# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 561 - 570 of 1484

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## Question 561

### Question

MCQ▾Find the value of “a” and “b” so that and may be factors of .

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 562

### Question

MCQ▾Solve the equation where is acute .

### Choices

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

a. | ||

b. | ||

c. | ||

d. | All of the above |

## Question 563

### Question

MCQ▾Find a positive integral solution to the equation

### Choices

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

a. | 120 | |

b. | 220 | |

c. | 221 | |

d. | 121 |

## Question 564

### Question

MCQ▾If then ________.

### Choices

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

a. | ||

b. | ||

c. | 2 | |

d. | All of the above |

## Question 565

### Question

MCQ▾The product of and is ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 566

### Question

MCQ▾The sum of ‘n’ terms of an AP is . Then the nth term is

### Choices

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

a. | ||

b. | ||

c. | ||

d. | Question does not provide sufficient data or is vague |

## Question 567

### Question

MCQ▾The discriminant of with a, c and real constants is zero. The roots must be

### Choices

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

a. | Equal and integral | |

b. | Real and equal | |

c. | Imaginary | |

d. | Rational and equal |

## Question 568

### Question

MCQ▾In what ratio is the segment joining the points and divided by X-axis?

### Choices

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

a. | ||

b. | ||

c. | ||

d. | Question does not provide sufficient data or is vague |

## Question 569

### Question

MCQ▾The value of is

### Choices

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

a. | 225 | |

b. | 90 | |

c. | 85 | |

d. | 112 |