List of top Mathematics Questions asked in TS POLYCET

If \(\alpha, \beta\) are the zeros of the polynomial \(P(x) = 3x^2 - x - 4\), then \(\alpha \times \beta =\)
The pair of equations \(x + y = 5\) and \(2x + 2y = k\) has infinitely many solutions if \(k =\)
In \(\triangle ABC\), if \(DE \parallel BC\), \(AE/CE = 3/5\) and \(AB = 5.6\) cm, then \(AD =\):
In △ABC, if DE ∥ BC
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:
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:
△ABC, if DE ∥ BC, AD = x, DB = x−2,
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:
The common ratio of G.P.: \(25, -5, 1, -\frac{1}{5}, \dots\) is:
Sum of the areas of two squares is 625 m\(^2\). If the difference of their perimeters is 20 m, find the sides of the two squares.
One card is selected from a well-shuffled deck of 52 cards, the probability of getting the queen of diamonds is:
\(\{0\}\) is a set which has ........ elements.
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
If a right circular cylinder has base radius 14 cm and height 21 cm, then its curved surface area 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:
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 \(\angle PAQ =\):
AP and AQ are the two tangents to a circle
The value of \(\sin^2 15^\circ + \cos^2 15^\circ\) is:
Exponential form of \(\log_b a = c\) is:
Which of the following two sets are equal sets?
Mode of the data 9, 10, 19, 7, 11, 5, 6, 7, 8, 14, 10, 7, 6 is
If \(A\), \(B\), and \(C\) are interior angles of triangle \(ABC\), then the value of \(\cos \left( \frac{A + B}{2} \right)\) is:
In a grouped frequency distribution, the formula to find median is
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).