1
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
The position of a moving car at time t is
given by f(t) = at2 + bt + c, t > 0, where a, b and c are real numbers greater than 1. Then the average speed of the car over the time interval [t1 , t2 ] is attained at the point :
A
$${{\left( {{t_1} + {t_2}} \right)} \over 2}$$
B
$${{\left( {{t_2} - {t_1}} \right)} \over 2}$$
C
2a(t1 + t2) + b
D
a(t2 – t1) + b
2
JEE Main 2020 (Online) 5th September Evening Slot
+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)
3
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.
4
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
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