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

A tangent AB at a point 'A' of a circle of radius 7 cm meets a line through the centre 'C' at a point 'B' so that CB=11 cm, then the length of AB =

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

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 =

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

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 \(\pi = \frac{22}{7}\))

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

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

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 given lines \(2x+ky=1\) and \(3x-5y=7\) are parallel, then the value of \(k\) is

The radius of the sphere is increased by 100% then the volume of the resultant sphere is increased by

If a quadratic equation \(2x^2 + kx+3=0\) have two equal roots then \(k=\)

The slope of the line which makes \(\frac {3\pi}{4}\)angle with the positive direction of x-axis is

In the below figure \(△RST∼△RBA\), then the value of \(x\) is

\(△ABC∼△PQR; \ ∠P=60°,\ ∠Q=75°\) then, \(∠A=\) _____ .

If \(A=45°,\ B=60°,\) then \(sin\ A+cos\ B\)

If in the equation \(x+3y=10\), the value of \(y\) is \(4\), then the value of \(x\) will be

If mode = 29, mean = 32 then median ____ .

A bag contains '4' black balls and '6' red balls. If one ball is drawn at random, then the probability of getting red ball is