1
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
$$4{\left( {{2 \over {5}}} \right)^{{1 \over 3}}}$$
2
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
$${{53} \over 6}$$
3
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
The area (in sq. units) of the region bounded by the parabola, y = x2 + 2 and the lines, y = x + 1, x = 0 and x = 3, is
A
$${{15} \over 4}$$
B
$${{15} \over 2}$$
C
$${{21} \over 2}$$
D
$${{17} \over 4}$$
4
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
The area (in sq. units) in the first quadrant bounded by the parabola, y = x2 + 1, the tangent to it at the point (2, 5) and the coordinate axes is :
A
$${8 \over 3}$$
B
$${{14} \over 3}$$
C
$${{187} \over {24}}$$
D
$${{37} \over {24}}$$
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