MCQOPTIONS
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MCQOPTIONS
This section includes 21 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. |
Find the value of integral \(\int_0^1\int_{x^2}^x xy(x+y)dydx\). |
| A. | 3⁄15 |
| B. | 2⁄15 |
| C. | 2⁄30 |
| D. | 1⁄15 |
| Answer» C. 2⁄30 | |
| 2. |
Find the value of \(\int_0^{1-y} xy\sqrt{1-x-y} \,dxdy\) where, y varies from 0 to 1. |
| A. | 16⁄946 |
| B. | 8⁄945 |
| C. | 16⁄45 |
| D. | 16⁄945 |
| Answer» E. | |
| 3. |
Find the area inside a ellipse of minor-radius ‘b’ and major-radius ‘a’. |
| A. | –4⁄3 a2 |
| B. | –4⁄3 ab2 |
| C. | 4⁄3 ab |
| D. | –4⁄3 |
| Answer» D. –4⁄3 | |
| 4. |
Evaluate ∫∫[x2 + y2 – a2 ]dxdy where, x and y varies from –a to a. |
| A. | –2⁄3 a4 |
| B. | –4⁄3 a4 |
| C. | –4⁄3 a5 |
| D. | –2⁄3 a5 |
| Answer» C. –4⁄3 a5 | |
| 5. |
Evaluate the value of \(\int\int_0^y \frac{2xy^5}{\sqrt{1+x^2 y^2-y^4}} dxdy\), where y varies from 0 to 1. |
| A. | 11⁄12 |
| B. | 14⁄6 |
| C. | 11⁄6 |
| D. | 11⁄7 |
| Answer» D. 11⁄7 | |
| 6. |
Find the integration of \(\int\int0x (x2 + y2) \,dxdy\), where x varies from 0 to 1. |
| A. | 4⁄3 |
| B. | 5⁄3 |
| C. | 2⁄3 |
| D. | 1 |
| Answer» D. 1 | |
| 7. |
Find the value of \(\int\int \,xydxdy\) over the area b punded by parabola x = 2a and x2 = 4ay, is? |
| A. | a4⁄4 |
| B. | a4⁄3 |
| C. | a5⁄3 |
| D. | a2⁄3 |
| Answer» C. a5⁄3 | |
| 8. |
Find the value of ∫∫ xydxdy over the area bpunded by parabola y=x2 and x = -y2, is? |
| A. | 1⁄67 |
| B. | 1⁄24 |
| C. | –1⁄6 |
| D. | –1⁄12 |
| Answer» C. –1⁄6 | |
| 9. |
Find the distance travelled by a car moving with acceleration given by a(t)=t2 – t, if it moves from t = 0 sec to t = 1 sec, if velocity of a car at t = 0sec is 10 km/hr. |
| A. | 119⁄22 km |
| B. | 119⁄15 km |
| C. | 129⁄12 km |
| D. | 119⁄12 km |
| Answer» C. 129⁄12 km | |
| 10. |
Find the distance travelled by a car moving with acceleration given by a(t)=Sin(t), if it moves from t = 0 sec to t = π/2 sec, if velocity of a car at t=0sec is 10 km/hr. |
| A. | 10.19 km |
| B. | 19.13 km |
| C. | 15.13 km |
| D. | 13.13 km |
| Answer» E. | |
| 11. |
Find the distance travelled by a car moving with acceleration given by a(t)=t2 + t, if it moves from t = 0 sec to t = 10 sec, if velocity of a car at t = 0sec is 40 km/hr. |
| A. | 743.3km |
| B. | 883.3km |
| C. | 788.3km |
| D. | 783.3km |
| Answer» E. | |
| 12. |
Distance travelled by any object is _____________ |
| A. | Double integral of its acceleration |
| B. | Double integral of its velocity |
| C. | Double integral of its Force |
| D. | Double integral of its Momentum |
| Answer» C. Double integral of its Force | |
| 13. |
EVALUATE_‚ÄÖ√Ñ√∂‚ÀւƬ¨¬•‚ÄÖ√Ñ√∂‚ÀւƬ¨¬•[X2_+_Y2_‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ¬®_A2_]DXDY_WHERE,_X_AND_Y_VARIES_FROM_‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ¬®A_TO_A.?$# |
| A. | –<sup>2</sup>⁄<sub>3</sub> a<sup>4</sup> |
| B. | –<sup>4</sup>⁄<sub>3</sub> a<sup>4</sup> |
| C. | –<sup>4</sup>⁄<sub>3</sub> a<sup>5</sup> |
| D. | –<sup>2</sup>⁄<sub>3</sub> a<sup>5</sup> |
| Answer» C. ‚Äö√Ñ√∂‚àö√ë‚àö¬®<sup>4</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>3</sub> a<sup>5</sup> | |
| 14. |
Find the area inside a ellipse of minor-radius ‘b’ and major-radius ‘a’.$# |
| A. | –<sup>4</sup>⁄<sub>3</sub> a<sup>2</sup> |
| B. | –<sup>4</sup>⁄<sub>3</sub> ab<sup>2</sup> |
| C. | <sup>4</sup>‚ÅÑ<sub>3</sub> ab |
| D. | –<sup>4</sup>⁄<sub>3</sub> |
| Answer» D. ‚Äö√Ñ√∂‚àö√ë‚àö¬®<sup>4</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>3</sub> | |
| 15. |
Find the integration of ‚à´‚à´0x (x2 + y2) dxdy, where x varies from 0 to 1$ |
| A. | <sup>4</sup>‚ÅÑ<sub>3</sub> |
| B. | <sup>5</sup>‚ÅÑ<sub>3</sub> |
| C. | <sup>2</sup>‚ÅÑ<sub>3</sub> |
| D. | 1 |
| Answer» D. 1 | |
| 16. |
Find the value of ‚à´‚à´ xydxdy over the area b punded by parabola x = 2a and x2 = 4ay, is$ |
| A. | <sup>a<sup>4</sup></sup>‚ÅÑ<sub>4</sub> |
| B. | <sup>a<sup>4</sup></sup>‚ÅÑ<sub>3</sub> |
| C. | <sup>a<sup>5</sup></sup>‚ÅÑ<sub>3</sub> |
| D. | <sup>a<sup>2</sup></sup>‚ÅÑ<sub>3</sub> |
| Answer» C. <sup>a<sup>5</sup></sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>3</sub> | |
| 17. |
Find the value of ‚à´‚à´ xy dxdy over the area bpunded by parabola y=x2 and x = -y2,is$ |
| A. | <sup>1</sup>‚ÅÑ<sub>67</sub> |
| B. | <sup>1</sup>‚ÅÑ<sub>24</sub> |
| C. | –<sup>1</sup>⁄<sub>6</sub> |
| D. | –<sup>1</sup>⁄<sub>12</sub> |
| Answer» C. ‚Äö√Ñ√∂‚àö√ë‚àö¬®<sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>6</sub> | |
| 18. |
Find the distance travelled by a car moving with acceleration given by a(t)=t2 – t, if it moves from t = 0 sec to t = 1 sec, if velocity of a car at t = 0sec is 10 km/hr.$ |
| A. | <sup>119</sup>‚ÅÑ<sub>22</sub> km |
| B. | <sup>119</sup>‚ÅÑ<sub>15</sub> km |
| C. | <sup>129</sup>‚ÅÑ<sub>12</sub> km |
| D. | <sup>119</sup>‚ÅÑ<sub>12</sub> km |
| Answer» C. <sup>129</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>12</sub> km | |
| 19. |
Find the distance travelled by a car moving with acceleration given by a(t)=Sin(t), if it moves from t = 0 sec to t = π/2 sec, if velocity of a car at t=0sec is 10 km/hr.$ |
| A. | 10.19 km |
| B. | 19.13 km |
| C. | 15.13 km |
| D. | 13.13 km |
| Answer» E. | |
| 20. |
Find the distance travelled by a car moving with acceleration given by a(t)=t2 + t, if it moves from t = 0 sec to t = 10 sec, if velocity of a car at t = 0sec is 40 km/hr. |
| A. | 743.3km |
| B. | 883.3km |
| C. | 788.3km |
| D. | 783.3km |
| Answer» E. | |
| 21. |
Distance travelled by any object is |
| A. | Double integral of its accelecration |
| B. | Double integral of its velocity |
| C. | Double integral of its Force |
| D. | Double integral of its Momentum |
| Answer» C. Double integral of its Force | |