JEE MATHEMATICS MCQ: SET THEORY

1 Easy

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Application +4 | -1

The number of elements in the set

\left\{ {\left( {a,b} \right):2{a^2} + 3{b^2} = 35,\;a,\;b \in Z} \right\}

, where

Z

is the set of all integers, is

View answer and explanation

Correct option: C

The correct answer is C (8) because there are 8 integer pairs (a, b) that satisfy the equation 2a² + 3b² = 35.

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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})

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A, 20 \%

10 \%

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A

C

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A

C

2 \%

A