IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 751 - 752 of 968

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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 poly1Triangle poly1: Polygon P, A, OCircle cCircle c: Circle through B_1 with center OCircle dCircle d: Circle through D with center AAngle?Angle? : Angle between O, B, PAngle?Angle? : Angle between O, B, PAngle?Angle? : Angle between O, B, PAngle?Angle? : Angle between Q, B, OAngle?Angle? : Angle between Q, B, OAngle?Angle? : Angle between Q, B, OAngle?Angle? : Angle between A, P, OAngle?Angle? : Angle between A, P, OAngle?Angle? : Angle between A, P, OAngle?Angle? : Angle between O, A, PAngle?Angle? : Angle between O, A, PAngle?Angle? : Angle between O, A, PAngle?Angle? : Angle between P, O, AAngle?Angle? : Angle between P, O, AAngle?Angle? : Angle between P, O, AAngle?Angle? : Angle between B, P, AAngle?Angle? : Angle between B, P, AAngle?Angle? : Angle between B, P, ASegment fSegment f: Segment [B, F] Segment gSegment g: Segment [B, G] Segment hSegment h: Segment [B, O] Segment oSegment o: Segment [P, A] of Triangle poly1Segment pSegment p: Segment [A, O] of Triangle poly1Segment aSegment a: Segment [O, P] of Triangle poly1Point OO = (0.04,2.74) Point OO = (0.04,2.74) Point OO = (0.04,2.74) Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint BPoint B: Point on dPoint BPoint B: Point on dPoint BPoint B: Point on dPoint PPoint P: Intersection point of c, dPoint PPoint P: Intersection point of c, dPoint PPoint P: Intersection point of c, dPoint QPoint Q: Intersection point of c, dPoint QPoint Q: Intersection point of c, dPoint QPoint Q: Intersection point of c, d

Two Circle with Radius 5 Cm Are Given

Choices

Choice (4)Response

a.

Only 2

b.

Only 3

c.

Only 4

d.

Only 1

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