Explore topic-wise MCQs in Engineering Mathematics.

This section includes 5 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_inverse_lapalce_transform_of_1‚ÅÑs(s-1)(s2+1)$

A. <sup>1</sup>⁄<sub>2</sub> e<sup>-t</sup> + <sup>1</sup>⁄<sub>2</sub> Sin(-t) – <sup>1</sup>⁄<sub>2</sub> Cos(-t)
B. <sup>1</sup>⁄<sub>2</sub> e<sup>t</sup> + <sup>1</sup>⁄<sub>2</sub> Sin(t) – <sup>1</sup>⁄<sub>2</sub> Cos(t)
C. <sup>1</sup>‚ÅÑ<sub>2</sub> e<sup>t</sup> + <sup>1</sup>‚ÅÑ<sub>2</sub> Sin(t) + <sup>1</sup>‚ÅÑ<sub>2</sub> Cos(t)
D. <sup>1</sup>⁄<sub>2</sub> e<sup>t</sup> – <sup>1</sup>⁄<sub>2</sub> Sin(t) – <sup>1</sup>⁄<sub>2</sub> Cos(t)
Answer» C. <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> e<sup>t</sup> + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Sin(t) + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Cos(t)
Discussion
2.

Find the inverse laplace transform of s‚ÅÑ(s2 + 4)2$

A. <sup>1</sup>‚ÅÑ<sub>4</sub> sin(2t)
B. <sup>t<sup>2</sup></sup>‚ÅÑ<sub>4</sub> sin(2t)
C. <sup>t</sup>‚ÅÑ<sub>4</sub> sin(2t)
D. <sup>t</sup>‚ÅÑ<sub>4</sub> sin(2t<sup>2</sup>)
Answer» D. <sup>t</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>4</sub> sin(2t<sup>2</sup>)
Discussion
3.

Inverse laplace transform of 1/(s-1)2 (s+5) is

A. <sup>1</sup>⁄<sub>6</sub> e<sup> – t</sup> – <sup>1</sup>⁄<sub>36</sub> e<sup>t</sup> + <sup>1</sup>⁄<sub>36</sub> e<sup>-5t</sup>
B. <sup>1</sup>⁄<sub>6</sub> e<sup>t</sup>t – <sup>1</sup>⁄<sub>36</sub> e<sup>t</sup> + <sup>1</sup>⁄<sub>36</sub> e<sup>-5t</sup>
C. <sup>1</sup>⁄<sub>6</sub> e<sup>-t</sup>t<sup>2</sup> – <sup>1</sup>⁄<sub>36</sub> e<sup>-t</sup> + <sup>1</sup>⁄<sub>36</sub> e<sup>5t</sup>
D. <sup>1</sup>‚ÅÑ<sub>6</sub> e<sup>-t</sup> t-<sup>1</sup>‚ÅÑ<sub>36</sub> e<sup>-t</sup> + <sup>1</sup>‚ÅÑ<sub>36</sub> e<sup>5t</sup>
Answer» B. <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>6</sub> e<sup>t</sup>t ‚Äö√Ñ√∂‚àö√ë‚àö¬® <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>36</sub> e<sup>t</sup> + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>36</sub> e<sup>-5t</sup>
Discussion
4.

Inverse Laplace transform of 1/(s+1)(s-1)(s+2) is
A. –<sup>1</sup>⁄<sub>2</sub> e<sup>t</sup> + <sup>1</sup>⁄<sub>6</sub> e<sup>-t</sup> + <sup>1</sup>⁄<sub>3</sub> e<sup>2t</sup>
B. –<sup>1</sup>⁄<sub>2</sub> e<sup>-t</sup> + <sup>1</sup>⁄<sub>6</sub> e<sup>t</sup> + <sup>1</sup>⁄<sub>3</sub> e<sup>-2t</sup>
C. <sup>1</sup>⁄<sub>2</sub> e<sup>-t</sup> – <sup>1</sup>⁄<sub>6</sub> e<sup>t</sup> – <sup>1</sup>⁄<sub>3</sub> e<sup>-2</sup>
D. –<sup>1</sup>⁄<sub>2</sub> e<sup>-t</sup> + <sup>1</sup>⁄<sub>6</sub> e<sup>-t</sup> + <sup>1</sup>⁄<sub>3</sub> e<sup>-2</sup>
Answer» C. <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> e<sup>-t</sup> ‚Äö√Ñ√∂‚àö√ë‚àö¬® <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>6</sub> e<sup>t</sup> ‚Äö√Ñ√∂‚àö√ë‚àö¬® <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>3</sub> e<sup>-2</sup>
Discussion
5.

Time domain function of s ‚ÅÑ a2 + s2 is given by

A. Cos(at)
B. Sin(at)
C. Cos(at)Sin(at)
D. None of the above
Answer» B. Sin(at)
Discussion