List of top Mathematics Questions asked in TS POLYCET

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

The length of the shadow of a vertical pole is \(\sqrt 3\) times its original length. The angle of elevation to the sun is ____ .

The base of common logarithm is

The value of \(log_{1250} 1250\) is

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

A circle touches the sides of a quadrilateral ABCD at points P, Q, R and S then which of the following is true?

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

\(\sqrt p+\sqrt q\) is an irrational number, where \(p, q\) are

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

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

From the below figure the value of x= _____.

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

If \(sin(A-B)=\frac 12\) and \(cos(A+B)=\frac 12\), then \(∠A, ∠B\) ?

If \(sin \ θ=cos\  θ\) \((0<θ<90°)\), then \(tan\ θ =\) ____ .

From the below figure the value of x= _____.

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

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

If \(tan(A-B)=\frac {1}{\sqrt 3},\ cos \ A=\frac 12 \) then \(∠B=\) ____ .

The value of \(\frac {tan\ α}{\sqrt {1+tan^2α}}\) is ____ .

In the right angle \(△ABC,\ ∠B=90°\), \(tan\ C=\frac {5}{12}\) then the length of hypotenuse is

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

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

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

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