IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 750 - 752 of 968

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Question number: 750

» Triangle, Circle & Constructions

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MCQ▾

Question

In the given figure, O is the center of the circle, then is ________.

Quadrilateral poly1 Quadrilateral poly1: Polygon O, A, B, C Circle c Circle c: Circle through B_1 with center O Segment a_1 Segment a_1: Segment [O, A] of Quadrilateral poly1 Segment c_1 Segment c_1: Segment [A, B] of Quadrilateral poly1 Segment d Segment d: Segment [B, C] of Quadrilateral poly1 Segment e Segment e: Segment [C, O] of Quadrilateral poly1 Segment f Segment f: Segment [B, O] Segment g Segment g: Segment [A, C] Point O O = (0.3,2.42) Point O O = (0.3,2.42) Point O O = (0.3,2.42) Point A Point A: Point on c Point A Point A: Point on c Point A Point A: Point on c Point B Point B: Point on c Point B Point B: Point on c Point B Point B: Point on c Point C Point C: Point on c Point C Point C: Point on c Point C Point C: Point on c

Quadrilateral and Circle

O is the center of the circle and quadrilateral AOCB

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 751

» 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: 752

» Triangle, Circle & Constructions

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MCQ▾

Question

Given below are the steps of construction of a pair of tangents to a circle of radius which are inclined to each other at an angle of . Find which of the following step is wrong.

  1. Step I: Take a point O on the paper and draw a circle of radius

  2. Step II: Produce to such that

  3. Step III: Taking as the center draw a circle of radius suppose it cuts the circle drawn in step I at P and Q.

  4. Step IV: Join and to get desired tangents.

Triangle poly1 Triangle poly1: Polygon P, A, O Circle c Circle c: Circle through B_1 with center O Circle d Circle d: Circle through D with center A Angle? Angle? : Angle between O, B, P Angle? Angle? : Angle between O, B, P Angle? Angle? : Angle between O, B, P Angle? Angle? : Angle between Q, B, O Angle? Angle? : Angle between Q, B, O Angle? Angle? : Angle between Q, B, O Angle? Angle? : Angle between A, P, O Angle? Angle? : Angle between A, P, O Angle? Angle? : Angle between A, P, O Angle? Angle? : Angle between O, A, P Angle? Angle? : Angle between O, A, P Angle? Angle? : Angle between O, A, P Angle? Angle? : Angle between P, O, A Angle? Angle? : Angle between P, O, A Angle? Angle? : Angle between P, O, A Angle? Angle? : Angle between B, P, A Angle? Angle? : Angle between B, P, A Angle? Angle? : Angle between B, P, A Segment f Segment f: Segment [B, F] Segment g Segment g: Segment [B, G] Segment h Segment h: Segment [B, O] Segment o Segment o: Segment [P, A] of Triangle poly1 Segment p Segment p: Segment [A, O] of Triangle poly1 Segment a Segment a: Segment [O, P] of Triangle poly1 Point O O = (0.04,2.74) Point O O = (0.04,2.74) Point O O = (0.04,2.74) Point A Point A: Point on c Point A Point A: Point on c Point A Point A: Point on c Point B Point B: Point on d Point B Point B: Point on d Point B Point B: Point on d Point P Point P: Intersection point of c, d Point P Point P: Intersection point of c, d Point P Point P: Intersection point of c, d Point Q Point Q: Intersection point of c, d Point Q Point Q: Intersection point of c, d Point Q Point Q: Intersection point of c, d

Two Circle with Radius 5 Cm Are Given

A circle of radius 5cm which are inclined to each other at an angle of60°.

Choices

Choice (4) Response

a.

Only 2

b.

Only 3

c.

Only 4

d.

Only 1