List of top Mathematics Questions

If \( A = \begin{bmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & a \end{bmatrix} \), then \( |A| \cdot \text{adj}(A) \) is equal to:
The argument of \( \dfrac{1 - i\sqrt{3}}{1 + i\sqrt{3}} \) is:
\( (i + \sqrt{3})^{100} + (i - \sqrt{3})^{100} + 2^{100} \) is equal to:
The total number of terms in the expansion of \( (x + y)^{100} + (x - y)^{100} \):
The coefficient of \( x^{20} \) in the expansion of \( (1 + 3x + 3x^2 + x^3)^{20} \):
Average of 11 numbers is 10.5; If one of the number 9 is deleted, then the average of the remaining numbers is
The pair of equations \(\frac 32x+\frac 53y=7, \ 9x-10y=12\), represents the following
From the below figure the value of x= _____.
From the below figure the value of x
The median of -4, -6, -5, 3, 0, 5 and 11 is
Which vessel shown in the below figure can hold more water?
Which vessel shown in the below figure can hold more water?
\(RP\) 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=__.
A circle touches the sides of a quadrilateral ABCD at points P, Q, R and S then which of the following is true?
A circle touches the sides of a quadrilateral ABCD at points P,Q,R and S then which of the following is true?
Find length of a kite string flying at 100 m above the ground with the elevation 60°.
In the below figure \(△PQR~△ABC\), then \(z+y=\) _____ .
In the below figure △PQR~△ABC,then z+y
From the below figure the value of x= _____.
From the below figure the value of x
Which of the following is true?
If the radius of a sphere is '2r' then the volume will be
\(\sqrt p+\sqrt q\) is an irrational number, where \(p, q\) are
If mode = 29, mean = 32 then median ____ .
The length of the shadow of a vertical pole is \(\sqrt 3\) times its original length. The angle of elevation to the sun 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 mid-point of the line segment joining the points (2, 7) and (12, -7) is
The value of \(log_{1250} 1250\) 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 -