List of top Mathematics Questions asked in Telangana State Polytechnic Common Entrance Test

If a right circular cylinder has base radius 7 cm and height 10 cm, then its volume is ____(use \(\pi = \frac{22}{7}\))

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

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

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

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

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

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 

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

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

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

If ax+b=0, then x =

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

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

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

The value of \(\text{log}_{625}\ 5\) is