Mathematics
Two chords of a circle of lengths 10 cm and 8 cm are at the distances of 6 cm and 5 cm respectively from the centre. This statement is :
True
False
Can't say anything
Data inadequate
Circles
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Answer
The statement is false because there is an inverse relationship between the chord length and its distance from the center :
The longer the chord, the closer it is to the center.
The shorter the chord, the farther it is from the center.
Hence, option 2 is the correct option.
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Related Questions
Assertion (A): Longer is the chord, longer is its distance from the centre.
Reason (R): Chords of a circle that are equidistant from the centre of the circle are parallel to each other.
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Assertion (A): Equal chords of a circle subtend equal angles at the centre of the circle.
Reason (R): One and only one circle can be drawn passing through three points.
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The radius of a circle is 13 cm and length of chord is 10 cm. The shortest distance between chord and the centre is:
12 cm
15 cm
16 cm
18 cm
In the circle, chord AB of length 12 cm is bisected by diameter CD at P, so that CP = 3 cm. Radius of the circle is:
5.2 cm
6.5 cm
7.5 cm
8.3 cm