In the given figure- OC is perpendicular to the chord AB- nbsp-If AB - 8 cm- then the value of BC is nbsp- -6 cm8 cm4 cm3 cm

The correct option is C 4 cmIn the given figure,OC⊥ AB, and AB = nbsp; 8 cm. nbsp; A perpendicular drawn from the centre of the circle to a chord divides th ...

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Standard IX

Mathematics

Chord Theorem 1

In the given ...

Question

In the given figure, OC is perpendicular to the chord AB. If AB = 8 cm, then the value of BC is .

6 cm

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8 cm

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4 cm

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3 cm

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Solution

The correct option is C 4 cm
In the given figure, $O C ⊥ A B,$ and AB = 8 cm.
A perpendicular drawn from the centre of the circle to a chord divides the chord into two equal parts,
$∴ A C = C B$
$B C = \frac{A B}{2}$
BC = 4 cm
Hence, the value of BC is 4 cm.

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