# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 473 - 479 of 968

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## Question 473

### Question

MCQ▾The coordinates of the mid-points of the sides of a triangle are . What will be the coordinates of the centroid of the triangle?

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

b. | ||

c. | ||

d. |

## Question 474

### Question

MCQ▾The area of triangle formed by the points is 70 units. How many integral values of p are possible?

### Choices

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

b. | 2 | |

c. | 4 | |

d. | None of the above |

## Question 475

### Question

MCQ▾In an equilateral triangle PQR, This side QR is trisected at S, then ________

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Choice (4) | Response | |
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## Question 476

### Question

MCQ▾In the given figure, if and , then ________

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d. |

## Question 477

### Question

MCQ▾Find the area of the quadrilateral, the coordinates of whose angular points taken in order are .

### Choices

Choice (4) | Response | |
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a. | 8 | |

b. | 7 | |

c. | 14 | |

d. | 11 |

## Question 478

### Question

MCQ▾Two dice are thrown at a time. The probability that the difference of the numbers shown on the dice is 3 is ________

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## Question 479

### Question

MCQ▾XYZ is an isosceles triangle. If the coordinates of the base are , then the coordinates of the vertex Z can be

### Choices

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

b. | ||

c. | ||

d. |