If A-x- R-fx-0 and B-x- R-gx-0 then A- B is

Find the value of A∩ B :Given A={x∈ R/f(x)=0} and B={x∈ R/g(x)=0}A∩ B={x∈ R/f(x)=0 and g(x)=0}0ex0ex ={x∈ R|f^2(x)+g^2(x)=0}Hence the value of 𝐴∩𝐵 is { ...

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Standard XII

Mathematics

Properties of Set Operation

If A=x∈ R/fx=...

Question

If $A = {x \in R / f (x) = 0}$ and $B = {x \in R / g (x) = 0}$ then $A \cap B$ is

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Solution

Find the value of $A \cap B$ :
Given $A = {x \in R / f (x) = 0}$ and $B = {x \in R / g (x) = 0}$
$A \cap B = {x \in R / f (x) = 0 a n d g (x) = 0} = {x \in R | f^{2} (x) + g^{2} (x) = 0}$
Hence the value of $A \cap B$ is ${x \in R | f^{2} (x) + g^{2} (x) = 0}$

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If A={x∈R/f(x)=0} and B={x∈R/g(x)=0} then A∩B is

Find the value of A∩B :Given A={x∈R/f(x)=0} and B={x∈R/g(x)=0}A∩B={x∈R/f(x)=0andg(x)=0}={x∈R|f2(x)+g2(x)=0}Hence the value of A∩B is {x∈R|f2(x)+g2(x)=0}

If $A = {x \in R / f (x) = 0}$ and $B = {x \in R / g (x) = 0}$ then $A \cap B$ is

Find the value of $A \cap B$ :
Given $A = {x \in R / f (x) = 0}$ and $B = {x \in R / g (x) = 0}$
$A \cap B = {x \in R / f (x) = 0 a n d g (x) = 0} = {x \in R | f^{2} (x) + g^{2} (x) = 0}$
Hence the value of $A \cap B$ is ${x \in R | f^{2} (x) + g^{2} (x) = 0}$