List of top Mathematics Questions asked in TS POLYCET

A train travels $400 \text{ km}$ at a uniform speed. If the speed had been $10 \text{ km/h}$ more, it would have taken $2$ hours less for the same journey, then the speed of the train is _____.
For what values of $k$ does the quadratic equation $9x^2 + kx + 1 = 0$ have equal roots?
What is the nature of the roots of the quadratic equation $x^2 - 7x + 10 = 0$?
Which of the following are roots of the quadratic equation $6x^2-x-2=0$?
The $X$-axis and $Y$-axis intersect at the point _____.
The value of $x$ that satisfies the equation $11(x+2)-5(x-2)=4(x+4)$ is _____.
If $\alpha, \beta, \gamma$ are the zeroes of $4x^3 + 8x^2 - 6x - 2$, then the value of $\alpha\beta + \beta\gamma + \gamma\alpha$ is _____.
The value of $\tan 48^\circ \tan 16^\circ \tan 42^\circ \tan 74^\circ$ is _____.
The graphical representation of a quadratic polynomial $ax^2 + bx + c$ is a _____.
Which of the following forms an Arithmetic Progression?
The formula for finding the roots of quadratic equation is _____.
The pair of linear equations $x-y-1=0$ and $x-2y+2=0$ represents _____ lines.
If the sum of two numbers is 8 and their difference is 2, then those two numbers are _____.
The solution of the pair of linear equations \(x+y=14\) and \(x-y=4\) is _____.
Area of the sector of a circle with radius \(7 \text{ cm}\) and the angle at the centre is \(270^\circ\) is _____ \(\text{cm}^2\).
If two linear equations represent the same line, then the pair of linear equations has _____.
The total surface area of cuboid of length \(l\), breadth \(b\), height \(h\) is _____.
In the above figure tangents \(PA\) and \(PB\) from a point \(P\) to a circle with centre \(O\) are inclined to each other at an angle of \(60^\circ\), then \(\angle POA =\) _____.
The length of tangent from a point 17 cm away from the centre of a circle of radius 8 cm is _____ cm.
If \(3\tan A = 4 \quad (0^\circ < A < 90^\circ)\), then the value of \(\sin A\) is \dots
The lengths of the two tangents from an external point to a circle are _____.
A circle can have _____ parallel tangents at the most.
The value of \(2\tan^2 45^\circ + \cos^2 30^\circ - \sin^2 60^\circ\) is \dots
A right circular cylinder has base radius \(14 \text{ cm}\) and height \(21 \text{ cm}\) then its volume is _____ \(\text{cm}^3\).
If the ratio of corresponding sides of two similar triangles is \(2:7\), then the ratio of the areas of the triangles is _____.