If f x is continuous function such that f x - 0 for all x - - 2-10 - and -48 f x dx - 0 then f 0 equals

The correct option is C 0 Given f(x) gt; 0 nbsp;so integral of f(x) will be greater than or equal to 0 nbsp;as it is equal to 0 this implies f(x) = ...

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Standard XII

Physics

Dimensional Analysis

If f x is...

Question

If $f (x)$ is continuous function such that $f (x) \geq 0$ for all $x ϵ [2, 10]$ and $\int_{4}^{8} f (x) d x = 0$ then $f (0)$ equals

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Solution

The correct option is C $0$
Given f(x) > 0
so integral of f(x) will be greater than or equal to 0
as it is equal to 0 this implies f(x) = 0
So f(o) = 0
Hence, the answer is C

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If f(x) is continuous function such that f(x)≥0 for all xϵ[2,10] and ∫84f(x)dx=0 then f(0) equals

The correct option is C 0Given f(x) > 0 so integral of f(x) will be greater than or equal to 0 as it is equal to 0 this implies f(x) = 0So f(o) = 0Hence, the answer is C

If $f (x)$ is continuous function such that $f (x) \geq 0$ for all $x ϵ [2, 10]$ and $\int_{4}^{8} f (x) d x = 0$ then $f (0)$ equals

The correct option is C $0$
Given f(x) > 0
so integral of f(x) will be greater than or equal to 0
as it is equal to 0 this implies f(x) = 0
So f(o) = 0
Hence, the answer is C