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Two sets A and B are as under :A={(a, b) \epsilon R×R :| a−5| < 1 and
|b−5| < 1}; B={(a, b) \epsilon R×R : 4(a−6)2+9(b−5)2
≤ 36}. Then :

  • Option 1)

    neither A \subset B nor B \subset A

  • Option 2)

    B \subset A

  • Option 3)

    A \subset B

  • Option 4)

    A\capB = \varnothing

 

Answers (2)

best_answer

If    a-5= x ; b-5=y

A: \left | x \right |< 1;\left | y \right |< 1

also B: 4(x-1)^{2}+9(y)^{2}\leq 36

\frac{(x-1)^{2}}{9}+\frac{y^{2}}{4}\leq 1

A\subset B


Option 1)

neither A \subset B nor B \subset A

This is incorrect

Option 2)

B \subset A

This is incorrect

Option 3)

A \subset B

This is incorrect

Option 4)

A\capB = \varnothing

This is incorrect

Posted by

Himanshu

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