BITSAT SERIES
Mathematics

Maxima And Minima

16 previous year questions.

Volume: 16 Ques
Yield: Medium

High-Yield Trend

1
2026
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2025
1
2020
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2019
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2016
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2015
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2014
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2013
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2011
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2007
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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.