In the given figure PQ is a tangent to the ...

ICSE Class X Math 2017 Paper

Question : 22 of 31

Marks: +1, -0

In the given figure

PQ

is a tangent to the circle at

A \cdot AB

and

AD

are bisectors of

\angle CAQ

and

\angle PAC

. IF

\angle BAQ = 30^{\circ}

, prove that:

(i)

BD

is a diameter of the circle.

(ii)

ABC

is an isosceles triangle.

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