IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 818 - 819 of 968

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Question number: 818

» Area, Surface Area & Volume

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MCQ▾

Question

The perimeter of a sector of a circle of radius is The area of the sector is________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 819

» Triangle, Circle & Constructions

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MCQ▾

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In the given figure, PNQR is cyclic quadrilateral and MO is tangent to the circle with center ‘S’. PQ is diameter, the ________.

Quadrilateral poly1 Quadrilateral poly1: Polygon P, N, Q, R Circle c Circle c: Circle through B_1 with center S Angle? Angle? : Angle between M, N, P Angle? Angle? : Angle between M, N, P Angle? Angle? : Angle between M, N, P Angle? Angle? : Angle between P, Q, R Angle? Angle? : Angle between P, Q, R Angle? Angle? : Angle between P, Q, R Segment c_1 Segment c_1: Segment [P, N] of Quadrilateral poly1 Segment d Segment d: Segment [N, Q] of Quadrilateral poly1 Segment e Segment e: Segment [Q, R] of Quadrilateral poly1 Segment f Segment f: Segment [R, P] of Quadrilateral poly1 Segment g Segment g: Segment [P, Q] Vector u Vector u: Vector [N, O] Vector u Vector u: Vector [N, O] Vector v Vector v: Vector [N, M] Vector v Vector v: Vector [N, M] Point S S = (7.76, -0.34) Point S S = (7.76, -0.34) Point S S = (7.76, -0.34) Point P Point P: Point on c Point P Point P: Point on c Point P Point P: Point on c Point N Point N: Point on c Point N Point N: Point on c Point N Point N: Point on c Point Q Point Q: Point on c Point Q Point Q: Point on c Point Q Point Q: Point on c Point R Point R: Point on c Point R Point R: Point on c Point R Point R: Point on c Point O O = (10.78, -1.08) Point O O = (10.78, -1.08) Point O O = (10.78, -1.08) Point M M = (7.14,2.7) Point M M = (7.14,2.7) Point M M = (7.14,2.7)

PNQR is Cyclic Quadrilateral

PNQR is cyclic quadrilateral and MO is tangent to the circle with center ‘S’. PQ is diameter, ∠MNP = 60°, ∠PQR = 40°

Choices

Choice (4) Response

a.

b.

c.

d.