MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If the domain of a function can be broken into infinite number of disjoint subsets such that every subset has a Rolles point then the function cannot be in a polynomial structure. |
| A. | True |
| B. | False |
| Answer» C. | |
| 2. |
For any second degree polynomial with two real unequal roots. The relation between Rolles point r1 and the two roots r2 is |
| A. | They are independent |
| B. | c = r<sub>1</sub> r<sub>2</sub> |
| C. | c = r<sub>1</sub> * <sup>1</sup> <sub>r<sub>2</sub></sub> |
| D. | c = ( frac{r_1 + r_2}{2} ) |
| Answer» E. | |
| 3. |
For second degree polynomial it is seen that the roots are equal. Then what is the relation between the Rolles point c and the root x? |
| A. | c = x |
| B. | c = x<sup>2</sup> |
| C. | They are independent |
| D. | c = sin(x) |
| Answer» B. c = x<sup>2</sup> | |
| 4. |
For all second degree polynomials with y = ax2 + bx + k, it is seen that the Rolles point is at c = 0. Also the value of k is zero. Then what is the value of b? |
| A. | 0 |
| B. | 1 |
| C. | -1 |
| D. | 56 |
| Answer» B. 1 | |
| 5. |
For some function f(x) we have f(a) = f(b) for a,b .I and a + b = 2 then which of the following even degree polynomials could f(x) be |
| A. | x<sup>2</sup> + 3x +1 |
| B. | <sup>5x<sup>2</sup></sup> <sub>2</sub> 5x + 101 |
| C. | x<sup>2</sup> + 2x + 1 |
| D. | Even degree polynomials of such kind cannot exist |
| Answer» C. x<sup>2</sup> + 2x + 1 | |
| 6. |
A Function f(x) has the property f(a) = f(b) for a,b .I and a + b = 20 then which of the following even degree polynomials could be f(x)? |
| A. | <sup>x<sup>4</sup></sup> <sub>4</sub> 10x<sup>3</sup> + 150x<sup>2</sup> 1000x + 10131729 |
| B. | x<sup>2</sup> + 5x + 6 |
| C. | x<sup>2</sup> + x + 1 |
| D. | Polynomial functions are inadequate representations |
| Answer» B. x<sup>2</sup> + 5x + 6 | |
| 7. |
Let f(x) = x + sin(x) Every point on the graph is rotated by 45 degree with respect to the origin along the radius equal to the radius vector at that point. How many c that belong to [0, 11 ] exist Such that f'(c) = 0. |
| A. | 10 |
| B. | 11 |
| C. | 110 |
| D. | 9 |
| Answer» C. 110 | |
| 8. |
f(x) = ( frac{sin(x)}{x} ), How many points exist such that f'(c) = 0 in the interval [0, 18 ]. |
| A. | 18 |
| B. | 17 |
| C. | 8 |
| D. | 9 |
| Answer» B. 17 | |
| 9. |
For the function f(x) = ( frac{sin(x)}{x^2} ) How many points exist in the interval [0, 7 ] Such that f'(c) = 0. |
| A. | 8 |
| B. | 0 |
| C. | 7 |
| D. | 6 |
| Answer» E. | |
| 10. |
For y = -x2 + 2x there exist a c in the interval [- 19765, 19767] Such that f'(c) = 0. |
| A. | True |
| B. | False |
| Answer» B. False | |