IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 766 - 766 of 968

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Question number: 766

» Triangle, Circle & Constructions

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Question

In the given figure is tangent and is a secant to the circle. If the bisector of meets at then is________.

Triangle poly1 Triangle poly1: Polygon A, P, Q Circle c Circle c: Circle through B with center A_1 Angle? Angle? : Angle between P, A, M Angle? Angle? : Angle between P, A, M Angle? Angle? : Angle between M, A, Q Angle? Angle? : Angle between M, A, Q Segment f Segment f: Segment [S, Q] Segment g Segment g: Segment [S, E] Segment d Segment d: Segment [A, P] of Triangle poly1 Segment f_1 Segment f_1: Segment [P, Q] of Triangle poly1 Segment g_1 Segment g_1: Segment [Q, A] of Triangle poly1 Segment h Segment h: Segment [A, M] Point S S = (-2.36,1.4) Point S S = (-2.36,1.4) Point S S = (-2.36,1.4) Point Q Point Q: Point on c Point Q Point Q: Point on c Point Q Point Q: Point on c Point A A = (-0.8,3.42) Point A A = (-0.8,3.42) Point A A = (-0.8,3.42) Point P Point P: Intersection point of c, f Point P Point P: Intersection point of c, f Point P Point P: Intersection point of c, f Point M Point M: Point on f Point M Point M: Point on f Point M Point M: Point on f

Circle and Tangent of SA

SA is tangent and SPQ is a secant to the circle. The bisector of ∠PAS meets PQ at M

Choices

Choice (4) Response

a.

b.

c.

d.