JEE Mains · Maths · STD 11 - 10.2 parabola,ellipse,hyperbola
Two sets \(A\) and \(B\) are as under: \(A = \{ \left( {a,b} \right) \in R \times R:\left| {a - 5} \right| < 1 \,\,and\,\,\left| {b - 5} \right| < 1\} \); \(B = \left\{ {\left( {a,b} \right) \in R \times R:4{{\left( {a - 6} \right)}^2} + 9{{\left( {b - 5} \right)}^2} \le 36} \right\}\) then : . . . . .
- A \(A \subset B\)
- B \(A \cap B = \emptyset \)
- C neither \(A \subset B\) nor \(B \subset A\)
- D \(B \subset A\)
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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