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Ganesh Rau
Asked: 2022-11-05T15:51:28+05:30 In:

lf the fundamental period of function `f(x)=sinx + cos(sqrt(4-a^2))x` is `4pi`, then the value of a is/are
A. `(sqrt(15))/(2)`
B. `-(sqrt(15))/(2)`
C. `(sqrt(7))/(2)`
D. `-(sqrt(7))/(2)`

lf the fundamental period of function `f(x)=sinx + cos(sqrt(4-a^2))x` is `4pi`, then the value of a is/are
A. `(sqrt(15))/(2)`
B. `-(sqrt(15))/(2)`
C. `(sqrt(7))/(2)`
D. `-(sqrt(7))/(2)`
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  1. Correct Answer – A::B::C::D
    Period of `sinx ” is ” 2pi` and period of `cos (sqrt(4-a^(2))x) ” is ” (2pi)/(sqrt(4-a^(2))).`
    `implies LCM (2pi,(2pi)/(sqrt(4-a^(2))))=4pi` (given)
    i.e., `sqrt(4-a^(2))=(p)/(2) ” where ” p=1,3.`
    Hence ` a^(2) =(15)/(4),(7)/(4),a=+-(sqrt(15))/(2),+-(sqrt(17))/(2)`

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