1
JEE Main 2020 (Online) 4th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
2
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the surface area of a cube is increasing at a rate of 3.6 cm2/sec, retaining its shape; then the rate of change of its volume (in cm3/sec), when the length of a side of the cube is 10 cm, is :
A
9
B
10
C
18
D
20
3
JEE Main 2020 (Online) 3rd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The function, f(x) = (3x – 7)x2/3, x $$ \in $$ R, is increasing for all x lying in :
A
$$\left( { - \infty ,0} \right) \cup \left( {{3 \over 7},\infty } \right)$$
B
$$\left( { - \infty ,0} \right) \cup \left( {{{14} \over {15}},\infty } \right)$$
C
$$\left( { - \infty ,{{14} \over {15}}} \right)$$
D
$$\left( { - \infty ,{{14} \over {15}}} \right) \cup \left( {0,\infty } \right)$$
4
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The equation of the normal to the curve
y = (1+x)2y + cos 2(sin–1x) at x = 0 is :
A
y = 4x + 2
B
x + 4y = 8
C
y + 4x = 2
D
2y + x = 4
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