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 \( (1 + 3x + 3x^2 + x^3)^{20} \):
\(RP\) and \(RQ\) are the two tangents to the circle with centre \(O\) and \(∠POQ=110°\), then \(∠PRQ=\) _____ .
RP and RQ are the two tangents to the circle with centre O and ∠POQ=110°,then ∠PRQ=__.
The length of the shadow of a vertical pole is \(\sqrt 3\) times its original length. The angle of elevation to the sun is ____ .
Calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm.
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 \(P(x, y)=\) _____ .
Find length of a kite string flying at 100 m above the ground with the elevation 60°.
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
From the below figure the value of x= _____.
From the below figure the value of x
\(\sqrt p+\sqrt q\) is an irrational number, where \(p, q\) are
Which vessel shown in the below figure can hold more water?
Which vessel shown in the below figure can hold more water?
The angle between the tangent and radius drawn through the point of contact is
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
If the radius of a sphere is '2r' then the volume will be
The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3 then the ratio of their volumes are
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
From the below figure the value of x= _____.
From the below figure the value of x
The centroid of a triangle is (4, 1) and two vertices are (2, 3) and (7, 6) then the third vertex is
If \(\frac {a_1}{a_2}=\frac {b_1}{b_2}≠\frac {c_1}{c_2}\), then the lines are
The pair of equations \(\frac 32x+\frac 53y=7, \ 9x-10y=12\), represents the following
If \(sin(A-B)=\frac 12\) and \(cos(A+B)=\frac 12\), then \(∠A, ∠B\) ?
If \(sin \ θ=cos\  θ\) \((0<θ<90°)\), then \(tan\ θ =\) ____ .