List of top Mathematics Questions

If the system of equations  
x + y + az = b  
2x + 5y + 2z = 6  
x + 2y + 3z = 3  
Has infinitely many solutions, then 2a + 3b is equal to
The value of \(\int_{0}^{\frac{1}{2}}\frac{dx}{\sqrt{1-x^{2n}}}\) is (n∈N)

Let $ X = \left\{ \begin{bmatrix} a & b \\ c & d \end{bmatrix} \middle| a, b, c, d \in \mathbb{R} \right\} $. If $ f: X \to \mathbb{R} $ is defined by $ f(A) = \det(A) $ for all $ A \in X $, then $ f $ is

For a real number t ,the equation \((1+t)x^2 + (t-1)y^2 + t^2 - 1 = 0\) represents a hyperbola provided 
If the sum of 12th and 22nd terms of an AP is 100, then the sum of the first 33 terms of an AP is
If the roots of the quadratic equation \(px^2+qx+r=0\), are equal, then \(q^2 =\)
The sum of roots of the quadratic equation \(3x^2-6x+1=0\) is
If ax+b=0, then x =
Two events \(E_1\) and \(E_2\) are mutually exclusive then \(E_1∩E_2 =\)
The value of \(\frac{\cot 45^\circ}{\sin 30^\circ + \cos 60^\circ}\) is
Among \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}\) the non-terminating decimal is
The line x=7 is_____
In a trapezium ABCD with \(AB || DC\)  and diagonals intersect each other at the point 'O'. If \(AB=2CD\), then the ratio of areas of triangles COD and AOB is 
(x+a) is a factor of f(x), if
The two lines 2x+3y=7, 8x+12y=1 are____lines
\(\sqrt{2}+\sqrt{3}\) is
\(\triangle ABC \sim \triangle DEF\) and their areas are respectively \(81 \text{ cm}^2 \quad \text{and} \quad 225 \text{ cm}^2\); if \(EF = 5 cm\), then \(BC=\)
Empirical relation between Mean, Median and Mode is
Product of zeroes of polynomial \(5x^2-1\) is
If \(\sec \theta = \frac{2}{\sqrt{3}}\),then \(cosθ=\)
What is the median of 47, 52, 57, 62, 67, 72, 77, 78 ?
Find the missing value of "p" from the following table when Arithmetic Mean is 3.55.
X123456
F89p1698
The angle of elevation of top of the cliff from a point 300 m from its foot is 600. Then the height of the cliff is
A person is flying a kite at a height of 30 m from the horizontal level. The length of string from the kite to the person is 60 m. Assuming that here is no slack in the string, the angle of elevation of kite to the horizontal level is
If no value of an ungrouped data is repeated, then which of the following cannot be determined?