WB JEE 2008 | Sets and Relations Question 5 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

Let A = {1, 2, 3} and B = {2, 3, 4}, then which of the following relations is a function from A to B?

{(1, 2), (2, 3), (3, 4), (2, 2)}

{(1, 2), (2, 3), (1, 3)}

{(1, 2), (2, 3), (3, 3)}

{(1, 2), (2, 3), (3, 4)}

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

For any two sets A and B, A $$-$$ (A $$-$$ B) equals

A $$-$$ B

A $$\cap$$ B

A^c $$\cap$$ B^c

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

A mapping from IN to IN is defined as follows:

$$f:IN \to IN$$

$$f(n) = {(n + 5)^2},\,n \in IN$$

(IN is the set of natural numbers). Then

f is not one-to-one

f is onto

f is both one-to-one and onto

f is one-to-one but not onto

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The domain of definition of the function $$f(x) = \sqrt {1 + {{\log }_e}(1 - x)} $$ is

$$ - \infty < x \le 0$$

$$ - \infty < x \le {{e - 1} \over e}$$

$$ - \infty < x \le 1$$

$$x \ge 1 - e$$

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