Back to SET THEORY

JEE MATHEMATICS MCQ: SET THEORY

1 Medium

1 of 1

Analyzing +4 | -1

If

A=\left\{\theta: 2 \cos ^2 \theta+\sin \theta \leq 2\right\}

and

B=\left\{\theta: \frac{\pi}{2} \leq \theta \leq \frac{3 \pi}{2}\right\}

, then

A \cap B

is equal to

View answer and explanation

Correct option: C

\left\{\theta: \frac{\pi}{2} \leq \theta \leq \frac{5 \pi}{6}\right.

or

\left.\pi \leq \theta \leq \frac{3 \pi}{2}\right\}

Option C (

f(x)=\tan x

on

[0, \pi]

) is correct because

\tan x

is not continuous on the interval

[0, \pi]

, thus Rolle's theorem is not applicable.

More Questions from SET THEORY

Practice All Chapter MCQs →

S

be the set of all those 2007-place decimal integers

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

which contain odd number of digit 9 in each sequence

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

. The cardinal number of

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

are coprime, then Which of the following cannot be the number of elements in the power set of any finite set? If

A=\{x: x

is a multiple of 3

\}

B=\{x: x

is a multiple of 5}, then

A-B

F(n)

denotes the set of all divisors of

n

except 1 , what is the least value of y satisfying

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

? In a town of 10000 families, it was found that

40 \%

families buy newspaper

A, 20 \%

families buy newspaper B and

10 \%

families buy newspaper

C

, 5% families buy newspapers

A

and B, 3% buy newspapers B and

C

4 \%

A

C

2 \%

families buy all the three newspapers, then number of families which buy

A