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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
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    B
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    C
    13 cm
    D
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