List of top Mathematics Questions asked in TS POLYCET

If \( A = 45^\circ \), then the value of \( \sin A + \cos A + \cos 2A \) is?
The area of the triangle with vertices \( (1, 1), (-4, 6), (-3, -5) \) is?
If \( \frac{5}{x+1} + \frac{1}{y-3} = 2 \) and \( \frac{6}{x+1} - \frac{3}{y-3} = 1 \), then \( x = \dots \):
If a line is passing through the points (2, 5) and (x, 3) and its slope is 2. Then the value of 'x' is?
The total surface area of a hemisphere solid having radius 7 cm is:
The terms 4, 7, 10, \dots form an A.P. The sum of the first 15 terms is?
Which term of G.P. \( 2, 2\sqrt{2}, 4, \dots \) is 128?
The value of \( \frac{1 - \tan^2 45^\circ}{1 + \tan^2 45^\circ} \) is:
The pair of linear equations \( 2x - 3y = 8 \) and \( 4x - 6y = 9 \) represents the following:
If \( \alpha, \beta \) are the roots of \( 2x^2 - 4x + 5 = 0 \), then \( (\alpha + 1)(\beta + 1) = \):
The expression \((6 + 5\sqrt{3}) - (4 - 3\sqrt{3})\) is:
The median of 75, 21, 56, 36, 81, 05, and 42 is
Two boys on either side of a temple of 45 meters height observe its top at the angles of elevation 30° and 60° respectively. Find the distance between the two boys.
The sum of the roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) is:
The length of the tangent from a point 15 cm away from the centre of a circle of radius 9 cm is:
The value of \(p\), for which the pair of equations \(3x + 4y + 2 = 0\) and \(9x + py + 8 = 0\) represents parallel lines, is:
The value of \(\log_6 2 + \log_6 3\) is:
H.C.F. of 2023, 2024, 2025 is:
Which of the following rational number has terminating decimal?
If \(\frac{2}{\sqrt{x}} = 2\) and \(\frac{4}{\sqrt{y}} = -1\), then
Which term of the A.P.: \(20, 18, 16, \dots\) is \(-80\)?
The discriminant of the quadratic equation \(3x^2 - 2x + \frac{1}{3} = 0\) is:
How many two-digit numbers are divisible by 3?
In a G.P. the 3rd term is 24 and 6th is 192, then the 10th term is:
Rainfall of a town in a week is 4 cm, 5 cm, 12 cm, 3 cm, 6 cm, 8 cm, and 4 cm, then the average rainfall per day is: