Two circles touch internally at point P and a chord AB of the circle of larger radius intersects the other circle in C and D. Which of the following holds good?

a) ∠CPA = ∠DPB

b) 2 ∠CPA = ∠CPD

c) ∠APX = ∠ADP

d) ∠BPY = ∠CPD + ∠CPA

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Two circles touch internally at point P and a chord AB of the circle of larger radius intersects the other circle in C and D. Which of the following holds good? a) ∠CPA = ∠DPB b) 2 ∠CPA = ∠CPD c) ∠APX = ∠ADP d) ∠BPY = ∠CPD + ∠CPA