# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 710 - 717 of 1484

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## Question 710

### Question

MCQ▾If and have a common root, then the value of ‘a’ is

### Choices

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

a. | ||

b. | ||

c. | 11 only | |

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

## Question 711

### Question

MCQ▾If the roots of a quadratic equation are equal, then:

### Choices

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

a. | ||

b. | ||

c. | ||

d. | All of the above |

## Question 712

### Question

MCQ▾The roots of the equation are in the ratio 3: 8, then k = ________.

### Choices

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

a. | -8 | |

b. | 15 | |

c. | 10 | |

d. | 11 |

## Question 713

### Question

MCQ▾If one root of is thrice the other root, then the value of ‘a’ is

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 714

### Question

MCQ▾If the midpoints of the sides of a square are joined successively the figure formed is ________.

### Choices

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

a. | Rectangle | |

b. | Square | |

c. | Trapezium | |

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

## Question 715

### Question

MCQ▾If be the roots of the quadratic equation , then the quadratic equation whose roots are and is:

### Choices

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

a. | ||

b. | ||

c. | ||

d. | None of the above |

## Question 716

### Question

MCQ▾The figure formed by successively joining the midpoints of a parallelogram is ________.

### Choices

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

a. | Parallelogram | |

b. | Square | |

c. | Rectangle | |

d. | Rhombus |

## Question 717

### Question

MCQ▾The points form the vertices of

### Choices

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

a. | Equilateral triangle | |

b. | Isosceles right angled triangle | |

c. | Isosceles triangle | |

d. | Right angled triangle |