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Mathematics
List of top Mathematics Questions asked in TS POLYCET
In the below figure
\(△PQR~△ABC\)
, then
\(z+y=\)
_____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Right-Angled Triangles And Pythagoras Property
If the point
\(P(x,y)\)
divides the line segment joining the points
\(A(x_1,y_1\)
) and
\(B(x_2,y_2)\)
internally in the ratio
\(m_1:m_2\)
, then
\(P(x, y)=\)
_____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Section Formula
If the given lines
\(2x+ky=1\)
and
\(3x-5y=7\)
are parallel, then the value of
\(k\)
is
TS POLYCET - 2022
TS POLYCET
Mathematics
Coordinate Geometry
Which of the following is true?
TS POLYCET - 2022
TS POLYCET
Mathematics
Sets
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3 then the ratio of their volumes are
TS POLYCET - 2022
TS POLYCET
Mathematics
Volume of Cube, Cuboid and Cylinder
Which vessel shown in the below figure can hold more water?
TS POLYCET - 2022
TS POLYCET
Mathematics
Volume of Cube, Cuboid and Cylinder
If the equation
\(ax^2-8x+4=0\)
has equal roots then
\(a=\)
____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Quadratic Equation
Average of 11 numbers is 10.5; If one of the number 9 is deleted, then the average of the remaining numbers is
TS POLYCET - 2022
TS POLYCET
Mathematics
Average
The length of the shadow of a vertical pole is
\(\sqrt 3\)
times its original length. The angle of elevation to the sun is ____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Heights and Distances
Find length of a kite string flying at 100 m above the ground with the elevation 60°.
TS POLYCET - 2022
TS POLYCET
Mathematics
Heights and Distances
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
TS POLYCET - 2022
TS POLYCET
Mathematics
Heights and Distances
If
\(A=45°,\ B=60°,\)
then
\(sin\ A+cos\ B\)
TS POLYCET - 2022
TS POLYCET
Mathematics
Introduction to Trigonometry
If
\(sin(A-B)=\frac 12\)
and
\(cos(A+B)=\frac 12\)
, then
\(∠A, ∠B\)
?
TS POLYCET - 2022
TS POLYCET
Mathematics
Introduction to Trigonometry
From the below figure the value of x= _____.
TS POLYCET - 2022
TS POLYCET
Mathematics
Geometry
If
\(sin \ θ=cos\ θ\)
\((0<θ<90°)\)
, then
\(tan\ θ =\)
____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Introduction to Trigonometry
The mid-point of the line segment joining the points (2, 7) and (12, -7) is
TS POLYCET - 2022
TS POLYCET
Mathematics
Distance Formula
If
\(tan(A-B)=\frac {1}{\sqrt 3},\ cos \ A=\frac 12 \)
then
\(∠B=\)
____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Introduction to Trigonometry
The value of
\(\frac {tan\ α}{\sqrt {1+tan^2α}}\)
is ____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Introduction to Trigonometry
In the right angle
\(△ABC,\ ∠B=90°\)
,
\(tan\ C=\frac {5}{12}\)
then the length of hypotenuse is
TS POLYCET - 2022
TS POLYCET
Mathematics
Introduction to Trigonometry
If the radius of a sphere is '2r' then the volume will be
TS POLYCET - 2022
TS POLYCET
Mathematics
Volume of a Sphere
A circle touches the sides of a quadrilateral ABCD at points P, Q, R and S then which of the following is true?
TS POLYCET - 2022
TS POLYCET
Mathematics
Cyclic Quadrilaterals
If in the equation
\(x+3y=10\)
, the value of
\(y\)
is
\(4\)
, then the value of
\(x\)
will be
TS POLYCET - 2022
TS POLYCET
Mathematics
Linear Equations
In the below figure OB = 13 cm; OP = 12 cm and OP⊥AB, then the value of AB is
TS POLYCET - 2022
TS POLYCET
Mathematics
Circle
The curved surface area of a cylinder is
\(264\ m^2\)
and its volume is
\(924\ m^3\)
then height of the cylinder is
TS POLYCET - 2022
TS POLYCET
Mathematics
Surface Area of Cube, Cuboid and Cylinder
If
\(\frac {a_1}{a_2}=\frac {b_1}{b_2}≠\frac {c_1}{c_2}\)
, then the lines are
TS POLYCET - 2022
TS POLYCET
Mathematics
Solution of a Linear Equation
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