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AP POLYCET
List of top Questions asked in AP POLYCET
If a sin 45°= b cosec 30°, then the value of
a
4
b
4
\frac {a^4}{b^4}
b
4
a
4
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometry
The ratio of the sum and product of the roots of the quadratic equation
7
x
2
−
12
x
+
18
=
0
7x^2-12x+18=0
7
x
2
−
12
x
+
18
=
0
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Quadratic Equations
Find the 10
th
term of the arithmetic progression
5
,
1
,
−
3
,
−
7
,
.
.
…
.
5,1,-3,-7,..….
5
,
1
,
−
3
,
−
7
,
..
…
.
AP POLYCET - 2024
AP POLYCET
Mathematics
Arithmetic Progressions
The speed of light in vacuum is c. The speed of light in a medium of refractive index
4
3
\frac 43
3
4
is
AP POLYCET - 2024
AP POLYCET
Physics
Light - Reflection and Refraction
If the volume of a cylinder is 500 m
3
and the area of its base is 25 m
2
, then its height (in m) is
AP POLYCET - 2024
AP POLYCET
Mathematics
Volume of Cube, Cuboid and Cylinder
If the centroid of a triangle formed by the points
(
a
,
b
)
,
(
b
,
c
)
(a,b), (b, c)
(
a
,
b
)
,
(
b
,
c
)
and
(
c
,
a
)
(c,a)
(
c
,
a
)
is at the origin, then
a
3
+
b
3
+
c
3
=
a^3+b^3+c^3 =
a
3
+
b
3
+
c
3
=
AP POLYCET - 2024
AP POLYCET
Mathematics
Triangles
If the slope of the line joining the points (4,2) and (3,-k) is -2, then the value of k is
AP POLYCET - 2024
AP POLYCET
Mathematics
Slope of a line
If 25 cm each is the object and image distances due to convex lens, then its focal length is
AP POLYCET - 2024
AP POLYCET
Physics
Light - Reflection and Refraction
The number of degenerate orbitals present in 4d subshell is
AP POLYCET - 2024
AP POLYCET
Chemistry
Structure of atom
The modal class of the following frequency distribution is
Class Interval
0-20
20-40
40-60
60-80
80-100
Number of Students
15
18
21
29
17
AP POLYCET - 2024
AP POLYCET
Mathematics
frequency distributions
The average of the observations 10, 20, 65, 102, 108, 115 is
AP POLYCET - 2024
AP POLYCET
Mathematics
Average
An element
13
X
27
_{13}X^{27}
13
X
27
forms ionic compound. What is the charge on
X
X
X
in ionic compound:
AP POLYCET - 2024
AP POLYCET
Chemistry
Chemical bonding and molecular structure
An increase in magnetic flux through a coil of 100 turns in 0.1 s is 0.001 Wb. The maximum induced EMF generated in the coil is
AP POLYCET - 2024
AP POLYCET
Physics
Magnetic Flux
In the given figure, PA and PB are the tangents to the circle with centre at O. If ∠APB = 36°, then ∠AOB =
AP POLYCET - 2024
AP POLYCET
Mathematics
Tangent to a Circle
If the area of a rectangle is
112
m
2
112\ m^2
112
m
2
and its length is
6
m
6\ m
6
m
more than the breadth, then the breadth of the rectangle is
AP POLYCET - 2024
AP POLYCET
Mathematics
Mensuration
In
△
A
B
C
△ABC
△
A
BC
,
D
E
∣
∣
B
C
DE || BC
D
E
∣∣
BC
,
A
D
D
B
=
3
5
\frac {AD}{DB}=\frac 35
D
B
A
D
=
5
3
and
A
C
=
5.6
AC=5.6
A
C
=
5.6
cm, then
A
E
=
AE =
A
E
=
?
?
?
AP POLYCET - 2024
AP POLYCET
Mathematics
Triangles
If △Φ and △t are the change in magnetic flux and time respectively, then the induced EMF is
AP POLYCET - 2024
AP POLYCET
Physics
Magnetic Flux
The phenomenon of electromagnetic induction involves the process of
AP POLYCET - 2024
AP POLYCET
Physics
Electromagnetic induction
If
s
i
n
α
+
s
i
n
β
+
s
i
n
γ
=
3
sinα+sinβ+sinγ=3
s
in
α
+
s
in
β
+
s
inγ
=
3
, then
c
o
s
α
+
c
o
s
β
+
c
o
s
γ
=
cosα+cosβ+cosγ =
cos
α
+
cos
β
+
cos
γ
=
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometric Ratios
40 g of water at 40°C is added to 10 g of water at 80°C. The final temperature of the mixture is 40°C
AP POLYCET - 2024
AP POLYCET
Physics
Calorimetry
If
2
2
2
is a root of the equation
x
2
−
p
x
+
q
=
0
x^2-px+q=0
x
2
−
p
x
+
q
=
0
and
p
2
=
4
q
p^2=4q
p
2
=
4
q
, then the other root is
AP POLYCET - 2024
AP POLYCET
Mathematics
Quadratic Equations
The C.G.S. unit of heat energy is
AP POLYCET - 2024
AP POLYCET
Physics
Units and measurement
The stars appear twinkling. The principle involved in it is
AP POLYCET - 2024
AP POLYCET
Physics
Refraction
In what ratio, Y-axis divides the line segment joining the points P(-4, 2) and Q(8, 3)?
AP POLYCET - 2024
AP POLYCET
Mathematics
Coordinate Geometry
The area of the shaded region in the given figure is
AP POLYCET - 2024
AP POLYCET
Mathematics
Area
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