InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
What will be the nature of the equation sin(x + α)/sin(x + β)?(a) Possess only minimum value(b) Possess only maximum value(c) Does not possess a maximum or minimum value(d) Data inadequateThe question was posed to me during an online exam.The doubt is from Calculus Application topic in portion Application of Calculus of Mathematics – Class 12 |
|
Answer» CORRECT ANSWER is (C) Does not possess a maximum or MINIMUM value The explanation: Let, y = sin(x + α)/sin(x + β) Then, dy/dx = [cos(x + α)sin(x + β) – sin(x + α)cos(x + β)]/sin^2(x + β) = sin(x+β – x-α)/sin^2(x + β) Or sin(β – α)/sin^2(x + β) So, for minimum or maximum value of x we have, dy/dx = 0 Or sin(β – α)/sin^2(x + β) = 0 Or sin(β – α) = 0……….(1) CLEARLY, equation (1) is independent of x; hence, we cannot have a real value of x as root of equation (1). Therefore, y has neither a maximum or minimum value. |
|