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Statement 1: f(x)=(cos^(-1)x)^(2)+(pi)/2...

Statement 1: `f(x)=(cos^(-1)x)^(2)+(pi)/2sin^(-1)x` then Range of `f(x)` is `[(3pi^(2))/16,3/4pi^(2)]`
Statement 2: If `f(x)=ax^(2)+bx+c` and if `x_(1)lt(-b)/(2a)ltx_(2)` then Range of f(x) in the interval `[x_(1),x_(2)]` is
`["min"{f(x_(1)),f(x_(2)),f(-b/(2a))},"max"{f(x_(1)),f(x_(2)),f(-b/(2a))}]`

A

Both I and II are individually true and II is the correct explanation of I

B

Both I and II are individually true but II is not the correct explanation of I

C

I is true but II is false

D

I is false but II is true

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Verified by Experts

The correct Answer is:
A
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  1. Statement 1: f(x)=(cos^(-1)x)^(2)+(pi)/2sin^(-1)x then Range of f(x) i...

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