COMEDK-UGET SERIES Mathematics
Application Of Derivatives
18 previous year questions.
Volume: 18 Ques
Yield: Medium
High-Yield Trend
1
2023 1
2015 3
2014 2
2012 4
2011 3
2010 3
2009 1
2008 Chapter Questions 18 MCQs
01
PYQ 2008
easy
mathematics ID: comedk-u
The value of for which is increasing, belong to
1
2
3
4
02
PYQ 2009
medium
mathematics ID: comedk-u
The subtangent at on the curve is
1
2
3
4
03
PYQ 2009
medium
mathematics ID: comedk-u
The maximum value of is
1
2
3
4
04
PYQ 2009
medium
mathematics ID: comedk-u
Let be a number which exceeds its square by the greatest possible quantity, then =
1
44563
2
44565
3
44624
4
44564
05
PYQ 2010
easy
mathematics ID: comedk-u
The slopes of the tangent and normal at for the curve are respectively
1
and
2
and
3
and
4
and
06
PYQ 2010
medium
mathematics ID: comedk-u
A stone is thrown up vertically and the height ft reached by it in time secs is given by . The stone reaches the maximum height in time ?
1
2
3
4
07
PYQ 2010
medium
mathematics ID: comedk-u
If for the curve , the tangent at is parallel to -axis, then
1
2
2
-2
3
1
4
-1
08
PYQ 2011
easy
mathematics ID: comedk-u
If then the minimum value of is
1
0
2
44656
3
44625
4
-1
09
PYQ 2011
medium
mathematics ID: comedk-u
If the area of a circle increases at a uniform rate, then its perimeter varies
1
directly as its radius
2
inversely as its radius
3
directly as the square of its radius
4
inversely as the square of the radius
10
PYQ 2011
easy
mathematics ID: comedk-u
The length of the subtangent to the curv at is
1
2
3
4
11
PYQ 2011
easy
mathematics ID: comedk-u
The surface area of a ball is increasing at the rate of . The rate at which the radius is increasing when the surface area is is
1
2
3
4
12
PYQ 2012
medium
mathematics ID: comedk-u
If the tangent to the curve at the point cuts off intercepts and on the coordinate axes where , then the value of is
1
2
3
4
13
PYQ 2012
medium
mathematics ID: comedk-u
Lengthof the subtangent at on the curve is equal to
1
2
3
4
14
PYQ 2014
medium
mathematics ID: comedk-u
A spherical balloon is being inflated at the rate of per minute, When its radius is , its surface area increases at the rate of
1
10 s cm/min
2
15 s cm/min
3
20 s cm/min
4
25 s cm/min
15
PYQ 2014
medium
mathematics ID: comedk-u
The subtangent at on the curve is
1
0
2
1
3
4
none of these
16
PYQ 2014
medium
mathematics ID: comedk-u
Let be a number which exceeds its square by the greatest possible quantity, then =
1
2
3
4
17
PYQ 2015
medium
mathematics ID: comedk-u
A ladder long is leaning against a wall. The bottom of the ladder is pulled along the ground away from the wall, at the rate of . The speed at which its height on the wall decreases when the foot of the ladder is away from the wall is
1
2
3
4
18
PYQ 2023
medium
mathematics ID: comedk-u
The approximate value of ,
1
-39.995
2
-38.995
3
-37.335
4
-40.995