NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 123 - 123 of 2000

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Question number: 123

» Mathematics » Circles

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Two circles intersect in A and B. Quadrilaterals PCBA and ABDE are inscribed in these circles such that PAE and CBD are line segments. If and . Find the value of Z.

Circle c Circle c: Circle through B with center O Circle c_1 Circle c_1: Circle through D with center O_1 Arc d Arc d: Semicircle through F and G Arc e Arc e: Semicircle through H and I Arc p Arc p: Semicircle through J and K Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [B, C] Segment h Segment h: Segment [B, D] Segment i Segment i: Segment [D, E] Segment j Segment j: Segment [E, A] Segment k Segment k: Segment [A, P] Segment l Segment l: Segment [P, C] Point O O = (2.54,3.16) Point O O = (2.54,3.16) Point O O = (2.54,3.16) Point B B = (4.48,1.4) Point B B = (4.48,1.4) Point B B = (4.48,1.4) Point D D = (7.78,1.1) Point D D = (7.78,1.1) Point D D = (7.78,1.1) Point A Point A: Intersection point of c, c_1 Point A Point A: Intersection point of c, c_1 Point A Point A: Intersection point of c, c_1 Point C Point C: Point on c Point C Point C: Point on c Point C Point C: Point on c Point E Point E: Point on c_1 Point E Point E: Point on c_1 Point E Point E: Point on c_1 Point P Point P: Point on c Point P Point P: Point on c Point P Point P: Point on c 85â° text1 = “85â°” 50â° text1_1 = “50â°” zâ° text1_2 = “zâ°”

Image of Two Circles Intersect in a and B

Representing the image of two circles intersect in A and B

Choices

Choice (4) Response

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