List of top Mathematics Questions asked in TS POLYCET

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

If a right circular cylinder has base radius 7 cm and height 10 cm, then its volume 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 angle of elevation of the top of the tower, whose height is 15 mts, at a point whose distance from the base of the tower is 15 mts is

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

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

Identify the correct statement -

If \(\frac {a_1}{a_2}=\frac {b_1}{b_2}≠\frac {c_1}{c_2}\), then the lines are

When two dice are rolled the probability of getting same odd number on two dice is

Which of the following is true?

The pair of equations \(\frac 32x+\frac 53y=7, \ 9x-10y=12\), represents the following

Calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm.

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

The pair of equations \(3x+4y=k \)and \(9x+12y=6\) has infinitely many solutions if \(k=\)

If the equation \(ax^2-8x+4=0\) has equal roots then \(a=\) ____ .

The tops of two poles are of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is

The zero's of a quadratic polynomial \(4y^2+8y \) are

The median of -4, -6, -5, 3, 0, 5 and 11 is

Find length of a kite string flying at 100 m above the ground with the elevation 60°.

If sum and product of zero's of a Quadratic polynomial are 1, 1 respectively, then its corresponding quadratic polynomial is

Average of 11 numbers is 10.5; If one of the number 9 is deleted, then the average of the remaining numbers is

The centroid of a triangle is (4, 1) and two vertices are (2, 3) and (7, 6) then the third vertex is

The angle between the tangent and radius drawn through the point of contact is