Class 11

Set Theory question bank (Maths)

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Q1.

The number of elements in the set $\{ (a, b) : 2a^2 + 3b^2 = 35, a, b \in Z \}$,where $Z$ is the set of all integers,is

(A)

$2$

(B)

$4$

(C)

$8$

(D)

$12$

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Q2.

Let $A = \{ \theta : \sin(\theta) = \tan(\theta) \}$ and $B = \{ \theta : \cos(\theta) = 1 \}$ be two sets. Then

(A)

$A = B$

(B)

$A \not\subset B$

(C)

$B \not\subset A$

(D)

$A \subset B$ and $B - A \neq \phi$

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