# Rolle's Theorem and IVT (NBHM (National Board for Higher Mathematics) MSc and MA Mathematics): Questions 1 - 1 of 1

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## Question number: 1

» Rolle's Theorem and IVT

Appeared in Year: 2012

True-False▾

### Statements

If …………. eq. (1)

Where , then the polynomial has a root in the interval .

If is continuous and differentiable in , where and if

Then there exists such that

The polynomial has only one real root.

### Choices

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

a. | None of the statements is correct. | |

b. | Both statement Ⅰ & statement Ⅱ are true. | |

c. | All the statements are correct. | |

d. | Only statement Ⅱ is true. |