STD 11- 2. Relation and Function - CBSE STD 11 Science Maths Questions

84

Questions

1

Question groups

5

Question types

01

M.C.Q (1 Marks)

84 Q→

Sample Questions

STD 11- 2. Relation and Function questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

Let $A, B, C$ are three sets such that $n(A \cap B) = n(B \cap C) = n(C \cap A) = n(A \cap B \cap C) = 2$, then $n((A × B) \cap (B × C)) $ is equal to -

A
$0$
B
$1$
C
$2$
✓
$4$

Answer: D.

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Q 2M.C.Q (1 Marks)1 Mark

If $f(x) = \cos [{\pi ^2}]x + \cos [ - {\pi ^2}]x$, then

A
$f\left( {\frac{\pi }{4}} \right) = 2$
B
$f( - \pi ) = 2$
C
$f(\pi ) = 1$
✓
$f\left( {\frac{\pi }{2}} \right) = - 1$

Answer: D.

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Q 3M.C.Q (1 Marks)1 Mark

Domain of the function $f(x) = {\left[ {{{\log }_{10}}\left( {\frac{{5x - {x^2}}}{4}} \right)} \right]^{1/2}}$ is

A
$ - \infty < x < \infty $
✓
$1 \le x \le 4$
C
$4 \le x \le 16$
D
$ - 1 \le x \le 1$

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark

The domain of the function $f(x) = {\log _{3 + x}}({x^2} - 1)$ is

A
$( - 3,\; - 1) \cup (1,\;\infty )$
B
$[ - 3,\; - 1) \cup [1,\;\infty )$
✓
$( - 3,\; - 2) \cup ( - 2,\; - 1) \cup (1,\;\infty )$
D
$[ - 3,\; - 2) \cup ( - 2,\; - 1) \cup [1,\;\infty )$

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark

Domain of the function $f(x) = \sqrt {2 - 2x - {x^2}} $ is

A
$ - \sqrt 3 \le x \le \sqrt 3 $
✓
$ - 1 - \sqrt 3 \le x \le - 1 + \sqrt 3 $
C
$ - 2 \le x \le 2$
D
$ - 2 + \sqrt 3 \le x \le - 2 - \sqrt 3 $

Answer: B.

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