IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 748 - 750 of 968

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Question number: 748

» Area, Surface Area & Volume

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MCQ▾

Question

If the radii of the circular ends of a conical bucket are and and the height is the capacity of the bucket is________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 749

» Triangle, Circle & Constructions

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MCQ▾

Question

Give below are the steps of construction of (without using the center of the circle radius ) two tangents to the circle from point A.

  1. Step I: Draw a line segment Take a point A outside the circle and draw a secant ACD, intersecting the circle at C and D.

  2. Step II: Produce to to B such that draw a semi-circle with BD as diameter.

  3. Step III: Draw intersecting the semi-circle at E. with A as center and BA as radius draw arcs to intersect the given circle at S and S’.

  4. Step IV: Join AS and AS’. Then, AS and AS’ are the required tangents.

Choices

Choice (4)Response

a.

3

b.

2

c.

4

d.

1

Question number: 750

» Triangle, Circle & Constructions

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MCQ▾

Question

In the given figure, O is the center of the circle, then is ________.

Quadrilateral poly1Quadrilateral poly1: Polygon O, A, B, CCircle cCircle c: Circle through B_1 with center OSegment a_1Segment a_1: Segment [O, A] of Quadrilateral poly1Segment c_1Segment c_1: Segment [A, B] of Quadrilateral poly1Segment dSegment d: Segment [B, C] of Quadrilateral poly1Segment eSegment e: Segment [C, O] of Quadrilateral poly1Segment fSegment f: Segment [B, O] Segment gSegment g: Segment [A, C] Point OO = (0.3,2.42) Point OO = (0.3,2.42) Point OO = (0.3,2.42) Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint BPoint B: Point on cPoint BPoint B: Point on cPoint BPoint B: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on cPoint CPoint C: Point on c

Quadrilateral and Circle

Choices

Choice (4)Response

a.

b.

c.

d.

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