IMO- Mathematics Olympiad Class 10: Questions 808 - 809 of 908

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Question number: 808

» Area, Surface Area & Volume

MCQ▾

Question

A sphere is placed in a cone of height 9 cm as shown in figure. The volume of sphere if it touches lateral surface and base of cone is________.

Ellipse c Ellipse c: Ellipse with foci A, B passing through CEllipse c Ellipse c: Ellipse with foci A, B passing through CCircle d Circle d: Circle through H with center GAngle? Angle? : Angle between D, E, FAngle? Angle? : Angle between D, E, FAngle? Angle? : Angle between D, E, FSegment f Segment f: Segment [D, E] Segment g Segment g: Segment [E, F] Vector u Vector u: Vector [I, J] Vector u Vector u: Vector [I, J] Vector v Vector v: Vector [I, K] Vector v Vector v: Vector [I, K] Point D Point D: Point on cPoint D Point D: Point on cPoint E E = (7.42, 2.4) Point E E = (7.42, 2.4) Point F Point F: Point on cPoint F Point F: Point on cPoint G G = (7.46, -0.6) Point G G = (7.46, -0.6) 9 cm text1 = “9 cm”

Circle Inside a Triangle

A sphere is placed in a cone of height18cm. At angle 60 degree

Choices

Choice (4) Response

a.

288πcm3

b.

256πcm3

c.

126πcm3

d.

236πcm3

Question number: 809

» Triangle, Circle & Constructions

MCQ▾

Question

In the given figure, FEBD is cyclic quadrilateral and AC is tangent to the circle with center ‘O’. ED is diameter, DBA=40°, FED=60°. the EBC= ________.

Quadrilateral poly1 Quadrilateral poly1: Polygon D, B, E, FCircle c Circle c: Circle through B_1 with center OAngle? Angle? : Angle between A, B, DAngle? Angle? : Angle between A, B, DAngle? Angle? : Angle between A, B, DAngle? Angle? : Angle between D, E, FAngle? Angle? : Angle between D, E, FAngle? Angle? : Angle between D, E, FSegment c_1 Segment c_1: Segment [D, B] of Quadrilateral poly1Segment d Segment d: Segment [B, E] of Quadrilateral poly1Segment e Segment e: Segment [E, F] of Quadrilateral poly1Segment f Segment f: Segment [F, D] of Quadrilateral poly1Segment g Segment g: Segment [D, E] Vector u Vector u: Vector [B, C] Vector u Vector u: Vector [B, C] Vector v Vector v: Vector [B, A] Vector v Vector v: Vector [B, A] Point O O = (7.76, -0.34) Point O O = (7.76, -0.34) Point O O = (7.76, -0.34) Point D Point D: Point on cPoint D Point D: Point on cPoint D Point D: Point on cPoint B Point B: Point on cPoint B Point B: Point on cPoint B Point B: Point on cPoint E Point E: Point on cPoint E Point E: Point on cPoint E Point E: Point on cPoint F Point F: Point on cPoint F Point F: Point on cPoint F Point F: Point on cPoint C C = (10.78, -1.08) Point C C = (10.78, -1.08) Point C C = (10.78, -1.08) Point A A = (7.14, 2.7) Point A A = (7.14, 2.7) Point A A = (7.14, 2.7)

FEBD Is Cyclic Quadrilateral

FEBD is cyclic quadrilateral and AC is tangent to the circle with center ‘O’. ED is diameter, ∠DBA = 40°, ∠FED = 60°

Choices

Choice (4) Response

a.

100°

b.

50°

c.

60°

d.

20°

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