IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 808 - 809 of 968

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Question number: 808

» Area, Surface Area & Volume

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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 cEllipse c: Ellipse with foci A, B passing through CEllipse cEllipse c: Ellipse with foci A, B passing through CCircle dCircle 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 fSegment f: Segment [D, E] Segment gSegment g: Segment [E, F] Vector uVector u: Vector [I, J] Vector uVector u: Vector [I, J] Vector vVector v: Vector [I, K] Vector vVector v: Vector [I, K] Point DPoint D: Point on cPoint DPoint D: Point on cPoint EE = (7.42,2.4) Point EE = (7.42,2.4) Point FPoint F: Point on cPoint FPoint F: Point on cPoint GG = (7.46, -0.6) Point GG = (7.46, -0.6) 9 cmtext1 = “9 cm”

Circle Inside a Triangle

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Question number: 809

» Triangle, Circle & Constructions

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In the given figure, FEBD is cyclic quadrilateral and AC is tangent to the circle with center ‘O’. ED is diameter, the ________.

Quadrilateral poly1Quadrilateral poly1: Polygon D, B, E, FCircle cCircle 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_1Segment c_1: Segment [D, B] of Quadrilateral poly1Segment dSegment d: Segment [B, E] of Quadrilateral poly1Segment eSegment e: Segment [E, F] of Quadrilateral poly1Segment fSegment f: Segment [F, D] of Quadrilateral poly1Segment gSegment g: Segment [D, E] Vector uVector u: Vector [B, C] Vector uVector u: Vector [B, C] Vector vVector v: Vector [B, A] Vector vVector v: Vector [B, A] Point OO = (7.76, -0.34) Point OO = (7.76, -0.34) Point OO = (7.76, -0.34) Point DPoint D: Point on cPoint DPoint D: Point on cPoint DPoint D: Point on cPoint BPoint B: Point on cPoint BPoint B: Point on cPoint BPoint B: Point on cPoint EPoint E: Point on cPoint EPoint E: Point on cPoint EPoint E: Point on cPoint FPoint F: Point on cPoint FPoint F: Point on cPoint FPoint F: Point on cPoint CC = (10.78, -1.08) Point CC = (10.78, -1.08) Point CC = (10.78, -1.08) Point AA = (7.14,2.7) Point AA = (7.14,2.7) Point AA = (7.14,2.7)

FEBD is Cyclic Quadrilateral

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