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The Chords Corresponding to Congruent Arcs Are Congruent

Two equal cho...

Question

Two equal chords AB and CD of a circle are such that the length of perpendicular OE on CD = 5 cm. If OF is the perpendicular on AB, then OF =

2.5 cm

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5 cm

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10 cm

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15 cm

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Solution

The correct option is B
5 cm

We know that equal chords of a circle are equidistant from the center.

Thus, OE = OF and hence, OF = 5 cm

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Similar questions

In the given figure, BOC is a diameter of a circle with centre O. If AB and CD are two chords such that AB||CD and AB = 10 cm then CD = ?

(a) 5 cm

(b) 12.5 cm

(d) 10 cm

O

A B

C D

O M

C D

O N

A B

A B = 24 c m, O N = 5 c m, O M = 12 c m

C D

O

A B

C D

O M

A B

O N

C D

A B = 24 c m, O M = 5 c m, O N = 12 c m

C D

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