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This section includes 4 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. |
A function f(x) with n roots should have n – 1 unique Lagrange point?# |
A. | True |
B. | False |
Answer» C. | |
2. |
For a third degree monic polynomial, it is seen that the sum of roots are zero. What is the relation between the minimum angle to be rotated to have a Rolles point (α in Radians) and the cyclic sum of the roots taken two at a time c$ |
A. | α = <sup>π</sup>⁄<sub>180</sub> * tan<sup>-1</sup>(c) |
B. | Can never have a Rolles point |
C. | α = tan<sup>-1</sup>(c) |
D. | α = <sup>180</sup>⁄<sub>π</sub> tan<sup>-1</sup>(c). |
Answer» E. | |
3. |
What is the minimum angle by which the coordinate axes have to be rotated in anticlockwise sense (in Degrees), such that the function f(x) = 3x3 + 5x + 1016 |
A. | |
B. | <sup>π</sup>⁄<sub>180</sub> tan<sup>-1</sup>(5) |
C. | tan<sup>-1</sup>(5) |
Answer» D. | |
4. |
For the function f(x) = x2 – 2x + 1 |
A. | |
B. | |
Answer» B. | |