Explore topic-wise MCQs in Engineering Mathematics.

This section includes 7 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.

Consider the vertical cone. The minimum value of the function in the region f(x,y) = c is?

A. constant
B. 1
C. 0
D. -1
Answer» B. 1
2.

f(x, y)= (10y(10y-1)+( frac{x^3sin(x^2)tan(x^3)}{(x-1)^3})-100y^2 ). Find the critical points

A. (0,0)
B. (1,1)
C. (2,22)
D. None exist
Answer» E.
3.

A man travelling onf(x, y) = sin(xy). His shadow passing through the origin in a straight line (sun travels with him overhead).
What is the slope of the line travelling on which would lead him to the lowest elevation.

A. There isn t such a line
B. 1
C. -1
D. 0
Answer» B. 1
4.

The point (0,0) in the domain of f(x, y) = sin(xy) is a point of ___________

A. Saddle
B. Minima
C. Maxima
D. Constant
Answer» E.
5.

f(x, y) = sin(x).cos(y) Which of the following is a critical point?

A. (<sup> </sup> <sub>4</sub>, <sup> </sup> <sub>4</sub>)
B. (- <sup> </sup> <sub>4</sub>, <sup> </sup> <sub>4</sub>)
C. (0, <sup> </sup> <sub>2</sub>)
D. (0, 0)
Answer» D. (0, 0)
6.

The critical point exist for the function f(x, y) = xn + xn-1 y + +yn at (0,0).

A. True
B. False
Answer» C.
7.

Consider the f(x, y) = x2 + y2 a. For what values of a do we have critical points for the function.

A. independent of a
B. for any real number except zero
C. a (0, + )
D. a (-1, 1)
Answer» B. for any real number except zero