31 Two chords AB and AC of a circle are equal. Prove that the centre of the circle lies on the angle
of angle BAC.
4. AB and CD are two parallel chords of a circle which are on opposite sides of the centre such that AE
cm, CD = 24 cm and the distance between AB and CD is 17 cm. Find the radius of the circle.
id and the circumcentre coincide.
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Step-by-step explanation:
r2=x2+(5)2
also, r2=(17−x)2+(12)2
So, x2+(5)2=(17−x)2+(12)2
x2+25=(17−x)2+144
⇒x=12
∴r2=144+25=169
⇒r=13cm
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