List of top Questions asked in TS POLYCET

If \(α, ẞ\) are the roots of a quadratic equation \( ax^2 + bx+c=0, a ≠0\) then \(\frac{1}{\alpha} + \frac{1}{\beta}\)=___

10^th term of an arithmetic progression 2,-1,-4,....... is

How many two digit numbers are divisible by 7?

The sum of 15 terms of A.P. 3, 6, 9,...

The value of x which satisfies the equation 2x-(4-x)=5-x is

Solution of the equations 3x-4y=7 and 2x+3y=-1 is not equal to

If \(\sum_{n=45}\), then n= ____

The centre of a circle with (1, 2) and (7, -4), as end points of the diameter is

Area of a triangle formed by the line \(x \cos \alpha + y \sin \alpha = p\) with the coordinate axes is

If x+7y=7 and 7x-3y=-3, then y =?

Which of the following equation is not a linear equation?

If \(x^2+kx+1=0\) has a root x=1 then k=____

If the roots of the quadratic equation \(ax^2 + bx+c=0\) are \(sin α\) and \(cos α\), then \(1+2\frac{c}{a}=\)

If the system of equations 3x-2y-7=0 and kx+2y+11=0 has unique solution then

If 7x-5y=2 and 3x+y=4, then x=?

The distance between the points (0, 0) and (5, 12) is

If the slope of the line through (x, 5) and (5, 2) is 3, then the value of x is

If \(\Delta ABC ∼ \Delta PQR\),\(∠A=32°,∠R=65°\) then \(∠B=?\)

The angle in the minor segment is

In the figure \(∠BAO 30°, ∠BCO=40°\) then \(∠AOC = ?\)

Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube then the length of the edge of the new cube is

If A+B=90° and cot B =¾ then the value of tan A=

In the figure, AP=12 cm, PB = 16 cm. Let \(\pi=3\), then the perimeter of the shaded portion is

If the diameter of a sphere is 'd' then its volume is

A reservoir is in the shape of a frustum of a right circular cone. It is 8 m across at the top and 4 m cross at the bottom. It is 6 m deep then its capacity is