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Title: Applications of Derivatives – Worksheet – Class 12
Description: Applications of Derivatives – Worksheet – Class 12 – 5 MCQs & 5 Word Questions
Description: Applications of Derivatives – Worksheet – Class 12 – 5 MCQs & 5 Word Questions
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KENDRIYA VIDYALAYA SANGATHAN AHMEDABAD REGION
MATHS WORKSHEET I 2023-24
CLASS: XII
CHAPTER : APPLICATION OF DERIVATIVES
MCQS
Q1
The function f(x)= ax+b is strictly decreasing for all x∈R iff:
(a) a=0
(b) a<0
(c) a>0
(d) none of these)
Q2
The rate of change of the area of a circle with respect to its
radius r at r = 6 cm is
(a) 10π
(b) 12π
(c) 8π
(d) 11π
Q3
The function f(x)= cos x-sin x has maximum or minimum value at x=
(a)
(b)
(c)
(d)
Q4
Q5
Note:
Q6
𝜋
4
3𝜋
4
𝜋
2
𝜋
3
Which of the following functions is decreasing on (0, π/2)
(a)sin 2x
(b)tan x
(c)cos x
(d)cos 3x
A cylindrical vessel of radius 0
...
25
π cu/min
...
25 m/min
For Q No 6 to 10 use separate sheet to solve and attach with
worksheet
...
The falling sand
forms a cone on the ground in such a way that the height of the cone
Q7
Q8
Q9
Q10
is always one-sixth of the radius of the base
...
The relation between the height of the plant(y in cm) with respect to
exposure to sunlight is governed by the following equation
1
y=4x-2 x2 where x is the number of days exposed to sunlight
...
One of the pieces is
to be made into a square and the other into a circle
Title: Applications of Derivatives – Worksheet – Class 12
Description: Applications of Derivatives – Worksheet – Class 12 – 5 MCQs & 5 Word Questions
Description: Applications of Derivatives – Worksheet – Class 12 – 5 MCQs & 5 Word Questions