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

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

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

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

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

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

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

From the below figure the value of x= _____.

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

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

From the below figure the value of x= _____.

The base of common logarithm is

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

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

Which of the following is true?

If the radius of a sphere is '2r' then the volume will be

Which vessel shown in the below figure can hold more water?

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

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 mid-point of the line segment joining the points (2, 7) and (12, -7) is

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

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