(a) In Fig. 1, {\AB} is diameter of a circle centered at {\O} . {\BC} is tangent to the circle at {\B}. If {\OP} bisects the chord {\AD} and \angle {\AOP}=60^{\circ}, then find {\m} \angle {\C}. (b) In Fig. 2, XAY is a tangent to the circle centered at {\O}. If \angle {\ABO}=40^{\circ}, then find {\m} \angle {\BAY} and {\m} \angle {\AOB}.

CBSE Class 10 Math 2022 Delhi Set 1 Paper (Term II)

Question : 4

Total: 14

(a) In Fig. 1,AB is diameter of a circle centered at O.BC is tangent to the circle at B. If OP bisects the chord AD and ∠AOP=60∘, then find m∠C.

(b) In Fig. 2, XAY is a tangent to the circle centered at O. If ∠ABO=40∘, then find m∠BAY and m∠AOB.

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