IMO- Mathematics Olympiad Class 10: Questions 759 - 760 of 889

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Question number: 759

» Area, Surface Area & Volume

MCQ▾

Question

Three solid metallic spheres of radii 2, 8and10 centimeters are melted to form a single solid sphere. The radius of the sphere so formed is ________.

Choices

Choice (4) Response

a.

21223cm

b.

21903cm

c.

21823cm

d.

21723cm

Question number: 760

» Triangle, Circle & Constructions

MCQ▾

Question

In the figure, ADBC,BEAC,CFAB, then AP2+BD2+CE2is________

Triangle poly1 Triangle poly1: Polygon A, B, CAngle? Angle? : Angle between O, F, G’Angle? Angle? : Angle between O, F, G’Angle? Angle? : Angle between O, F, G’Angle? Angle? : Angle between C, D, C’Angle? Angle? : Angle between C, D, C’Angle? Angle? : Angle between C, D, C’Angle? Angle? : Angle between A, E, A’Angle? Angle? : Angle between A, E, A’Angle? Angle? : Angle between A, E, A’Segment c Segment c: Segment [A, B] of Triangle poly1Segment a Segment a: Segment [B, C] of Triangle poly1Segment b Segment b: Segment [C, A] of Triangle poly1Segment f Segment f: Segment [A, D] Segment g Segment g: Segment [C, F] Segment h Segment h: Segment [B, E] Point A A = (0.6, 4.04) Point A A = (0.6, 4.04) Point A A = (0.6, 4.04) Point B B = (-1.44, 0.96) Point B B = (-1.44, 0.96) Point B B = (-1.44, 0.96) Point C C = (2.68, 0.96) Point C C = (2.68, 0.96) Point C C = (2.68, 0.96) Point D Point D: Point on aPoint D Point D: Point on aPoint D Point D: Point on aPoint F Point F: Point on cPoint F Point F: Point on cPoint F Point F: Point on cPoint E Point E: Point on bPoint E Point E: Point on bPoint E Point E: Point on bPoint O Point O: Intersection point of f, gPoint O Point O: Intersection point of f, gPoint O Point O: Intersection point of f, g

Triangle of ABC

Triangle of ABC, AD⊥BC, BE⊥AC, CF⊥AB

Choices

Choice (4) Response

a.

AE2+BF2+CD2

b.

OD2+OE2+OF2

c.

OA2+OB2+OC2

d.

AB2+BC2+AC2

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