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The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°. Calculate, in terms of a° - Mathematics

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प्रश्न

The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°.

Calculate, in terms of a°, the value of : ∠ACB,

Give reasons for your answers clearly.

योग

उत्तर


OABC is a cyclic quadrilateral

∴ ∠AOB + ∠ACB = 180° 

(Pair of opposite angles in a cyclic quadrilateral are supplementary)

`=>` ∠ACB = 180° – 2a°

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अध्याय 17: Circles - Exercise 17 (A) [पृष्ठ २६०]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 17 Circles
Exercise 17 (A) | Q 33.2 | पृष्ठ २६०

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