1
JEE Main 2021 (Online) 26th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the bacteria count is 1000 at initial time t = 0. The number of bacteria is increased by 20% in 2 hours. If the population of bacteria is 2000 after $${k \over {{{\log }_e}\left( {{6 \over 5}} \right)}}$$ hours, then $${\left( {{k \over {{{\log }_e}2}}} \right)^2}$$ is equal to :
A
16
B
8
C
2
D
4
2
JEE Main 2021 (Online) 26th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Consider the three planes

P1 : 3x + 15y + 21z = 9,

P2 : x $$-$$ 3y $$-$$ z = 5, and

P3 : 2x + 10y + 14z = 5

Then, which one of the following is true?
A
P1 and P2 are parallel.
B
P1, P2 and P3 all are parallel.
C
P1 and P3 are parallel.
D
P2 and P3 are parallel.
3
JEE Main 2021 (Online) 26th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
If (1, 5, 35), (7, 5, 5), (1, $$\lambda$$, 7) and (2$$\lambda$$, 1, 2) are coplanar, then the sum of all possible values of $$\lambda$$ is :
A
$$ - {{44} \over 5}$$
B
$$ - {{39} \over 5}$$
C
$${{44} \over 5}$$
D
$${{39} \over 5}$$
4
JEE Main 2021 (Online) 26th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
In an increasing geometric series, the sum of the second and the sixth term is $${{25} \over 2}$$ and the product of the third and fifth term is 25. Then, the sum of 4th, 6th and 8th terms is equal to :
A
30
B
32
C
26
D
35
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