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ICSE Question Bank
2017Q8(b)(ii)Tangents and Intersecting Chords
ConstructionModerate1.5 marks
8(b)

In the given figure PQ is a tangent to the circle at A, AB and AD are bisectors of ∠CAQ and ∠PAC. If ∠BAQ = 30°, prove that:

Figure for this question

ABC is an isosceles triangle

Topic: Tangents / intersecting chords

Previous-year question practice database

Answer

Exam answer

∠BAQ = ∠BCA = 30o

Explanation

∠BAQ = ∠BCA = 30o ∵ AB is a chord and PQ tangent ∴angle in the alternate segment are equal ∴ ∆ABC is an isosceles triangle. D C B A P Q

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