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Class 10 Math Sets and Fractions


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6. Indicate relations into function one-one function onto function and bijective function from the following. Also find their domain and the range. In each part from (i) to (vi) the co-domain set is taken equal to the range set.(i) R_{1}=\{(11)(22)(33)(44)\}
6. Indicate relations into function one-one function onto function and bijective function from the following. Also find their domain and the range. In each part from (i) to (vi) the co-domain set is taken equal to the range set.(i)   R_{1}=\{(11)(22)(33)(44)\}

6.Indicaterelationsintofunctiononeonefunctionontofunctionandbijectivefunctionfromthefollowing.Alsofindtheirdomainandtherange.Ineachpartfrom(i)to(vi)thecodomainsetistakenequaltotherangeset.(i)R1={(11)(22)(33)(44)}6. Indicate relations into function one-one function onto function and bijective function from the following. Also find their domain and the range. In each part from (i) to (vi) the co-domain set is taken equal to the range set.(i) R_{1}=\{(11)(22)(33)(44)\}

Example 1: Suppose A=\{2345\} and B=\{2468\} .Form a relation R: A \rightarrow B=\{x R y such that y=2 x for x \in A y \in B\}
Example 1: Suppose  A=\{2345\}  and  B=\{2468\} .Form a relation  R: A \rightarrow B=\{x R  y such that  y=2 x  for  x \in A y \in B\}

Example1:SupposeA={2345}andB={2468}.FormarelationR:AB={xRysuchthaty=2xforxAyB}Example 1: Suppose A=\{2345\} and B=\{2468\} .Form a relation R: A \rightarrow B=\{x R y such that y=2 x for x \in A y \in B\}

3. Find a and -b if(ii) (2 \mathrm{a}+53)=(7 \mathrm{~b}-4)
3. Find  a  and  -b  if(ii)  (2 \mathrm{a}+53)=(7 \mathrm{~b}-4)

3.Findaandbif(ii)(2a+53)=(7 b4)3. Find a and -b if(ii) (2 \mathrm{a}+53)=(7 \mathrm{~b}-4)

3. Find a and -b if(i) (a-4 b-2)=(21)
3. Find  a  and  -b  if(i)  (a-4 b-2)=(21)

3.Findaandbif(i)(a4b2)=(21)3. Find a and -b if(i) (a-4 b-2)=(21)

3. Find a and b if(iii) (3-2 a b-1)=(a-72 b+5)
3. Find  a  and  b  if(iii)  (3-2 a b-1)=(a-72 b+5)

3.Findaandbif(iii)(32ab1)=(a72b+5)3. Find a and b if(iii) (3-2 a b-1)=(a-72 b+5)

2. If U=\{1234 \cdots 10\} A=\{13579\} ; B=\{14710\} ; C=\{15810\} then verify the following:(ii) (A \cap B) \cap C=A \cap(B \cap C)
2. If   U=\{1234 \cdots 10\}   A=\{13579\} ; B=\{14710\} ; C=\{15810\} then verify the following:(ii)  (A \cap B) \cap C=A \cap(B \cap C)

2.IfU={123410}A={13579};B={14710};C={15810}thenverifythefollowing:(ii)(AB)C=A(BC)2. If U=\{1234 \cdots 10\} A=\{13579\} ; B=\{14710\} ; C=\{15810\} then verify the following:(ii) (A \cap B) \cap C=A \cap(B \cap C)

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