# Class 10 Math Chords of a Circle

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$3. If length of the chord \overline{A B}=8 \mathrm{~cm} . Its distance from the centre is 3 \mathrm{~cm} then find the diameter of such circle.$

$(xi) Locus of a point in a plane equidistant from a fixed point is called(a) radius(b) circle(c) circumference(d) diameter$

$Example: Prove that the largest chord in a circle is the diameter.$

$(v) Radii of a circle are(a) all equal(b) - double of the diameter(c) all unequal(d) half of any chord$

$2. Two chords of a circle do not pass through the centre. Prove that they cannot bisect each other.$

$(ii) In the circular figure A \widehat{C B} is called(a) an arc(b) a secant(c) a chord(d) a diameter$