MCQOPTIONS
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MCQOPTIONS
This section includes 11 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. |
The drawback of Lagrange’s Method of Maxima and minima is? |
| A. | Maxima or Minima is not fixed |
| B. | Nature of stationary point is can not be known |
| C. | Accuracy is not good |
| D. | Nature of stationary point is known but can not give maxima or minima |
| Answer» C. Accuracy is not good | |
| 2. |
Find the maximum value of Sin(A)Sin(B)Sin(C) if A, B, C are the angles of triangle. |
| A. | 3√3⁄8 |
| B. | 3√4⁄8 |
| C. | –3√3⁄8 |
| D. | π⁄8 |
| Answer» B. 3√4⁄8 | |
| 3. |
Divide 120 into three parts so that the sum of their products taken two at a time is maximum. If x, y, z are two parts, find value of x, y and z. |
| A. | x=40, y=40, z=40 |
| B. | x=38, y=50, z=32 |
| C. | x=50, y=40, z=30 |
| D. | x=80, y=30, z=50 |
| Answer» C. x=50, y=40, z=30 | |
| 4. |
Find the minimum value of xy+a3 (1⁄x + 1⁄y). |
| A. | 3a2 |
| B. | a2 |
| C. | a |
| D. | 1 |
| Answer» B. a2 | |
| 5. |
Discuss maximum or minimum value of f(x,y) = y2 + 4xy + 3x2 + x3. |
| A. | minimum at (0,0) |
| B. | maximum at (0,0) |
| C. | minimum at (2/3, -4/3) |
| D. | maximum at (2/3, -4/3) |
| Answer» D. maximum at (2/3, -4/3) | |
| 6. |
Discuss minimum value of f(x,y)=x2 + y2 + 6x + 12. |
| A. | 3 |
| B. | 3 |
| C. | -9 |
| D. | 9 |
| Answer» C. -9 | |
| 7. |
For function f(x,y) to have no extremum value at (a,b) is? |
| A. | rt – s2>0 |
| B. | is?a) rt – s2>0b) rt – s2<0 |
| C. | rt – s2 = 0 |
| D. | rt – s2 ≠ 0 |
| Answer» C. rt – s2 = 0 | |
| 8. |
For function f(x,y) to have maximum value at (a,b) is? |
| A. | rt – s2>0 and r<0 |
| B. | is?a) rt – s2>0 and r<0b) rt – s2>0 and r>0 |
| C. | rt – s2<0 and r<0 |
| D. | rt – s2>0 and r>0 |
| Answer» B. is?a) rt – s2>0 and r<0b) rt – s2>0 and r>0 | |
| 9. |
For function f(x,y) to have minimum value at (a,b) value is? |
| A. | rt – s2>0 and r<0 |
| B. | value is?a) rt – s2>0 and r<0b) rt – s2>0 and r>0 |
| C. | rt – s2<0 and r<0 |
| D. | rt – s2>0 and r>0 |
| Answer» C. rt – s2<0 and r<0 | |
| 10. |
Stationary point is a point where, function f(x,y) have? |
| A. | ∂f⁄∂x = 0 |
| B. | ∂f⁄∂y = 0 |
| C. | ∂f⁄∂x = 0 & ∂f⁄∂y = 0 |
| D. | ∂f⁄∂x < 0 and ∂f⁄∂y > 0 |
| Answer» D. ∂f⁄∂x < 0 and ∂f⁄∂y > 0 | |
| 11. |
What is the saddle point? |
| A. | Point where function has maximum value |
| B. | Point where function has minimum value |
| C. | Point where function has zero value |
| D. | Point where function neither have maximum value nor minimum value |
| Answer» E. | |