MCQOPTIONS
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This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 2t3/3 + 3t2/2 + t + 15. What is the minimum velocity? |
| A. | 1 cm/sec |
| B. | 2 cm/sec |
| C. | 3 cm/sec |
| D. | 4 cm/sec |
| Answer» B. 2 cm/sec | |
| 2. |
A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 2t3/3 + 3t2/2 + t + 15. At what time is the velocity minimum? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 3. |
At which point does f(x) = |x 1| has itslocal minimum? |
| A. | They are unequal |
| B. | They are equal |
| C. | Depend on the numbers |
| D. | Can t be predicted |
| Answer» C. Depend on the numbers | |
| 4. |
Given, f(x) = x3 12x2 + 45x + 8. What is the minimum value of f(x)? |
| A. | -1 |
| B. | 0 |
| C. | 1 |
| D. | Value does not exist |
| Answer» D. Value does not exist | |
| 5. |
Given, f(x) = x3 12x2 + 45x + 8. At which point does f(x) has its minimum? |
| A. | 1 |
| B. | 7 |
| C. | 3 |
| D. | 5 |
| Answer» E. | |
| 6. |
Given, f(x) = x3 12x2 + 45x + 8. What is the maximum value of f(x)? |
| A. | 61 |
| B. | 62 |
| C. | 63 |
| D. | 54 |
| Answer» C. 63 | |
| 7. |
Given, f(x) = x3 12x2 + 45x + 8. At which point does f(x) has its maximum? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 8. |
What will be the nature of the equation sin(x + )/sin(x + )? |
| A. | Possess only minimum value |
| B. | Possess only maximum value |
| C. | Does not possess a maximum or minimum value |
| D. | Data inadequate |
| Answer» D. Data inadequate | |