List of top Mathematics Questions asked in TS POLYCET

If \(\triangle ABC\) is a right triangle right angled at \(C\) and let \(BC = a\), \(CA = b\), \(AB = c\) and let \(p\) be the length of perpendicular from \(C\) on \(AB\), then:

The distance between the points \((x_1, y_1)\) and \((x_2, y_2)\) is:

If \(A\), \(B\), and \(C\) are interior angles of triangle \(ABC\), then the value of \(\cos \left( \frac{A + B}{2} \right)\) is:

Which of the following is not a formula for arithmetic mean?

In a grouped frequency distribution, the formula to find median 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 =

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

In the figure, if AP and AQ are the two tangents to a circle with centre 'O' so that \(∠OQP=15°\), then \(∠QAP=\)

If A= {P,O,L,Y,T,E,C,H,N, I} and B = {E, X, A, M}, then \(A∩B =\)

The line x=7 is_____

The angle of elevation of top of the cliff from a point 300 m from its foot is 600. Then the height of the cliff is

A person is flying a kite at a height of 30 m from the horizontal level. The length of string from the kite to the person is 60 m. Assuming that here is no slack in the string, the angle of elevation of kite to the horizontal level 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 

(x+a) is a factor of f(x), if

Empirical relation between Mean, Median and Mode is

The two lines 2x+3y=7, 8x+12y=1 are____lines

Product of zeroes of polynomial \(5x^2-1\) is

If \(\sec \theta = \frac{2}{\sqrt{3}}\),then \(cosθ=\)

The value of \(\frac{\cot 45^\circ}{\sin 30^\circ + \cos 60^\circ}\) is

What is the median of 47, 52, 57, 62, 67, 72, 77, 78 ?

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

Find the missing value of "p" from the following table when Arithmetic Mean is 3.55.

X	1	2	3	4	5	6
F	8	9	p	16	9	8

Two events \(E_1\) and \(E_2\) are mutually exclusive then \(E_1∩E_2 =\)

\(\sqrt{2}+\sqrt{3}\) is

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