# Mathematics-Quadratic Equations (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 9 - 12 of 12

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## Question number: 9

» Mathematics » Quadratic Equations

### Question

A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is

### Choices

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

a. |
| |

b. |
| |

c. |
| |

d. | None of the above |

## Question number: 10

» Mathematics » Quadratic Equations

### Question

If and are the roots of the equation , then is equal to

### Choices

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

a. |
| |

b. | a 2 + a 4) 2 | |

c. |
| |

d. | All of the above |

## Question number: 11

» Mathematics » Quadratic Equations

### Question

If the zeroes of the polynomial are reciprocal of each other, then the value of k is

### Choices

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

a. | -1 | |

b. | 1 | |

c. | 2 | |

d. | -2 |

## Question number: 12

» Mathematics » Quadratic Equations

### Question

If and are the roots of the equation , then an equation whose roots are and is

### Choices

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

a. |
bx + c = 0 | |

b. |
b = 0 | |

c. |
| |

d. | cx |