CBSE 12th Standard Maths Subject Relations and Functions HOT Questions 4 Mark Questions 2021
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CBSE 12th Standard Maths Subject Relations and Functions HOT Questions 4 Mark Questions 2021
12th Standard CBSE
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Reg.No. :
Maths
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Consider identity function \(I_{ N }+I_{ N }:N\rightarrow N\) defined as:
\(I_{ N }(x)=x\forall x\in N.\)
Show that although \(I_{ N }\) is onto but \(I_{ N }+I_{ N }:N\rightarrow N\)defined as:
\((I_{ N }+I_{ N })(x)+I_{ N }(x)=x+x=2x\) is onto.(a) -
Find \(fof^{ -1 }\) and \(f^{ -1 }\) of for the function:
\(f(x)=\frac { 1 }{ x } ,x\neq 0\). Also prove that \(fof^{ -1 }\)= \(f^{ -1 }\) of .(a) -
Show that the relation in the set \(A=\{ x:x\in W,0x\le 12\} \) given by \(R=\{ a,b):(a-b)\) is an multiple of 4} is an equivalence relation. Also find the set of all elements related to 2.
(a)
