1
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
Let $$\sum\limits_{k = 1}^{10} {f(a + k) = 16\left( {{2^{10}} - 1} \right)}$$ where the function ƒ satisfies
ƒ(x + y) = ƒ(x)ƒ(y) for all natural numbers x, y and ƒ(1) = 2. then the natural number 'a' is
A
2
B
16
C
4
D
3
2
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
If the function ƒ : R – {1, –1} $$\to$$ A defined by
ƒ(x) = $${{{x^2}} \over {1 - {x^2}}}$$ , is surjective, then A is equal to
A
R – (–1, 0)
B
R – {–1}
C
R – [–1, 0)
D
[0, $$\infty$$)
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
Let ƒ(x) = ax (a > 0) be written as
ƒ(x) = ƒ1 (x) + ƒ2 (x), where ƒ1 (x) is an even function of ƒ2 (x) is an odd function.
Then ƒ1 (x + y) + ƒ1 (x – y) equals
A
1 (x)ƒ1 (y)
B
1 (x + y)ƒ1 (x – y)
C
1 (x)ƒ2 (y)
D
1 (x + y)ƒ2 (x – y)
4
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
Let $$f(x) = \int\limits_0^x {g(t)dt}$$ where g is a non-zero even function. If ƒ(x + 5) = g(x), then $$\int\limits_0^x {f(t)dt}$$ equals-
A
5$$\int\limits_{x + 5}^5 {g(t)dt}$$
B
$$\int\limits_{x + 5}^5 {g(t)dt}$$
C
$$\int\limits_{5}^{x+5} {g(t)dt}$$
D
2$$\int\limits_{5}^{x+5} {g(t)dt}$$
JEE Main 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