1
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
The area (in sq.units) of the region bounded by the curves y = 2x and y = |x + 1|, in the first quadrant is :
A
$${1 \over 2}$$
B
$${3 \over 2}$$
C
$${3 \over 2} - {1 \over {\log _e^2}}$$
D
$$\log _e^2 + {3 \over 2}$$
2
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
The area (in sq. units) of the region
A = {(x, y) : $${{y{}^2} \over 2}$$ $$\le$$ x $$\le$$ y + 4} is :-
A
30
B
18
C
$${{53} \over 3}$$
D
16
3
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
The area (in sq. units) of the region

A = {(x, y) : x2 $$\le$$ y $$\le$$ x + 2} is
A
$${{31 \over 6}}$$
B
$${{10 \over 3}}$$
C
$${{13 \over 6}}$$
D
$${{9 \over 2}}$$
4
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
Let S($$\alpha$$) = {(x, y) : y2 $$\le$$ x, 0 $$\le$$ x $$\le$$ $$\alpha$$} and A($$\alpha$$) is area of the region S($$\alpha$$). If for a $$\lambda$$, 0 < $$\lambda$$ < 4, A($$\lambda$$) : A(4) = 2 : 5, then $$\lambda$$ equals
A
$$2{\left( {{4 \over {25}}} \right)^{{1 \over 3}}}$$
B
$$2{\left( {{2 \over {5}}} \right)^{{1 \over 3}}}$$
C
$$4{\left( {{4 \over {25}}} \right)^{{1 \over 3}}}$$
D
$$4{\left( {{2 \over {5}}} \right)^{{1 \over 3}}}$$
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