In the following figure OM - ON and AB -12 cm- Then CN -A- 6 cmB- 8 cmC- 10 cmD- 9 cm

The correct option is A 6cmGiven, OM = ON. i.e., nbsp;chord AB and chord CD are equidistant from the nbsp;centre O. Hence, nbsp;they are equal. ∴ AB = CD ...

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Byju's Answer

Standard IX

Mathematics

Chord Theorem 1

In the follow...

Question

In the following figure OM=ON and AB=12cm. Then CN= .

6cm

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8cm

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10cm

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9cm

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Solution

The correct option is A 6cm
Given, OM = ON.
i.e., chord AB and chord CD are equidistant from the centre O.
Hence, they are equal.
$∴$ AB = CD = 12 cm
$(∵$ Chords that are equidistant from the center are equal)

CN = ND
( $∵$ Perpendicular from centre of the circle to a chord bisects the chord)
$∴ C N =$ 6cm

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