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Let f(x) = x^(2) - 5x + 6, g(x) = f(|x|)...

Let `f(x) = x^(2) - 5x + 6, g(x) = f(|x|), h(x) = |g(x)|`
The set of value of `mu` such that equation `h(x) = mu` has exactly `8` real and distinct roots, contains.

A

`0`

B

`(1)/(8)`

C

`(1)/(16)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B, C

`h(x) = |f(|x|)|`
`:. x in (0, (1)/(4))`
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