1
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
$$\mathop {\lim }\limits_{x \to {1^ - }} {{\sqrt \pi - \sqrt {2{{\sin }^{ - 1}}x} } \over {\sqrt {1 - x} }}$$ is equal to :
A
$$\sqrt {{2 \over \pi }}$$
B
$${1 \over {\sqrt {2\pi } }}$$
C
$$\sqrt {{\pi \over 2}}$$
D
$$\sqrt \pi$$
2
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
$$\mathop {\lim }\limits_{x \to \infty } \left( {{n \over {{n^2} + {1^2}}} + {n \over {{n^2} + {2^2}}} + {n \over {{n^2} + {3^2}}} + ..... + {1 \over {5n}}} \right)$$ is equal to :
A
tan–1 (2)
B
tan–1 (3)
C
$${\pi \over 4}$$
D
$${\pi \over 2}$$
3
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
Let f be a differentiable function such that f(1) = 2 and f '(x) = f(x) for all x $$\in$$ R R. If h(x) = f(f(x)), then h'(1) is equal to :
A
4e
B
2e2
C
4e2
D
2e
4
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then $$\int\limits_0^a \,$$f(x) g(x) dx is equal to :
A
4$$\int\limits_0^a \,$$f(x)dx
B
$$-$$ 3$$\int\limits_0^a \,$$f(x)dx
C
$$\int\limits_0^a \,$$f(x)dx
D
2$$\int\limits_0^a \,$$f(x)dx
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