1
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
If x = 1 is a critical point of the function
f(x) = (3x2 + ax – 2 – a)ex , then :
A
x = 1 is a local maxima and x = $$- {2 \over 3}$$ is a local minima of f.
B
x = 1 and x = $$- {2 \over 3}$$ are local maxima of f.
C
x = 1 and x = $$- {2 \over 3}$$ are local minima of f.
D
x = 1 is a local minima and x = $$- {2 \over 3}$$ is a local maxima of f.
2
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
If the point P on the curve, 4x2 + 5y2 = 20 is
farthest from the point Q(0, -4), then PQ2 is equal to:
A
36
B
48
C
21
D
29
3
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie on the parabola, y = x2–1 below the x-axis, is :
A
$${1 \over {3\sqrt 3 }}$$
B
$${2 \over {3\sqrt 3 }}$$
C
$${4 \over {3\sqrt 3 }}$$
D
$${4 \over 3}$$
4
JEE Main 2020 (Online) 4th September Morning Slot
+4
-1
Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) $$\ge$$ 1 and f''(x) $$\ge$$ 4, for all x $$\in$$ (1, 6), then :
A
f(5) $$\le$$ 10
B
f(5) + f'(5) $$\ge$$ 28
C
f(5) + f'(5) $$\le$$ 26
D
f'(5) + f''(5) $$\le$$ 20
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