1
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Which of the following points lies on the tangent to the curve
x4ey + 2$$\sqrt {y + 1}$$ = 3 at the point (1, 0)?
A
(2, 2)
B
(–2, 4)
C
(2, 6)
D
(–2, 6)
2
JEE Main 2020 (Online) 5th September Evening Slot
MCQ (Single Correct Answer)
+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.
3
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+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
4
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
The minimum value of 2sinx + 2cosx is:
A
$${2^{-1 + \sqrt 2 }}$$
B
$${2^{1 - {1 \over {\sqrt 2 }}}}$$
C
$${2^{1 - \sqrt 2 }}$$
D
$${2^{-1 + {1 \over {\sqrt 2 }}}}$$
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