Explore topic-wise MCQs in Engineering Mathematics.

This section includes 12 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. <sup>3</sup> <sub>15</sub>
B. <sup>2</sup> <sub>15</sub>
C. <sup>2</sup> <sub>30</sub>
D. <sup>1</sup> <sub>15</sub>
Answer» C. <sup>2</sup> <sub>30</sub>
Discussion
2.

Find the value of ( int_0^{1-y} xy sqrt{1-x-y} ,dxdy ) where, y varies from 0 to 1.

A. <sup>16</sup> <sub>946</sub>
B. <sup>8</sup> <sub>945</sub>
C. <sup>16</sup> <sub>45</sub>
D. <sup>16</sup> <sub>945</sub>
Answer» E.
Discussion
3.

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> <sub>3</sub> ab
D. <sup>4</sup> <sub>3</sub>
Answer» D. <sup>4</sup> <sub>3</sub>
Discussion
4.

Evaluate [x2 + y2 a2 ]dxdy where, x and y varies from 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. <sup>4</sup> <sub>3</sub> a<sup>5</sup>
Discussion
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. <sup>11</sup> <sub>12</sub>
B. <sup>14</sup> <sub>6</sub>
C. <sup>11</sup> <sub>6</sub>
D. <sup>11</sup> <sub>7</sub>
Answer» D. <sup>11</sup> <sub>7</sub>
Discussion
6.

Find the integration of ( int int0x (x2 + y2) ,dxdy ), where x varies from 0 to 1.

A. <sup>4</sup> <sub>3</sub>
B. <sup>5</sup> <sub>3</sub>
C. <sup>2</sup> <sub>3</sub>
D. 1
Answer» D. 1
Discussion
7.

Find the value of ( int int ,xydxdy ) over the area b punded by parabola x = 2a and x2 = 4ay, is?

A. <sup>a<sup>4</sup></sup> <sub>4</sub>
B. <sup>a<sup>4</sup></sup> <sub>3</sub>
C. <sup>a<sup>5</sup></sup> <sub>3</sub>
D. <sup>a<sup>2</sup></sup> <sub>3</sub>
Answer» C. <sup>a<sup>5</sup></sup> <sub>3</sub>
Discussion
8.

Find the value of xydxdy over the area bpunded by parabola y=x2 and x = -y2, is?

A. <sup>1</sup> <sub>67</sub>
B. <sup>1</sup> <sub>24</sub>
C. <sup>1</sup> <sub>6</sub>
D. <sup>1</sup> <sub>12</sub>
Answer» C. <sup>1</sup> <sub>6</sub>
Discussion
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. <sup>119</sup> <sub>22</sub> km
B. <sup>119</sup> <sub>15</sub> km
C. <sup>129</sup> <sub>12</sub> km
D. <sup>119</sup> <sub>12</sub> km
Answer» C. <sup>129</sup> <sub>12</sub> km
Discussion
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 = /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.
Discussion
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.
Discussion
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
Discussion