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Chord

Identify long...

Question

Identify longest chords in the given figure.

CD, AD

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AB, BC

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AB, CD

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BC, AD

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Solution

The correct option is D
BC, AD

The chords of the given circle are AB, CD, BC and AD.

The diameter of a circle is its longest chord.

Since BC and AD pass through the center(O) of the circle, they are the diameters of the circle and hence, the longest chords.

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Similar questions

In the given figure, if AD = BC and AD || BC, then

A B | | C D

B C | | A D .

In a trapezium ABCD, if AB || CD then $(A C^{2} + B D^{2})$ = ?

(a) $B C^{2} + A D^{2} + 2 B C . A D$

(b) $A B^{2} + C D^{2} + 2 A B . C D$

(d) $B C^{2} + A D^{2} + 2 A B . C D$

∠ B A C = 90^{\circ} a n d A D ⊥ B C

B D . C D = B C^{2}

A B . A C = B C^{2}

B D . C D = A D^{2}

A B . A C = A D^{2}

A C + B D = A D + B C

A B + C D = A D - B C

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