1
JEE Main 2020 (Online) 7th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
If g(x) = x2 + x - 1 and
(goƒ) (x) = 4x2 - 10x + 5, then ƒ$$\left( {{5 \over 4}} \right)$$ is equal to:
A
$${1 \over 2}$$
B
$${3 \over 2}$$
C
-$${1 \over 2}$$
D
-$${3 \over 2}$$
2
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
For x $$\in$$ (0, 3/2), let f(x) = $$\sqrt x$$ , g(x) = tan x and h(x) = $${{1 - {x^2}} \over {1 + {x^2}}}$$. If $$\phi$$ (x) = ((hof)og)(x), then $$\phi \left( {{\pi \over 3}} \right)$$ is equal to :
A
$$\tan {{7\pi } \over {12}}$$
B
$$\tan {{11\pi } \over {12}}$$
C
$$\tan {\pi \over {12}}$$
D
$$\tan {{5\pi } \over {12}}$$
3
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Let f(x) = loge(sin x), (0 < x < $$\pi$$) and g(x) = sin–1 (e–x ), (x $$\ge$$ 0). If $$\alpha$$ is a positive real number such that a = (fog)'($$\alpha$$) and b = (fog)($$\alpha$$), then :
A
a$$\alpha$$2 + b$$\alpha$$ - a = -2$$\alpha$$2
B
a$$\alpha$$2 + b$$\alpha$$ + a = 0
C
a$$\alpha$$2 - b$$\alpha$$ - a = 0
D
a$$\alpha$$2 - b$$\alpha$$ - a = 1
4
JEE Main 2019 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Let f(x) = x2 , x $$\in$$ R. For any A $$\subseteq$$ R, define g (A) = { x $$\in$$ R : f(x) $$\in$$ A}. If S = [0,4], then which one of the following statements is not true ?
A
g(f(S)) $$\ne$$ S
B
f(g(S)) = S
C
f(g(S)) $$\ne$$ f(S)
D
g(f(S)) = g(S)
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
JEE MainJEE AdvancedWB JEE
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Medical
NEET