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JEE Mains · Maths · STD 12 - 1. relation and function

ધારોકે \(A =\{1,3,4,6,9\}\) અને \(B =\{2,4,5,8,10\}\).ધારોકે \(R\) એ \(A \times B\) પરનો એવો વ્યાખ્યાયિત સંબંધ છે કે જેથી \(R =\left\{\left(\left(a_1, b _1\right),\left( a _2, b _2\right)\right): a _1 \leq b _2\right.\) અને \(\left.b _1 \leq a _2\right\}\).તો ગુણ \(R\) ના ધટકો ની સંખ્યા \(.......\) છે.

  1. A \(26\)
  2. B \(160\)
  3. C \(180\)
  4. D \(52\)
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Correct Answer

(B) \(160\)

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Detailed explanation

Let \(a_1=1 \Rightarrow 5\) choices of \(b _2\) \(a_1=3 \Rightarrow 4 \text { choices of } b_2\) \(a_1=4 \Rightarrow 4 \text { choices of } b_2\) \(a_1=6 \Rightarrow 2 \text { choices of } b_2\) \(a_1=9 \Rightarrow 1 \text { choices of } b_2\) For \(\left(a_1, b _2\right) 16\)…
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