JEE MATHEMATICS MCQ: SET THEORY

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A=\left\{(x, y): x^2+y^2 \leq 9\right\}

B=\left\{(x, y):\left|x-1-x^2\right| \leq\left|x^2-3 x+4\right|\right\} \text { where }

x

and

y

are integers.

Number of integral

(\mathrm{x}, \mathrm{y})

in set

\mathrm{A} \cap \mathrm{B}

are

View answer and explanation

Correct option: D

The number of integral (x, y) in set A ∩ B is 23. This is found by identifying the integer values of x and y that satisfy both inequalities.

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S

2 a_1 a_2 a_3 \ldots . . a_{2006}

a_1, a_2, a_3, \ldots ., a_{2006}

S

a N=\{a n: n \in N: b N=\{n b: n \in N\}

c N=\{c N: n \in N\}

b N \cap c N=d N

a, b, c \in N

b, c

A=\{x: x

\}

B=\{x: x

A-B

F(n)

n

[\mathrm{F}(20) \cap \mathrm{F}(16)] \subseteq \mathrm{F}(\mathrm{y})

40 \%

A, 20 \%

10 \%

C

A

C

4 \%

A

C

2 \%

A