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BITSAT SERIES
Mathematics

Maxima And Minima

16 previous year questions.

Volume: 16 Ques
Yield: Medium

High-Yield Trend

1
2026
1
2025
1
2020
1
2019
2
2016
2
2015
2
2014
1
2013
3
2011
1
2007
1
2005

Chapter Questions
16 MCQs

01
PYQ 2005
easy
mathematics ID: bitsat-2
The largest value of for occurs at is equal to :
1
-4
2
4
3
1
4
0
02
PYQ 2007
medium
mathematics ID: bitsat-2
The minimum value of when is
1
9
2
12
3
8
4
6
03
PYQ 2011
medium
mathematics ID: bitsat-2
The minimum value of f(x)=sin⁴x+cos⁴x in the interval (0,(π)/(2)) is:
1
\frac12
2
2
3
\sqrt2
4
1
04
PYQ 2011
medium
mathematics ID: bitsat-2
The function f(x)=2x³-3x²-12x+4 has:
1
two points of local maxima
2
two points of local minima
3
one maxima and one minima
4
no maxima or minima
05
PYQ 2011
medium
mathematics ID: bitsat-2
The function is maximum when is equal to
1
2
3
4
06
PYQ 2013
medium
mathematics ID: bitsat-2
If , then the maximum value of is
1

2

3

4

07
PYQ 2014
medium
mathematics ID: bitsat-2
Let and let be given by , then
1
has three real roots if
2
has only one real roots if
3
has three real roots if
4
has three real roots if
08
PYQ 2014
medium
mathematics ID: bitsat-2
The fuel charges for running a train are proportional to the square of the speed generated in miles per hour and cost 30 per hour is:
1

2

3

4
09
PYQ 2015
medium
mathematics ID: bitsat-2
If and are non-zero roots of , then the least value of is
1

2

3

4
10
PYQ 2015
medium
mathematics ID: bitsat-2
The function has local minimum at
1

2

3

4
11
PYQ 2016
medium
mathematics ID: bitsat-2
The curve y=xeˣ has minimum value equal to
1

2

3

4
e
12
PYQ 2016
medium
mathematics ID: bitsat-2

A wire 34 cm long is to be bent in the form of a quadrilateral of maximum area in which each angle is 90°. What is the maximum area enclosed?

1

2

3

4
72.25 cm²
13
PYQ 2019
medium
mathematics ID: bitsat-2
The function has a local minimum at:
1

2

3

4
x=1
14
PYQ 2020
medium
mathematics ID: bitsat-2
The curve y=xeˣ has minimum value equal to
1

2

3

4
e
15
PYQ 2025
medium
mathematics ID: bitsat-2
Let . The minimum value of is:
1
2
2
3
3
1
4
0
16
PYQ 2026
medium
mathematics ID: bitsat-2
The value of x is maximum for
1

2

3

4
All have the same value of x.

About Maxima And Minima - BITSAT

Maxima And Minima 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 Maxima And Minima 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 Maxima And Minima carry the most weight. Then, tackle the questions iteratively to solidify your understanding.