Explore topic-wise MCQs in Engineering Mathematics.

This section includes 218 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.

201.

If, y = x +

A. 4 or 1
B. 4 only
C. 1 only
D. undefined
Answer» C. 1 only
Discussion
202.

Equation of the line normal to function f(x) = (x 8)

A. y = 3x 5
B. y = 3x + 5
C. 3y = x + 15
D. 3y = x 15
Answer» C. 3y = x + 15
Discussion
203.

If x = a ( + sin ) and y = a (1 cos ), then dy/ dx will be equal to

A. <table><tr><td rowspan="2">sin</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
B. <table><tr><td rowspan="2">cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
C. <table><tr><td rowspan="2">tan</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. <table><tr><td rowspan="2">cot</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» D. <table><tr><td rowspan="2">cot</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
204.

The best approximation of the minimum value attained by e

A. 0.9844
B. 1.9844
C. 11.91844
D. None of these
Answer» B. 1.9844
Discussion
205.

At x = 0, the function f(x) = x

A. a maximum value
B. a minimum value
C. a singularity
D. a point of inflection
Answer» E.
Discussion
206.

A series expansion for the function sin is

A. <table><tr><td rowspan="2">1 - </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>2</sup></center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>4</sup></center></td><td rowspan="2"> - ..........</td></tr><tr><td style="text-align: center;">2!</td><td style="text-align: center;">4!</td></tr></table>
B. <table><tr><td rowspan="2"> - </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>3</sup></center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>5</sup></center></td><td rowspan="2"> - ..........</td></tr><tr><td style="text-align: center;">3!</td><td style="text-align: center;">5!</td></tr></table>
C. <table><tr><td rowspan="2">1 + + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>2</sup></center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>3</sup></center></td><td rowspan="2"> - ..........</td></tr><tr><td style="text-align: center;">2!</td><td style="text-align: center;">3!</td></tr></table>
D. <table><tr><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>3</sup></center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>5</sup></center></td><td rowspan="2"> + ..........</td></tr><tr><td style="text-align: center;">3!</td><td style="text-align: center;">5!</td></tr></table>
Answer» C. <table><tr><td rowspan="2">1 + + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>2</sup></center></td><td rowspan="2"> + </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>3</sup></center></td><td rowspan="2"> - ..........</td></tr><tr><td style="text-align: center;">2!</td><td style="text-align: center;">3!</td></tr></table>
Discussion
207.

The divergence of the vector field 3xz + 2xyĵ - yz

A. 7
B. 4
C. 3
D. 0
Answer» D. 0
Discussion
208.

Given that x + 3x = 0 , and x(0) = 1, x (0) what is x(1)?

A. 0.99
B. 0.16
C. 0.16
D. 0.99
Answer» C. 0.16
Discussion
209.

Which of the following intergrals is unbounded?

A. <table><tr><td rowspan="2"><img src="http://images.interviewmania.com/wp-content/uploads/2019/10/as-261.jpg"> </td><td rowspan="2">tanx dx</td></tr></table>
B. <table><tr><td rowspan="2"><img src="http://images.interviewmania.com/wp-content/uploads/2019/10/as-262.jpg"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">dx</td></tr><tr><td style="text-align: center;">x<sup>2</sup> + 1</td></tr></table>
C. <table><tr><td rowspan="2"><img src="http://images.interviewmania.com/wp-content/uploads/2019/10/as-262.jpg"> </td><td rowspan="2">xe<sup>-x</sup> dx</td></tr></table>
D. <table><tr><td rowspan="2"><img src="http://images.interviewmania.com/wp-content/uploads/2019/10/as-263.jpg"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">dx</td></tr><tr><td style="text-align: center;">1 - x</td></tr></table>
Answer» E.
Discussion
210.

The right circular cone of largest volume that can be enclosed by a sphere of 1 m radius has a height of

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> m</td></tr><tr><td style="text-align: center;">3</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"> m</td></tr><tr><td style="text-align: center;">3</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2 <span style=" text-decoration: overline;">2</span></center></td><td rowspan="2"> m</td></tr><tr><td style="text-align: center;">3</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td><td rowspan="2"> m</td></tr><tr><td style="text-align: center;">3</td></tr></table>
Answer» E.
Discussion
211.

For the spherical surface x

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> +</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">&amp;jcirc;</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span></td></tr></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> -</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">&amp;jcirc;</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span></td></tr></table>
C. k
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> +</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">&amp;jcirc; +</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">k </td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
Answer» B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"> -</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2">&amp;jcirc;</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span></td></tr></table>
Discussion
212.

The directional derivative of the scalar function f(x, y, z) = x

A. 4
B. 2
C. 1
D. 1
Answer» C. 1
Discussion
213.

Then, p and q are

A. p = 3, q = 3
B. p = 3, q = 4
C. p = 4, q = 3
D. p = 4, q = 4
Answer» D. p = 4, q = 4
Discussion
214.

Let f = yx. What is
2f
at x = 2 , y = 1 ?
x y
A. 0
B. ln 2
C. 1
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">ln 2</td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">ln 2</td></tr></table>
Discussion
215.

The area enclosed between the parabola y = x

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">8</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">6</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Discussion
216.

Consider a spatial curve in three-dimensional space given in parametric form by x(t) = cos t, y(t) = sin t,

A. 0.8622
B. 1.8622
C. 11.8622
D. 1.81622
Answer» C. 11.8622
Discussion
217.

If y is the solution of the differential equation y3
dy
 + x3 = 0 ,
dx
A. 2
B. 1
C. 0
D. 1
Answer» D. 1
Discussion
218.

The distance between the origin and the point nearest it on the surface z

A. 1
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
C.
D. <span style=" text-decoration: overline;">3</span>
E. 2
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion