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JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola

दो समुच्चय \(A\) तथा \(B\) निम्न प्रकार के हैं \(A=\{(a, b) \in R \times R:|a-5|< 1\) तथा \(|b-5|< 1\}\) \(B=\left\{(a, b) \in R \times R: 4(a-6)^{2}+9(b-5)^{2} \leq 36\right\}\) तो

  1. A \(A \subset B\)
  2. B \(A \cap B=\phi\) (एक रिक्त समुच्चय)
  3. C न तो \(A \subset B\) और न ही \(B \subset A\)
  4. D \(B \subset A\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(A \subset B\)

Step-by-step Solution

Detailed explanation

\(A = \left\{ {\left( {a,b} \right) \in R \times R:\left| {a - 5} \right| < 1,\left| {b - 5} \right| < 1} \right\}\) Let \(a - 5 = x,b - 5 = y\) set \(A\) contains all points inside \(\left| x \right| < 1,\left| y \right| < 1\)…
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