List of top Mathematics Questions

In the adjoining figure, points $A,B,C,D$ lie on a circle. $AD=24$ and $BC=12$. What is the ratio of the area of $\triangle CBE$ to that of $\triangle ADE$? 

 

In $\triangle ABC$, $D$ is a point on $BC$ such that $3BD=BC$. If each side of the triangle is $12\,$cm, then $AD$ equals 

At the end of a business conference, the ten people present all shake hands with each other once. How many handshakes will there be altogether?

$\displaystyle\lim_{x \to \frac{\pi}{2}} \frac{\cot x - \cos x}{\left(\pi - 2x\right)^{3}} $ equals :
If tan (A + B) = m and tan (A - B) = n then value of tan 2A is
The degree and order of the differential equation \((\frac{d^3y}{dx^2})^2 +(\frac{dy}{dx})^4+y^3=0\) is

In the Adjoining figure, if O is the centre of the circle of radius 5cm, OP=13 cm, where PQ and PR are tangents to the circle from point P. Length PR is :

A pair of linear equations \(a_1x + b_1y + c_1 = 0\) and \(a_2x + b_2y + c_2 = 0\) has unique solution if :
If K, 2K \(-1\), 6 are in A.P., then the value of K is :
\(\frac{1 + \tan^2 \theta}{1 + \cot^2 \theta}\) equals ?
Three circles with centres O, P and Q touch each other externally. If their radii are 5 cm, 6 cm & 7 cm respectively, find the perimeter of \(\triangle \text{OPQ}\) :
At some time of the day, the length of the shadow of a tower is equal to its height, then the sun's attitude at that time is :
If \(\sin(30^\circ + \theta) = \cos 40^\circ\), then the value of \(\theta\) is :
If the common difference of an AP is 3 then the difference between 20th terms and 15th terms (\(a_{20} - a_{15}\)) is :
If the equation \(x^2 + 4x + k = 0\) has real and distinct roots then :
The value of \(\sec^2 45^\circ - \tan^2 45^\circ\) is :

In the Adjoining figure DE \(||\) BC and \(\frac{\text{AD}}{\text{DB}} = \frac{3}{5}\) if AC = 4.8 cm. Then AE equals :

The coordinates of the centroid of the triangle whose vertices are \((1, 3)\), \((-2, 7)\) and \((5, -3)\) is :
If A and B are points \((-6, 7)\) and \((-1, -5)\), then three times the length of AB is equal to ?
If \(\tan A - \frac{1}{\tan A} = 1\). Then value of \(\tan^2 A + \frac{1}{\tan^2 A}\) is :
The Graph of the equations \(x + 3y - 2 = 0\) and \(2x - 5y + 1 = 0\) are :
The surface area of a sphere is \(616 \text{ cm}^2\), its diameter (in cm) is :
The area (in sq cm) of a sector whose radius is 18 cm and angle measure of \(30^\circ\) is :
If \(\alpha\) and \(\beta\) are the zeros of the polynomial \(2x^2 - 7x + 3\), then \(\alpha^2 + \beta^2\) is :
The zeros of the quadratic polynomial \(x^2 + 99x + 127\) are :