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Mathematics
List of top Mathematics Questions
P(x)+P("not x") =
TS POLYCET - 2021
TS POLYCET
Mathematics
Probability
The base of two similar triangles are 24 cm and 18 cm. If one side of the first triangle is 8 cm then corresponding side of other triangle is
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Mathematics
Angle Sum Property Of A Triangle
In the
\( ∆ABC; D, E\)
and
\(F\)
are the mid points of the sides
\(BC, CA\)
and
\(AB.\)
Then area of
\(∆DEF:\)
area of
\(∆ABC=\)
_____
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Mathematics
Triangles
In the given figure
\(∠BAC = 90^ \degree\)
,
\( AD ⊥ BC, BD=9\)
cm and
\(CD=16\)
cm then
\(AC=?\)
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Mathematics
Triangles
In the figure
\(OB = 13\)
cm,
\(OP⊥AB\)
,
\(OP=12\)
cm then
\(AB =\)
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Mathematics
Circles
If
\(\cot \theta = \frac{b}{a}\)
then
\(\frac{\cos \theta + \sin \theta}{\cos \theta - \sin \theta}\)
=
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Mathematics
Some Applications of Trigonometry
The value of
\(\frac{1 - \tan^2 45^\circ}{1 + \tan^2 45^\circ}=\)
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Mathematics
Some Applications of Trigonometry
How many two digit numbers are divisible by 7?
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Mathematics
Natural Number
The value of
\(\sin \theta\)
or
\(cosθ\)
never exceeds
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Mathematics
Trigonometric Identities
The roots of
\(x^2+x-6=0\)
are
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Mathematics
Quadratic Equations
If
\(α, ẞ\)
are the roots of a quadratic equation
\( ax^2 + bx+c=0, a ≠0\)
then
\(\frac{1}{\alpha} + \frac{1}{\beta}\)
=___
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Mathematics
Quadratic Equations
If
\(x^2+kx+1=0\)
has a root x=1 then k=____
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Mathematics
Quadratic Equations
If the roots of the quadratic equation
\(ax^2 + bx+c=0\)
are
\(sin α\)
and
\(cos α\)
, then
\(1+2\frac{c}{a}=\)
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Mathematics
Quadratic Equations
A={C,O,V,I, D, 19, 2020}, B={C,O,V,I, D, 19, 2021} then B-A=?
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Mathematics
Sets
The tops of two poles are of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is
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Mathematics
Right-Angled Triangles And Pythagoras Property
Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube then the length of the edge of the new cube is
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Mathematics
Conic sections
A reservoir is in the shape of a frustum of a right circular cone. It is 8 m across at the top and 4 m cross at the bottom. It is 6 m deep then its capacity is
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Mathematics
Conic sections
Which of the following equation is not a linear equation?
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Mathematics
Solution of a Linear Equation
If the system of equations 3x-2y-7=0 and kx+2y+11=0 has unique solution then
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Mathematics
Solution of a Linear Equation
\(\frac{1}{\sqrt{2}}\)
is ______ .
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Mathematics
Irrational Numbers
The median of 17,31, 12, 27, 15, 19, 23 is
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Mathematics
Mean, median, mode and standard deviation
In the figure, the value of cosec A is
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Mathematics
Trigonometric Functions of Sum and Difference of Two Angles
If the diameter of a sphere is 'd' then its volume is
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Mathematics
Volume of a Sphere
If 7x-5y=2 and 3x+y=4, then x=?
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Mathematics
Solution of a Linear Equation
If x+7y=7 and 7x-3y=-3, then y =?
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Mathematics
Solution of a Linear Equation
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