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A) \( \Large 21 ^{\circ} \) |

B) \( \Large 42 ^{\circ} \) |

C) \( \Large 48 ^{\circ} \) |

D) \( \Large 84 ^{\circ} \) |

Correct Answer:

C) \( \Large 48 ^{\circ} \) |

Description for Correct answer:

AP is tangent to the circle at A. Therefore OA and AP are perpendicular to each other.

Therefore, \( \Large \angle OAP = 90 ^{\circ} \)

Again \( \Large OA\ =\ OB \)

Therefore, \( \Large \angle OAB = \angle OBA = 42 ^{\circ} \)

Therefore, \( \Large \angle PAB= \angle PAO - \angle BAO \)

= \( \Large 90 ^{\circ} - 42 ^{\circ} = 48 ^{\circ} \)

Part of solved Loci and concurrency questions and answers : >> Elementary Mathematics >> Loci and concurrency

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