Mathematics
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.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Answer
The longer the chord, the closer it is to the center.
The shorter the chord, the farther it is from the center.
Assertion (A) is false.
If two chords are equidistant from the center, they must be equal in length, but they do not have to be necessarily parallel.
Reason (R) is false.
Both A and R are false.
Hence, option 4 is the correct option.
Related Questions
Assertion (A): In the figure, AB and AC are equal chords of a circle with centre O. If OD = 4 cm, then OE is also 4 cm.
Reason (R): Equal chords of a circle are equidistant from the centre.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
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.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
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