List of top Mathematics Questions

The total number of terms in the expansion of \( (x + y)^{100} + (x - y)^{100} \):

The coefficient of \( x^{20} \) in the expansion of \( (1 + 3x + 3x^2 + x^3)^{20} \):

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

The base of common logarithm is

The value of \(log_{1250} 1250\) is

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

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

If the point \(P(x,y)\) divides the line segment joining the points \(A(x_1,y_1\)) and \(B(x_2,y_2)\) internally in the ratio \(m_1:m_2\), then \(P(x, y)=\) _____ .

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

A bag contains '4' black balls and '6' red balls. If one ball is drawn at random, then the probability of getting red ball is

Identify the correct statement -

When two dice are rolled the probability of getting same odd number on two dice is

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

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

The zero's of a quadratic polynomial \(4y^2+8y \) are

If sum and product of zero's of a Quadratic polynomial are 1, 1 respectively, then its corresponding quadratic polynomial is

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

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

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

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

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

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

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