1
WB JEE 2009
+1
-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

A
f is not one-to-one
B
f is onto
C
f is both one-to-one and onto
D
f is one-to-one but not onto
2
WB JEE 2009
+1
-0.25

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

A
$$- \infty < x \le 0$$
B
$$- \infty < x \le {{e - 1} \over e}$$
C
$$- \infty < x \le 1$$
D
$$x \ge 1 - e$$
3
WB JEE 2010
+1
-0.25

Let R be the set of real numbers and the mapping f : R $$\to$$ R and g : R $$\to$$ R be defined by f(x) = 5 $$-$$ x2 and g(x) = 3x $$-$$ 4, then the value of (fog)($$-$$1) is

A
$$-$$ 44
B
$$-$$ 54
C
$$-$$ 32
D
$$-$$ 64
4
WB JEE 2010
+1
-0.25

If A = {1, 2, 3, 4}, B = {1, 2, 3, 4, 5, 6} are two sets, and function f : A $$\to$$ B is defined by f(x) = x + 2 $$\forall$$ x$$\in$$ A, then the function f is

A
bijective
B
onto
C
one-one
D
many-one
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination