# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 748 - 752 of 968

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## Question 748

### Question

MCQ▾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 | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 749

### Question

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

- 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.
- Step II: Produce to to B such that draw a semi-circle with BD as diameter.
- 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՚.
- Step IV: Join AS and AS՚. Then, AS and AS՚ are the required tangents.

### Choices

Choice (4) | Response | |
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a. | 3 | |

b. | 2 | |

c. | 4 | |

d. | 1 |

## Question 750

### Question

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

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 751

### Question

MCQ▾The perimeter of a sector of a circle of radius is The area of the sector is________.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 752

### Question

MCQ▾Given below are the steps of construction of a pair of tangents to a circle of radius which are inclined to each other at an angle of . Find which of the following step is wrong.

- Step I: Take a point O on the paper and draw a circle of radius
- Step II: Produce to such that
- Step III: Taking as the center draw a circle of radius suppose it cuts the circle drawn in step I at P and Q.
- Step IV: Join and to get desired tangents.

### Choices

Choice (4) | Response | |
---|---|---|

a. | Only 2 | |

b. | Only 3 | |

c. | Only 4 | |

d. | Only 1 |