1
WB JEE 2018
+1
-0.25 If f : R $$\to$$ R be defined by f (x) = ex and g : R $$\to$$ R be defined by g(x) = x2. The mapping gof : R $$\to$$ R be defined by (gof) (x) = g[f(x)] $$\forall$$x$$\in$$R. Then,
A
gof is bijective but f is not injective.
B
gof is injective but g is injective
C
gof is injective but g is not bijective
D
gof is surjective and g is surjective
2
WB JEE 2018
+2
-0.5 For 0 $$\le$$ p $$\le$$ 1 and for any positive a, b; let I(p) = (a + b)p, J(p) = ap + bp, then
A
I(p) > J(p)
B
I(p) $$\le$$ J(p)
C
I(p) < J(p) in $$\left[ {0,{p \over 2}} \right]$$ and I(p) > J(p) in $$\left[ {{p \over 2},\infty } \right]$$
D
I(p) < J(p) in $$\left[ {{p \over 2},\infty } \right]$$ and I(p) > J(p) in $$\left[ {0,{p \over 2}} \right]$$
3
WB JEE 2018
+2
-0.5 If the polynomial $$f(x) = \left| {\matrix{ {{{(1 + x)}^a}} & {{{(2 + x)}^b}} & 1 \cr 1 & {{{(1 + x)}^a}} & {{{(2 + x)}^b}} \cr {{{(2 + x)}^b}} & 1 & {{{(1 + x)}^a}} \cr } } \right|$$, then the constant term of f(x) is
A
$$2 - {3.2^b} + {2^{3b}}$$
B
$$2 + {3.2^b} + {2^{3b}}$$
C
$$2 + {3.2^b} - {2^{3b}}$$
D
$$2 - {3.2^b} - {2^{3b}}$$
4
WB JEE 2017
+1
-0.25 Let $$f:R \to R$$ be such that f is injective and $$f(x)f(y) = f(x + y)$$ for $$\forall x,y \in R$$. If f(x), f(y), f(z) are in G.P., then x, y, z are in
A
AP always
B
GP always
C
AP depending on the value of x, y, z
D
GP depending on the value of x, y, z
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