The locus of points within a circle that is equidistant from the endpoints of a given chord is a diameter which is perpendicular bisector of the given chord.

True

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False

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Solution

The correct option is A
True

The locus of points within a circle that is equidistant from the endpoints of a given chord is a diameter which is perpendicular bisector of the given chord.

(Note that this is true as the perpendicular bisector of chord passses through the centre of the circle).

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Similar questions

Describe:

(i) The locus of points at distances less than 3 cm from a given point.

(ii) The locus of points at distances greater than 4 cm from a given point.

(iii) The locus of points at distances less than 2.5 cm from a given point.

(iv) The locus of points at distances greater than or equal to 35 mm cm from a given point.

(v) The locus of the centre of a given circle which rolls around the outside of a second circle and is always touching it.

(vi) The locus of the centres of all circles that are tangent to both the arms of a given angle.

(vii) The locus of the mid-points of all chords parallel to a given chord of a circle.

(viii) The locus of points within a circle that are equidistant from the end points of a given chord.

Q. STATEMENT - 1 : The locus of the middle points of equal chords of a circle with centre at O is a circle with centre at O
STATEMENT - 2 : The mid point of the equal chords are equidistant from the centre of the circle.

Q. The radius of a circle is 16cm the mid point of a chord of a circle lies on the diameter perpendicular to the chord and its distance from one end of the diameter is 3cm; find the length of that chord.

Q. From points on a given circle tangents are drawn to another circle. Prove that the locus of the mid-points of the chord of contact is also a circle.

PQ and RQ are chords of a circle equidistant from the centre and S is a point on the circle,such that QS forms diameter. Prove that the diameter QS bisects $∠$ PQR and $∠$ PSR.

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The locus of points within a circle that is equidistant from the endpoints of a given chord is a diameter which is perpendicular bisector of the given chord.

The correct option is A True The locus of points within a circle that is equidistant from the endpoints of a given chord is a diameter which is perpendicular bisector of the given chord. (Note that this is true as the perpendicular bisector of chord passses through the centre of the circle).

The correct option is A
True

The locus of points within a circle that is equidistant from the endpoints of a given chord is a diameter which is perpendicular bisector of the given chord.

(Note that this is true as the perpendicular bisector of chord passses through the centre of the circle).