Explore topic-wise MCQs in Engineering Mathematics.

This section includes 8 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.

If the domain of a function can be broken into infinite number of disjoint subsets such that every subset has a Rolles point then the function cannot be in a polynomial structure.

A. True
B. Falseview answer
Answer» C.
Discussion
2.

For any second degree polynomial with two real unequal roots. The relation between Rolles point r1 and the two roots r2 is

A. They are independent
B. c = r1 – r2
C. c = r1 * 1⁄r2
D. c = \(\frac{r_1 + r_2}{2}\) view answer
Answer» E.
Discussion
3.

For second degree polynomial it is seen that the roots are equal. Then what is the relation between the Rolles point c and the root x?

A. c = x
B. c = x2
C. They are independent
D. c = sin(x)view answer
Answer» B. c = x2
Discussion
4.

For all second degree polynomials with y = ax2 + bx + k, it is seen that the Rolles’ point is at c = 0. Also the value of k is zero. Then what is the value of b?

A. 0
B. 1
C. -1
D. 56view answer
Answer» B. 1
Discussion
5.

Let f(x) = x + sin(x) Every point on the graph is rotated by 45 degree with respect to the origin along the radius equal to the radius vector at that point. How many c that belong to [0, 11π] exist Such that f'(c) = 0.

A. 10
B. 11
C. = 0.a) 10b) 11c) 110
D. 9view answer
Answer» C. = 0.a) 10b) 11c) 110
Discussion
6.

f(x) = \(\frac{sin(x)}{x}\), How many points exist such that f'(c) = 0 in the interval [0, 18π].

A. 18
B. 17
C. = 0 in the interval [0, 18π].a) 18b) 17c) 8
D. 9view answer
Answer» B. 17
Discussion
7.

For the function f(x) = \(\frac{sin(x)}{x^2}\) How many points exist in the interval [0, 7π] Such that f'(c) = 0.

A. 8
B. 0
C. = 0.a) 8b) 0c) 7
D. 6view answer
Answer» E.
Discussion
8.

For y = -x2 + 2x there exist a c in the interval [- 19765, 19767] Such that f'(c) = 0.

A. True
B. Falseview answer
C. = 0.a) Trueb) Falseview answer
Answer» B. Falseview answer
Discussion