IMO- Mathematics Olympiad Class 10: Questions 820 - 821 of 889

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Question number: 820

» Area, Surface Area & Volume

MCQ▾

Question

A sphere of radius 5cm is dropped into a cylindrical vessel, partly filled with water. The radius of the vessel is 7cm. If the sphere is submerged completely, then the surface of the water rises by________.

Choices

Choice (4) Response
a.

0.85 cm

b.

3.22 cm

c.

2.66 cm

d.

3.4 cm

Question number: 821

» Triangle, Circle & Constructions

MCQ▾

Question

In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose three sides are AB=6cm,BC=7cm,CD=4cm then AD equals________.

Quadrilateral poly1 Quadrilateral poly1: Polygon D, C, B, ACircle c Circle c: Circle through B_1 with center A_1Segment c_1 Segment c_1: Segment [D, C] of Quadrilateral poly1Segment d Segment d: Segment [C, B] of Quadrilateral poly1Segment e Segment e: Segment [B, A] of Quadrilateral poly1Segment f Segment f: Segment [A, D] of Quadrilateral poly1Point D D = (-0.29, 3.14) Point D D = (-0.29, 3.14) Point D D = (-0.29, 3.14) Point C C = (1.41, 3.14) Point C C = (1.41, 3.14) Point C C = (1.41, 3.14) Point B B = (0.96, 1.82) Point B B = (0.96, 1.82) Point B B = (0.96, 1.82) Point A A = (-0.07, 1.83) Point A A = (-0.07, 1.83) Point A A = (-0.07, 1.83) Point R Point R: Point on c_1Point R Point R: Point on c_1Point R Point R: Point on c_1Point Q Point Q: Intersection point of c, dPoint Q Point Q: Intersection point of c, dPoint Q Point Q: Intersection point of c, dPoint S Point S: Point on fPoint S Point S: Point on fPoint S Point S: Point on fPoint P Point P: Intersection point of c, ePoint P Point P: Intersection point of c, ePoint P Point P: Intersection point of c, e

Quadrilateral and Circle Is Given

a circle touches all the four sides of a quadrilateral ABCD whose three sides are AB = 6cm, BC = 7cm, CD = 4cm

Choices

Choice (4) Response
a.

3 cm

b.

11 cm

c.

10 cm

d.

13 cm

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