# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 205 - 212 of 968

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## Question 205

### Question

MCQ▾If are two numbers such that . Then are the roots of the quadratic equation ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 206

### Question

MCQ▾If are the zeroes of the quadratic polynomial such that , then the value of k is ________

### Choices

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

a. | 25 | |

b. | -24 | |

c. | 24 | |

d. | -25 |

## Question 207

### Question

MCQ▾The solution of the system of equations and , is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 208

### Question

MCQ▾The sum of two numbers is 18 and the sum of their squares is 38. The numbers are ________

### Choices

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

a. | 13 and 18 | |

b. | 16 and 20 | |

c. | 21 and 25 | |

d. | 11 and 13 |

## Question 209

### Question

MCQ▾The number of values of k for which the system of equations has atleast one solution is ________

### Choices

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

b. | ||

c. | ||

d. |

## Question 210

### Question

MCQ▾The value of k for which the system of equations , has infinite number of solutions, is ________

### Choices

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

a. | 10 | |

b. | 3 | |

c. | 9 | |

d. | 4 |

## Question 211

### Question

MCQ▾If are the roots of the cubic , the value of is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 212

### Question

MCQ▾The value of k, for which the system of equations represent parallel lines is ________

### Choices

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

a. | 25 | |

b. | 45 | |

c. | 15 | |

d. | 35 |