# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 445 - 451 of 931

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## Question 445

### Question

MCQ▾In an isosceles triangle ABC, with, the bisectors of and intersect each other at O. join A to O, then________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 446

## Question 447

### Question

MCQ▾The locus of a point equidistant from the three sides of a triangle is ________

### Choices

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

a. | Orthocenter | |

b. | Incenter | |

c. | Centroid | |

d. | Circumcenter |

## Question 448

### Question

MCQ▾The distance between the points P (-4, -3) and Q (5,6) is calculated as

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 449

### Question

MCQ▾The and are right angles. If , and , then the length of XZ is ________

### Choices

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

b. | ||

c. | ||

d. |

## Question 450

### Question

MCQ▾If the point (5,7) lies on the graph of the equation, find the value of a.

### Choices

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

a. | 7 | |

b. | 8 | |

c. | 9 | |

d. | 6 |

## Question 451

### Question

MCQ▾A rectangular field has its length and breadth in the ratio. Its area is 0.9 hectares. The cost of fencing it at RS. 10 per meter is ________

### Choices

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

a. | Rs. 5200 | |

b. | Rs. 6200 | |

c. | Rs. 4200 | |

d. | Rs. 7400 |