BITSAT SERIES Mathematics
Applications Of Derivatives
6 previous year questions.
Volume: 6 Ques
Yield: Medium
High-Yield Trend
1
2025 1
2021 3
2020 1
2017 Chapter Questions 6 MCQs
01
PYQ 2017
medium
mathematics ID: bitsat-2
A cylindrical gas container is closed at the top and open at the bottom. If the iron plate of the top is times as thick as the plate forming the cylindrical sides, the ratio of the radius to the height of the cylinder using minimum material for the same capacity is
1
2
3
4
(1)/(3)
02
PYQ 2020
medium
mathematics ID: bitsat-2
Consider the following statements in respect of the function
f(x)=x³-1, x∈[-1,1].
I. f(x) is increasing in [-1,1]
II. f(x) has no root in (-1,1).
Which of the statements given above is/are correct?
1
Only I
2
Only II
3
Both I and II
4
Neither I nor II
03
PYQ 2020
medium
mathematics ID: bitsat-2
At an extreme point of a function f(x), the tangent to the curve is
1
parallel to the x-axis
2
perpendicular to the x-axis
3
inclined at an angle 45^∘ to the x-axis
4
inclined at an angle 60^∘ to the x-axis
04
PYQ 2020
medium
mathematics ID: bitsat-2
The set of all values of a for which the function
f(x)=(a²-3a+2)(cos²x-4sin²x/4)+(a-1)x+sin x
does not possess critical points is
1
2
3
4
(1,3)∪(3,5)
05
PYQ 2021
medium
mathematics ID: bitsat-2
A cylindrical gas container is closed at the top and open at the bottom.
If the iron plate of the top is (5)/(4) times as thick as the plate forming the cylindrical sides, find the ratio of the radius to the height of the cylinder using minimum material for the same capacity.
1
(2)/(3)
2
(1)/(2)
3
(4)/(5)
4
(1)/(3)
06
PYQ 2025
medium
mathematics ID: bitsat-2
Find the equation of the tangent to the curve at the point (1,1).
1
2
3
4
About Applications Of Derivatives - BITSAT
Applications Of Derivatives is a vital chapter for BITSAT aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Applications Of Derivatives PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Applications Of Derivatives carry the most weight. Then, tackle the questions iteratively to solidify your understanding.