IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 794 - 796 of 968

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Question number: 794

» Triangle, Circle & Constructions

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MCQ▾

Question

is right angled at B. The radius of the incircle is________.

Triangle poly1 Triangle poly1: Polygon A, B, C Circle d Circle d: Circle through F with center O Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment f Segment f: Segment [B, D] Segment g Segment g: Segment [E, G] Segment h Segment h: Segment [G, H] Segment i Segment i: Segment [G, I] Segment j Segment j: Segment [G, J] A text1 = “A” B text2 = “B” C text3 = “C” P text4 = “P” M text5 = “M” r text6 = “r” r text7 = “r” r text8 = “r” 7cm text9 = “7cm” 6cm text10 = “6cm”

Triangle ABC is Right Angled

Triangle ABC is right angled at B. BC = 6cm, AB = 7cm

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 795

» Area, Surface Area & Volume

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MCQ▾

Question

O is the center of a circle of diameter and is a square, if the shaded area is area of the square, then the side of square is________.

Image showing the Circle and square

Image Showing the Circle and Square

O is the center of the circle, diameter 8 cm. and OPQR is a square. A shaded area is 1/4 area of square.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 796

» Triangle, Circle & Constructions

Edit
MCQ▾

Question

is right angled at N. The radius of the incircle is________.

Triangle poly1 Triangle poly1: Polygon A, B, C Circle d Circle d: Circle through F with center O Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment f Segment f: Segment [B, D] Segment g Segment g: Segment [E, G] Segment h Segment h: Segment [G, H] Segment i Segment i: Segment [G, I] Segment j Segment j: Segment [G, J] M text1 = “M” N text2 = “N” O text3 = “O” A text4 = “A” P text5 = “P” r text6 = “r” r text7 = “r” r text8 = “r” 4cm text9 = “4cm” 2cm text10 = “2cm”

Triangle MNO is Right Angled

Triangle MNO is right angled at N. NO = 6cm, MN = 8cm

Choices

Choice (4) Response

a.

b.

c.

d.