# Triangle, Circle & Constructions [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 1 - 6 of 77

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## Question 1

### Question

MCQ▾In the given figure then is ________

### Choices

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

b. | ||

c. | ||

d. |

## Question 2

### Question

MCQ▾In the figure , then is ________

### Choices

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

b. | ||

c. | ||

d. |

## Question 3

### Question

MCQ▾J, K and L are respectively the mid-points of sides XY, YZ and XZ of . Find the ratio of the area of .

### Choices

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

a. | 1: 4 | |

b. | 3: 5 | |

c. | 2: 7 | |

d. | 2: 3 |

## Question 4

### Question

MCQ▾In the given figure And , then ________

### Choices

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

b. | ||

c. | ||

d. |

## Question 5

### Question

MCQ▾In the adjacent figure, BA and BC are produced to meet CD and AD produced in E and F. then is ________

### Choices

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

b. | ||

c. | ||

d. |

## Question 6

### Question

MCQ▾Given below are the steps of construction of a pair of tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm. find which of the following step is wrong?

- Step I: Take a point O on the plane paper and draw a circle of radius . Also, draw a concentric circle of radius .
- Step II: Find the mid-point A of OB and draw a circle of radius . Suppose this circle intersects the circle of radius 4 cm at P and Q.
- Step III: Join BP and BQ to get the desired tangents.

### Choices

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

a. | (1) and (2) | |

b. | Only (2) | |

c. | Only (1) | |

d. | (2) and (3) |