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Question

If f(x) be a continuous function defined for $$1\leq x\leq 3,f(x)\epsilon Q\forall x\epsilon [1,3],f(2)=10$$, (where Q a set of all rational numbers) then f(1.8) is 


A
1
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B
5
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C
10
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D
20
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Solution

The correct option is C 10
$$f(x)$$ = Continuous function & it taxes only $$ \theta$$
for $$1\le x\le 3$$ $$f(x)$$ must be constant
$$f(x)$$ is constant $$\forall x \in \left[ {1,3} \right]$$
$$f\left( 2 \right) = 1.8 = 10$$

Mathematics

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