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TS POLYCET
List of top Questions asked in TS POLYCET
A boy observed the top of an electric pole at an angle of elevation of \(60^\circ\) when the observation point is 6 meters away from the foot of the pole, then the height of the pole is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Trigonometric Identities
The magnetic force exerted on a 3 m length conductor carrying 2A current when placed in a uniform magnetic field 0.4 T at an angle 30° is
TS POLYCET - 2024
TS POLYCET
Physics
Moving charges and magnetism
A chord of a circle of radius 4 cm is making an angle 60° at the centre, then the length of the chord is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Circles
The volume of a right circular cone with radius 6 cm and height 7 cm is:
(use \(\pi = \frac{22}{7}\))
TS POLYCET - 2024
TS POLYCET
Mathematics
Mensuration
If two cubes each of volume 64 cm\(^3\) are joined end to end together, then the surface area of the resulting cuboid is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Mensuration
The roots of the quadratic equation \(x^2 - 4x + 4 = 0\) are:
TS POLYCET - 2024
TS POLYCET
Mathematics
Quadratic Equations
The area of a sector, whose radius is 7 cm with the angle 72° is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Circles
If \(\csc \theta + \cot \theta = k\), then the value of \(\csc \theta\) is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Trigonometric Identities
If two concentric circles of radii 5 cm and 3 cm are drawn, then the length of the chord of the larger circle which touches the smaller circle is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Circles
Area of the triangle formed by the points \((-5, -1)\), \((3, -5)\) and \((5, 2)\) is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Area of a Triangle - by Heron’s Formula
If the areas of two similar triangles are 81 cm\(^2\) and 49 cm\(^2\) respectively. If the altitude of the smaller triangle is 3.5 cm, then the corresponding altitude of the bigger triangle is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Triangles
The centroid of the triangle with vertices \((1, -1)\), \((0, 6)\), and \((-3, 0)\) is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Triangles
Bond angle in BeCl\(_2\) molecule is
TS POLYCET - 2024
TS POLYCET
Chemistry
Chemical bonding and molecular structure
If -1, -2 are two zeros of a polynomial \(2x^3 + ax^2 + bx - 2\), then the values of \(a\) and \(b\) are
TS POLYCET - 2024
TS POLYCET
Mathematics
Polynomials
The product of prime factors of 2024 is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Prime and Composite Numbers
If \(\alpha, \beta\) are the zeros of the polynomial \(P(x) = 3x^2 - x - 4\), then \(\alpha \times \beta =\)
TS POLYCET - 2024
TS POLYCET
Mathematics
Quadratic Equations
The pair of equations \(x + y = 5\) and \(2x + 2y = k\) has infinitely many solutions if \(k =\)
TS POLYCET - 2024
TS POLYCET
Mathematics
Linear Equations
In \(\triangle ABC\), if \(DE \parallel BC\), \(AE/CE = 3/5\) and \(AB = 5.6\) cm, then \(AD =\):
TS POLYCET - 2024
TS POLYCET
Mathematics
Area of a Triangle - by Heron’s Formula
The focal length of a concave mirror is 20 cm. At what distance the object is placed to obtain the virtual image?
TS POLYCET - 2024
TS POLYCET
Physics
Mirrors and Images
A girl of height 90 cm is walking away from the base of a lamp post at a speed of 120 cm/sec. If the lamp post is 360 cm above the ground, then the length of her shadow after 4 seconds is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Triangles
In \(\triangle ABC\), if \(DE \parallel BC\), \(AD = x\), \(DB = x - 2\), \(AE = x + 2\), and \(EC = x - 1\), then the value of \(x\) is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Area of a Triangle - by Heron’s Formula
The coordinates of the point which divides the line segment joining the points \((4, -3)\) and \((8, 5)\) in the ratio 3:1 internally is:
TS POLYCET - 2024
TS POLYCET
Mathematics
Section Formula
Calculate the resultant resistance in the following circuit.
TS POLYCET - 2024
TS POLYCET
Physics
Resistance
The process of dissolving acid or base in water is
TS POLYCET - 2024
TS POLYCET
Chemistry
Acid-base titrations
Number of elements present in the sixth period of the modern periodic table
TS POLYCET - 2024
TS POLYCET
Chemistry
Periodic Table
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