List of top Mathematics Questions asked in TS POLYCET

The value of \(\sin^2 15^\circ + \cos^2 15^\circ\) is:

If a cylinder and a cone have bases of equal radii and are of equal heights, then their volumes are in the ratio of:

If a right circular cylinder has base radius 14 cm and height 21 cm, then its curved surface area is:

There are exactly _________________________ tangents to a circle through a point outside the circle.

If \(AP\) and \(AQ\) are the two tangents to a circle with center \(O\), such that \(\angle POQ = 110^\circ\), then \(\angle PAQ =\):

Which of the following equation represents the situation where Kiran bought 5 oranges, 7 apples, and Harish bought 2 oranges, 12 apples for the same amount of total money?

If \(\frac{a_1}{a_2} \neq \frac{b_1}{b_2}\), where \(a_1x + b_1y + c_1 = 0\) and \(a_2x + b_2y + c_2 = 0\) are two linear equations, then the equations

The value of \(\cos 54^\circ \cos 36^\circ - \sin 54^\circ \sin 36^\circ\) is:

Which of the following two sets are equal sets?

Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is 13?

If \(P(x) = 11x^8 - 5x^6 + 4x^4 - 7x^2 + 6\), then the degree of \(P(x)\) is

A tangent to a circle touches it in _________________________ point(s).

If \(A\), \(B\), and \(C\) are interior angles of triangle \(ABC\), then the value of \(\cos \left( \frac{A + B}{2} \right)\) is:

Mode of the data 9, 10, 19, 7, 11, 5, 6, 7, 8, 14, 10, 7, 6 is

If the ratio of corresponding sides of two similar triangles is 2:3, then the ratio of areas of these triangles is:

If \(\triangle ABC\) is a right triangle right angled at \(C\) and let \(BC = a\), \(CA = b\), \(AB = c\) and let \(p\) be the length of perpendicular from \(C\) on \(AB\), then:

The distance between the points \((x_1, y_1)\) and \((x_2, y_2)\) is:

Exponential form of \(\log_b a = c\) is:

In a grouped frequency distribution, the formula to find median is

Which of the following is not a formula for arithmetic mean?

A circle with centre 'O', 'P' is a point outside the circle and PA and PB are two tangents to the circle at the point of contacts 'A' and 'B' from 'P'. If the length of PA 10 cm, then the length of PB =

Distance between the points (4,-8), (5,-2) is

In the figure, if AP and AQ are the two tangents to a circle with centre 'O' so that \(∠OQP=15°\), then \(∠QAP=\)

If A= {P,O,L,Y,T,E,C,H,N, I} and B = {E, X, A, M}, then \(A∩B =\)

If \(\sec \theta = \frac{2}{\sqrt{3}}\),then \(cosθ=\)