Explore topic-wise MCQs in Engineering Mathematics.

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.

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
Discussion
2.

The drawback of Lagrange’s Method of Maxima and MIinima 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
Discussion
3.

Find the maximum value of Sin(A)Sin(B)Sin(C) if A, B , C are the angles of triangle.$
A. <sup>3‚àö3</sup>‚ÅÑ<sub>8</sub>
B. <sup>3‚àö4</sup>‚ÅÑ<sub>8</sub>
C. –<sup>3√3</sup>⁄<sub>8</sub>
D. <sup>π</sup>⁄<sub>8</sub>
Answer» B. <sup>3‚Äö√Ñ√∂‚àö‚Ć‚àö‚àÇ4</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>8</sub>
Discussion
4.

Find the minimum value of xy+a3 (1‚ÅÑx + 1‚ÅÑy?#

A. 3a<sup>2</sup>
B. a<sup>2</sup>
C. a
D. 1
Answer» B. a<sup>2</sup>
Discussion
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)
Discussion
6.

Discuss minimum value of f(x,y)=x2 + y2 + 6x + 12
A. 3
B. 3
C. -9
D. 9
Answer» C. -9
Discussion
7.

For function f(x,y) to have no extremum value at (a,b),

A. rt – s<sup>2</sup>>0
B. rt – s<sup>2</sup><0
C. rt – s<sup>2</sup> = 0
D. rt – s<sup>2</sup> ≠ 0
Answer» C. rt ‚Äö√Ñ√∂‚àö√ë‚àö¬® s<sup>2</sup> = 0
Discussion
8.

For function f(x,y) to have maximum value at (a,b),

A. rt – s<sup>2</sup>>0 and r<0
B. rt – s<sup>2</sup>>0 and r>0
C. rt – s<sup>2</sup><0 and r<0
D. rt – s<sup>2</sup>>0 and r>0
Answer» B. rt ‚Äö√Ñ√∂‚àö√ë‚àö¬® s<sup>2</sup>>0 and r>0
Discussion
9.

For function f(x,y) to have minimum value at (a,b) value,

A. rt – s<sup>2</sup>>0 and r<0
B. rt – s<sup>2</sup>>0 and r>0
C. rt – s<sup>2</sup><0 and r<0
D. rt – s<sup>2</sup>>0 and r>0
Answer» C. rt ‚Äö√Ñ√∂‚àö√ë‚àö¬® s<sup>2</sup><0 and r<0
Discussion
10.

Stationary point is a point where, function f(x,y) have,

A. <sup>∂f</sup>⁄<sub>∂x</sub> = 0
B. <sup>∂f</sup>⁄<sub>∂y</sub> =0
C. <sup>∂f</sup>⁄<sub>∂x</sub> = 0 & <sup>∂f</sup>⁄<sub>∂y</sub> = 0
D. <sup>∂f</sup>⁄<sub>∂x</sub> < 0 and <sup>∂f</sup>⁄<sub>∂y</sub> > 0
Answer» D. <sup>‚Äö√Ñ√∂‚àö‚Ć‚àö√°f</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>‚Äö√Ñ√∂‚àö‚Ć‚àö√°x</sub> < 0 and <sup>‚Äö√Ñ√∂‚àö‚Ć‚àö√°f</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>‚Äö√Ñ√∂‚àö‚Ć‚àö√°y</sub> > 0
Discussion
11.

What is the saddle point
A. Point where function has maximujm value
B. Point where function has minimujm value
C. Point where function has zero value
D. Point where function neither have maximujm value nor minimum value
Answer» E.
Discussion