List of top Mathematics Questions asked in TS POLYCET

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

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

If A = {1, 2, 3, 4, 5} and B={4, 5, 6, 7} then A-B=__

If the equation 3x²+2x+k=0 has real roots then k is

The condition for ax² + bx+c=0 to be a quadratic equation is

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

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

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

The H.C.F. of 7, 8, 9 is

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

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

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

If \(P(A) = \frac{4}{15}\),then \(P(\overline{A})=\)

A box contains 7 red marbles and 9 green marbles. If a marble is drawn at random from the box, then the probability of not getting a red marble is

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

The value of \(\tan 26^\circ.  \tan 64^\circ\) is 

The value of \(\sqrt{\frac{1+sin\ \theta}{1-sin\ \theta}}\) is

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

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

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

In the given figure, \(PQ||BC\). If AP=3 cm, BP=2 cm and CQ=3 cm, then AQ= 

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

In any \(△ABC\), the value of \(\sin \left( \frac{A + B}{2} \right)\) is

Find the area of the shaded region in figure, if ABCD is a square of side 14 cm, APD and BPC are semicircles.(use \(\pi = \frac{22}{7}\))