List of top Mathematics Questions asked in TS POLYCET

If the ratio of base radii of right circular cylinder and cone is 2 : 3 and the ratio of their heights is 3: 4, then the ratio of their volumes is

The angle between a tangent to a circle and the radius drawn at the point of contact is

If the radius of a sphere is 3.5 cm, then the volume and total surface area of a sphere are respectively.... (use \(\pi=\frac{22}{7}\))

In the given figure, \(∠ADE = ∠CBA\), if AD=3.8 cm, AE=3.6 cm, BE= 2.1 cm and BC= 4.2 cm, then DE =

If the total surface area of the cube is 864 cm², then its volume is

If the angle of sector is 30°, then the area of a sector of the circle with radius 7 cm is___(use \(\pi = \frac{22}{7}\))

The value of cos 60° cos 30°- sin 60° sin 30° is

In a trapezium ABCD with \(AB || DC\)  and diagonals intersect each other at the point 'O'. If \(AB=2CD\), then the ratio of areas of triangles COD and AOB is 

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 =

If the ratio of corresponding sides of two similar triangles is 4: 9, then the ratio of areas of these triangles is

The points of intersection of the lines 2x+3y-5=0 and 3x-4y+1=0 lies in which quadrant ?

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

If the roots of the quadratic equation \(px^2+qx+r=0\), are equal, then \(q^2 =\)

If three points (8, 1), (k,-4) and (2,-5) are collinear, then k=

The sum of roots of the quadratic equation \(3x^2-6x+1=0\) is

If ax+b=0, then x =

The line x=7 is_____

If the 2^nd term and 5^th term of a GP are 24, 81 then the r=

Which term of GP. \(\sqrt3\),\(3,3\sqrt3...\) is 729 ?

The solution of system of equations \(\frac{2}{x} + \frac{3}{y} = 13\) and \(\frac{5}{x} - \frac{4}{y} = -2\) is ______

In the following equations, the line passing through (0, 0) is

The sum of first '100' natural numbers is

If \(\alpha,\beta\) are the zeroes of the quadratic polynomial \(ax^2 + bx+c\), \(a ≠0\) then \(\alpha^2+\beta^2=\)

Find the 10^th term of A.P. 5, 1, -3, -7..... is

If a, b, c are in G.P. then \(\frac{a}{b}=\)