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AP POLYCET
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Mathematics
List of top Mathematics Questions asked in AP POLYCET
If a sin 45°= b cosec 30°, then the value of
\(\frac {a^4}{b^4}\)
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometry
\(\frac {140}{210}\)
is a
AP POLYCET - 2024
AP POLYCET
Mathematics
Decimals
The 12
th
term of the geometric progression (G.P.)
\(2,1,\frac 12, \frac 14, \frac 18,…….\)
is
AP POLYCET - 2024
AP POLYCET
Mathematics
geometric progression
If the points (1, 2), (-1, k) and (2, 3) are collinear, then the value of k is
AP POLYCET - 2024
AP POLYCET
Mathematics
Collinearity of points
If
\(α\)
and
\(β\)
are the zeroes of the polynomial
\(f(x)=6x^2+x-2\)
, then the sum of zeroes is
AP POLYCET - 2024
AP POLYCET
Mathematics
Polynomials
The number of subsets of the set A = {p,q} is
AP POLYCET - 2024
AP POLYCET
Mathematics
Subsets
If
\(α,β,γ\)
are the roots of
\(4x^3-6x^2+7x+3=0\)
, then the value of
\(αβ+βγ+γα\)
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Polynomials
If
\(2\)
is a root of the equation
\(x^2-px+q=0\)
and
\(p^2=4q\)
, then the other root is
AP POLYCET - 2024
AP POLYCET
Mathematics
Quadratic Equations
The coordinates of the point P which is equidistant from the three vertices of the △AOB as shown in the figure is
AP POLYCET - 2024
AP POLYCET
Mathematics
Distance Formula
If the mode and mean of a data are 24 and 60 respectively, then the median of the data is
AP POLYCET - 2024
AP POLYCET
Mathematics
Mean, median, mode and standard deviation
A tree is broken by wind, its upper part touches the ground at a point 10 metre from the foot of the tree and makes an angle of 45° with the ground. Then what is the entire height of the tree?
AP POLYCET - 2024
AP POLYCET
Mathematics
Heights and Distances
If two towers of heights h
1
, and h
2
subtend angles of 30° and 60° respectively at the midpoint of the line joining their feet, then the ratio of h
1
: h
2
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Heights and Distances
The HCF of 306 and 657 is
AP POLYCET - 2024
AP POLYCET
Mathematics
LCM and HCF
If the centroid of a triangle formed by the points
\((a,b), (b, c)\)
and
\((c,a)\)
is at the origin, then
\(a^3+b^3+c^3 =\)
AP POLYCET - 2024
AP POLYCET
Mathematics
Triangles
The remainder when the square of any prime number greater than 3 is divided by 6 is
AP POLYCET - 2024
AP POLYCET
Mathematics
Divisibility and Remainder
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
The value of
\(log_2 32\)
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Logarithms
The average of the observations 10, 20, 65, 102, 108, 115 is
AP POLYCET - 2024
AP POLYCET
Mathematics
Average
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
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
The ratio of the sum and product of the roots of the quadratic equation
\(7x^2-12x+18=0\)
is
AP POLYCET - 2024
AP POLYCET
Mathematics
Quadratic Equations
△ABC∼△DEF, the area of △ABC=9 cm
2
and the area of △DEF = 16 cm
2
. If BC=2.1 cm, then EF=
AP POLYCET - 2024
AP POLYCET
Mathematics
Similarity of Triangles
In
\(△ABC\)
,
\(DE || BC\)
,
\(\frac {AD}{DB}=\frac 35\)
and
\(AC=5.6\)
cm, then
\(AE =\)
\(?\)
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 tan 48°.tan 23°.tan 42°.tan 67°=tan(A+30°), then the value of A is
AP POLYCET - 2024
AP POLYCET
Mathematics
Trigonometry
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