1
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
2
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
$${{9 \over 2}}$$
3
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
$$4{\left( {{2 \over {5}}} \right)^{{1 \over 3}}}$$
4
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
The area (in sq. units) of the region
A = { (x, y) $$\in$$ R × R|  0 $$\le$$ x $$\le$$ 3, 0 $$\le$$ y $$\le$$ 4, y $$\le$$ x2 + 3x} is :
A
$${{59} \over 6}$$
B
$${{26} \over 3}$$
C
8
D
$${{53} \over 6}$$
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