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 poly1Triangle poly1: Polygon A, P, QCircle cCircle c: Circle through B with center A_1Angle?Angle? : Angle between P, A, MAngle?Angle? : Angle between P, A, MAngle?Angle? : Angle between M, A, QAngle?Angle? : Angle between M, A, QSegment fSegment f: Segment [S, Q] Segment gSegment g: Segment [S, E] Segment dSegment d: Segment [A, P] of Triangle poly1Segment f_1Segment f_1: Segment [P, Q] of Triangle poly1Segment g_1Segment g_1: Segment [Q, A] of Triangle poly1Segment hSegment h: Segment [A, M] Point SS = (-2.36,1.4) Point SS = (-2.36,1.4) Point SS = (-2.36,1.4) Point QPoint Q: Point on cPoint QPoint Q: Point on cPoint QPoint Q: Point on cPoint AA = (-0.8,3.42) Point AA = (-0.8,3.42) Point AA = (-0.8,3.42) Point PPoint P: Intersection point of c, fPoint PPoint P: Intersection point of c, fPoint PPoint P: Intersection point of c, fPoint MPoint M: Point on fPoint MPoint M: Point on fPoint MPoint M: Point on f

Circle and Tangent of SA

Choices

Choice (4)Response

a.

b.

c.

d.

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