Two equal chords- AB and CD are at a distance of 10 cm nbsp-from each other- The distance of chord nbsp-AB from the centre nbsp-6-cm5-cm8-cm

The correct option is B 5 cmConsider the figure: AB=CD nbsp; [Given] EF=10 cm We know that equal chords are equidistant from the centre. So, OE=OF EF=OE+OF ⇒ ...

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Standard IX

Mathematics

Equal Chords Are at Equal Distances from the Center

Two equal cho...

Question

Two equal chords, $A B$ and $C D$ are at a distance of 10 cm from each other. The distance of chord $A B$ from the centre .

6 c m

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5 c m

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8 c m

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Solution

The correct option is B $5 c m$
Consider the figure:

$A B = C D$ [Given]

$E F = 10 c m$

We know that equal chords are equidistant from the centre.

So, $O E = O F$

$E F = O E + O F$

$\Rightarrow 2 O E = 10$

$\Rightarrow O E = O F = 5 c m$

So, both the chords, $A B$ and $C D$ are equidistant from the centre and is at a distance of 5 cm.

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Two equal chords, AB and CD are at a distance of 10 cm from each other. The distance of chord AB from the centre .

The correct option is B 5 cmConsider the figure: AB=CD [Given] EF=10 cm We know that equal chords are equidistant from the centre. So, OE=OF EF=OE+OF ⇒2OE=10 ⇒OE=OF=5 cm So, both the chords, AB and CD are equidistant from the centre and is at a distance of 5 cm.

Two equal chords, $A B$ and $C D$ are at a distance of 10 cm from each other. The distance of chord $A B$ from the centre .