List of top Mathematics Questions

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 \(sin\ A+cos\ B\)

\(RP\) and \(RQ\) are the two tangents to the circle with centre \(O\) and \(∠POQ=110°\), then \(∠PRQ=\) _____ .

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

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

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

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

From the below figure the value of x= _____.

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

Which of the following is true?

In the below figure OB = 13 cm; OP = 12 cm and OP⊥AB, then the value of AB is

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

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

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

The curved surface area of a cylinder is \(264\ m^2\) and its volume is \(924\ m^3\) then height of the cylinder is

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

The sum of \(10\) terms of A.P. \(:2,7,12,.........\) is

If \(α, β\) are the roots of a quadratic equation \(ax^2+bx+c=0,\ a≠0\) then \(α^2+β^2\)

If the H.C.F. of any two numbers is equal to '1' then those numbers are called as

The distance between the points (2, 3) and (4, 1) is

The sum of first 'n' natural numbers is

The pair of equations x=0 and x=5 has

The degree of a quadratic equation \(ax^2+bx+c=0, \ a≠0\) is