Question

this is que of maths ncert 11 of pg no 26 plz solbe it its urgently​

Answer 1

$\huge\boxed{\underline{\underline{\green{Solution}}}} </p><p></p><p>$

Given that

$A \cup \: B = A \cup \: C$

$A \cap \: B = A \cap \: C$

Now

$B$

$= B \: \cap \:( A \cup \: B)$

$= B \cap \: ( A \cup \: C) \: \: \: \: ( \because \: A \cup \: B = A \cup \: C \: )$

$= (B \cap \: A) \: \cup \: (B \cap \: C) \: \: ( \: by \: distributive \: property)$

$= ( C \cap \: A) \: \cup \: ( C \cap \: B) \: ( \because \: A \cap \: B = A \cap \: C \: )$

$= C \cap \: (A \: \cup \: B) \: ( \: by \: distributive \: property \: )$

$= C \cap \: (A \: \cup \: C) \: ( \because \: A \cup \: B = A \cup \: C \: )$

$= C \cap \: ( C \cup \: A) \:$

$\: = C$

$</p><p>\displaystyle\textcolor{red}{Please \: Mark \: it \: Brainliest}$