Statement-I If $AB$ and $CD$ are two chords of a circle and $A B > C D$ , then the chord which is nearer to the centre is $CD$ .
Statement-II If the longest chord of a circle is of length $14 c m$ , then the circumference of the circle is $44 c m$

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Statement I is False, Statement II is True

Statement I is True, Statement II is True

Statement I is True, Statement II is False

Statement I is False, Statement II is False

answer is D.

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Detailed Solution

I)The longest chord of a circle is nearer to the centre of circle.

Chord AB is nearer to centre of the circle $(∵ A B > C D)$

II)Longest chord of a circle is diameter of circle.

Diameter = 14cm

Radius = 7cm

Circumference of a circle $= 2 π r$

$= 2 \times \frac{22}{7} \times 7$

$= 44 cm$

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