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TS POLYCET
List of top Questions asked in TS POLYCET
If
\(sin \ θ=cos\ θ\)
\((0<θ<90°)\)
, then
\(tan\ θ =\)
____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Introduction to Trigonometry
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
Calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm.
TS POLYCET - 2022
TS POLYCET
Mathematics
Tangent to a Circle
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
\(A=45°,\ B=60°,\)
then
\(sin\ A+cos\ B\)
TS POLYCET - 2022
TS POLYCET
Mathematics
Introduction to Trigonometry
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 radius of a sphere is '2r' then the volume will be
TS POLYCET - 2022
TS POLYCET
Mathematics
Volume of a Sphere
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
The radius of the sphere is increased by 100% then the volume of the resultant sphere is increased by
TS POLYCET - 2022
TS POLYCET
Mathematics
Volume of a Sphere
The centroid of a triangle is (4, 1) and two vertices are (2, 3) and (7, 6) then the third vertex is
TS POLYCET - 2022
TS POLYCET
Mathematics
Triangles
In the below figure
\(△PQR~△ABC\)
, then
\(z+y=\)
_____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Right-Angled Triangles And Pythagoras Property
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
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
The angle between the tangent and radius drawn through the point of contact is
TS POLYCET - 2022
TS POLYCET
Mathematics
Tangent to a Circle
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
The mid-point of the line segment joining the points (2, 7) and (12, -7) is
TS POLYCET - 2022
TS POLYCET
Mathematics
Distance Formula
\(△ABC∼△PQR; \ ∠P=60°,\ ∠Q=75°\)
then,
\(∠A=\)
_____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Similarity of Triangles
From the below figure the value of x= _____.
TS POLYCET - 2022
TS POLYCET
Mathematics
Geometry
From the below figure the value of x= _____.
TS POLYCET - 2022
TS POLYCET
Mathematics
Tangent to a Circle
In the below figure
\(△RST∼△RBA\)
, then the value of
\(x\)
is
TS POLYCET - 2022
TS POLYCET
Mathematics
Similarity of Triangles
\(RP\)
and
\(RQ\)
are the two tangents to the circle with centre
\(O\)
and
\(∠POQ=110°\)
, then
\(∠PRQ=\)
_____ .
TS POLYCET - 2022
TS POLYCET
Mathematics
Tangent to a Circle
For a convex lens magnification of virtual image is possible only when the object distance is
TS POLYCET - 2022
TS POLYCET
Physics
spherical lenses
Focal length of the eye lens changes with the help of
TS POLYCET - 2022
TS POLYCET
Physics
Refraction of Light
Direction of electric current and direction of electrons in a conductor are
TS POLYCET - 2022
TS POLYCET
Physics
Electric Current
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