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AP POLYCET
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Mathematics
List of top Mathematics Questions asked in AP POLYCET
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Assuming that there is no slack in the string, the length of the string is
AP POLYCET - 2020
AP POLYCET
Mathematics
Linear Equations
\(\frac{sinθ}{1+cosθ}=\)
AP POLYCET - 2020
AP POLYCET
Mathematics
Fraction
If x=a sec o and y-b tan o, then the value of
b2
x
2
….a
2
y
2
is
AP POLYCET - 2020
AP POLYCET
Mathematics
Fraction
If tan(A-B)=
\(\frac{1}{\sqrt3}\)
and sin A=
\(\frac{1}{\sqrt2}\)
, then the value of B is
AP POLYCET - 2020
AP POLYCET
Mathematics
Trigonometry
\(\frac{2\,tan\,30^0}{1-tan^2\,30^0}=\)
AP POLYCET - 2020
AP POLYCET
Mathematics
Trigonometry
The value of is
\(\frac{tan 65°}{ cot 25°}\)
is
AP POLYCET - 2020
AP POLYCET
Mathematics
Trigonometry
The value of cos1°cos 2°…… cos180° is
AP POLYCET - 2020
AP POLYCET
Mathematics
Trigonometric Identities
cos(90°-θ) sin (90°-θ)=
AP POLYCET - 2020
AP POLYCET
Mathematics
Trigonometry
The total surface area of a cone with slant height 21 m and diameter of its base 24 m is
AP POLYCET - 2020
AP POLYCET
Mathematics
Surface Area of a Right Circular Cone
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, then how many litres of soup the hospital management has to prepare daily to serve 100 patients?
AP POLYCET - 2020
AP POLYCET
Mathematics
Linear Equations
A tangent is drawn from an external point P to a circle of 8 cm radius. If the length of the tangent is 15 cm then the distance between the centre of the circle and point P is
AP POLYCET - 2019
AP POLYCET
Mathematics
Tangent to a Circle
The pair of equations 2x+3y= 5 and 6x+ky = 12 has no solution if k=
AP POLYCET - 2019
AP POLYCET
Mathematics
Solution of a Linear Equation
The length, breadth and height of a room are 10 m, 10√2 m and 10 m respectively. The angle of elevation of a top corner of room from any point on a diagonal of the base of the room is
AP POLYCET - 2019
AP POLYCET
Mathematics
Heights and Distances
The area of the triangle formed by (-1, 2), (2, -1) and (0, 0) is
AP POLYCET - 2019
AP POLYCET
Mathematics
Area
The midpoint of line segment joining (x, y) and (-7, 5) is (4, 6). Then x=,y=
AP POLYCET - 2019
AP POLYCET
Mathematics
Coordinate Geometry
The points A(a, 2), B(3, 1), C(-1, 3) do not form a triangle if a=
AP POLYCET - 2019
AP POLYCET
Mathematics
Triangles
If the points A(5, 3), B(8, 5), C(x, y) and D(7, 2) are consecutive vertices of a parallelogram then (x, y) = A(5, 3), B(8, 5), C(x, y)=
AP POLYCET - 2019
AP POLYCET
Mathematics
Area Of A Parallelogram
In an AP the 5th term is 24 and 12th term is 94, then the sum of first 20 terms is
AP POLYCET - 2019
AP POLYCET
Mathematics
Arithmetic Progressions
The roots of a quadratic equation are irrational. Then
AP POLYCET - 2019
AP POLYCET
Mathematics
Quadratic Equations
Sum of the squares of two consecutive even positive integers is 340. The numbers are
AP POLYCET - 2019
AP POLYCET
Mathematics
Divisibility and Remainder
If the difference of reciprocals of ages of a boy three years ago and five years from now is then the present age of the boy in years is
AP POLYCET - 2019
AP POLYCET
Mathematics
distance
\(f(x)=5x^4-9x^3-3x^2+11x-18\)
is divided by
\((x-2)\)
then the remainder is
AP POLYCET - 2019
AP POLYCET
Mathematics
Quadratic Equations
If the solutions of ax + by = 2 and bx+y=5 are 4, 6 then a =
AP POLYCET - 2019
AP POLYCET
Mathematics
Solution of a Linear Equation
A ball is thrown from the top of a building of height 25 m with an initial velocity of 15 m/sec. If the height of the ball h from ground at any point of time t is given by
\(h=25+10t-3t^2\)
. The time taken by the ball to reach the ground is
AP POLYCET - 2019
AP POLYCET
Mathematics
Time, Speed and Distance
\(\sqrt{3}x + \sqrt{2}y = 2\sqrt{2}\)
;
\(\sqrt{2}x - \sqrt{3}y = 3\sqrt{3}\)
implies
\(x=,y=\)
AP POLYCET - 2019
AP POLYCET
Mathematics
Square Roots
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