MCQGeeks
0 : 0 : 1
CBSE
JEE
NTSE
NEET
English
UK Quiz
Quiz
Driving Test
Practice
Games
CBSE
Class 12 Maths
Application Of Derivatives
Quiz 2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
The maximum value of sin x . cos x is
0%
\(\frac{1}{4}\)
0%
\(\frac{1}{2}\)
0%
√2
0%
2√2
Explanation
\(\frac{1}{2}\)
At x = \(\frac{5π}{6}\), f (x) = 2 sin 3x + 3 cos 3x is
0%
maximum
0%
minimum
0%
zero
0%
neither maximum nor minimum
Explanation
neither maximum nor minimum
Maximum slope of the curve y = -x³ + 3x² + 9x – 27 is
0%
0
0%
12
0%
16
0%
32
Explanation
0
f(x) = x
0%
x = e
0%
x = \(\frac{1}{e}\)
0%
x = 1
0%
x = √e
Explanation
x = \(\frac{1}{e}\)
The maximum value of (\(\frac{1}{x}\))is
0%
e
0%
e²
0%
e
0%
(\(\frac{1}{e}\))
Explanation
(\(\frac{1}{e}\))
If the volume of a sphere is increasing at a constant rate, then the rate at which its radius is increasing is
0%
a constant
0%
proportional to the radius
0%
inversely proportional to the radius
0%
inversely proportional to the surface area
Explanation
inversely proportional to the surface area
A particle is moving along the curve x = at² + bt + c. If ac = b², then particle would be moving with uniform
0%
rotation
0%
velocity
0%
acceleration
0%
retardation
Explanation
acceleration
The distance Y metres covered by a body in t seconds, is given by s = 3t² – 8t +The body will stop after
0%
1 s
0%
\(\frac{3}{4}\) s
0%
\(\frac{4}{3}\) s
0%
4 s
Explanation
\(\frac{4}{3}\) s
The position of a point in time Y is given by x = a + bt + ct², y = at + bt². Its acceleration at timet Y is
0%
b – c
0%
b + c
0%
2b – 2c
0%
2\(\sqrt{b^2+c^2}\)
Explanation
2\(\sqrt{b^2+c^2}\)
The function f(x) = log (1 + x) – \(\frac{2x}{2+x}\) is increasing on
0%
(-1, ∞)
0%
(-∞, ∞)
Explanation
(-1, ∞)
f(x) = (\(\frac{e^{2x}-1}{e^{2x}+1}\)) is
0%
an increasing function
0%
a decreasing function
0%
an even function
0%
None of these
Explanation
an increasing function
If f (x) = \(\frac{x}{sin x}\) and g (x) = \(\frac{x}{tan x}\), 0 < x ≤ 1, then in the interval
0%
both f (x) and g (x) are increasing functions
0%
both f (x) and g (x) are decreasing functions
0%
f(x) is an increasing function
0%
g (x) is an increasing function
Explanation
f(x) is an increasing function
The function f(x) = cot x + x increases in the interval
0%
(1, ∞)
0%
(-1, ∞)
0%
(0, ∞)
0%
(-∞, ∞)
Explanation
(-∞, ∞)
The function f(x) = \(\frac{x}{log x}\) increases on the interval
0%
(0, ∞)
0%
(0, e)
0%
(e, ∞)
0%
None of these
Explanation
(e, ∞)
The value of b for which the function f (x) = sin x – bx + c is decreasing for x ∈ R is given by
0%
b < 1
0%
b ≥ 1
0%
b > 1
0%
b ≤ 1
Explanation
b > 1
If f (x) = x³ – 6x² + 9x + 3 be a decreasing function, then x lies in
0%
(-∞, -1) ∩ (3, ∞)
0%
(1, 3)
0%
(3, ∞)
0%
None of these
Explanation
(1, 3)
The function f (x) = 1 – x³ – x
0%
1 < x < 5
0%
x < 1
0%
x > 1
0%
all values of x
Explanation
all values of x
Function, f (x) = \(\frac{λ sin x+ 6 cos x}{2 sin x + 3 cos x}\) is monotonic increasing, if
0%
λ > 1
0%
λ < 1
0%
λ < 4
0%
λ > 4
Explanation
λ > 4
The length of the longest interval, in which the function 3 sin x – 4 sin³ x is increasing is
0%
\(\frac{π}{3}\)
0%
\(\frac{π}{2}\)
0%
\(\frac{3π}{2}\)
0%
π
Explanation
π
2x³ – 6x + 5 is an increasing function, if
0%
0 < x < 1
0%
-1 < x < 1
0%
x < -1 or x > 1
0%
-1 < x < –\(\frac{1}{2}\)
Explanation
x < -1 or x > 1
0 h : 0 m : 1 s
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
0
Answered
0
Not Answered
0
Not Visited
Correct : 0
Incorrect : 0
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Support mcqgeeks.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page