List of top Mathematics Questions

The degree of the differential equation \( (y'')^2 + (y')^3 = x \sin(y') \) is:
The number of solutions of the differential equation \( \frac{dy}{dx} - y = 1 \), given that \( y(0) = 1 \), is:
The degree of the differential equation \( (y'')^2 + (y')^3 = x \sin(y') \) is:
The differential equation \( \frac{dy}{dx} = F(x, y) \) will not be a homogeneous differential equation, if \( F(x, y) \) is:

Which of the given values of x and y make the following pair of matrices equal \(\begin{bmatrix}3x+y&5\\y+1&2-3x\end{bmatrix}=\begin{bmatrix}0&y-2\\8&4\end{bmatrix}\)

The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is:

Matrices A and B will be inverse of each other only if

Choose the correct answer in the following questions: If \(\begin{bmatrix} α & β  \\ \gamma & -\alpha \end{bmatrix}\) is such that A2=I then  
If A is square matrix such that A2=A,then (I+A)3-7A is equal to
If the matrix \(A\) is both symmetric and skew symmetric,then
If A,B are symmetric matrices of same order,then AB−BA is a
If \(A=\begin{bmatrix}cosα& -sinα\\ sinα& cosα\end{bmatrix}\),thenA+A=I,if the value of \(α\) is
If y=\(\frac{2\cos2\theta+\cos\theta}{\cos3\theta+\cos^2\theta+\cos\theta}\), Then value of y''+y'+y is
If S = {2, 4, 8, 16, ..., 512}. If S is broken in 3 equal subsets A, B and C such that A∩B = B∩C = C∩A = φ and A∪B∪C = S then maximum number of ways to break is
A line L is perpendicular to y = 2x + 10 such that it touches the parabola y2 = 4(x – g). Then the distance between point of contact and origin is equal to
Consider a equation  P(x)= ax2 + bx + c =0. If a,b,c ∈ A, were A = {1, 2, 3, 4, 5, 6} . Then the probability that P(x) has real and distinct roots?
A=\(\begin{bmatrix}   \alpha & \alpha & \alpha \\   \beta & \alpha & -\beta \\   -\alpha & \alpha & \alpha  \end{bmatrix}\)B is formed by co-factor of A matrix, then find out determinant of AB.
If |a| = 2, |b| = 3 and a = b × 2, then minimum value of \(|\hat{c} - a|^2\) is:
Area bounded by y = -2|x| and y = x|x| is:
Let image of point(8,5,7) with respect to line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}\) is (α,β,γ). Then, α+β+γ is equal to______.
The number of real solution x|x + 5| + 2|x + 7| - 2 = 0 is
Let 41+x + 41-x, \(\frac{k}{2}\), 16x + 16-x are in A. P. then least value of k is____
\(\left( \frac{3^{\frac{1}{5}}}{x}+\frac{2x}{5^\frac{1}{3}} \right)^{12}\)Find which term is constant.
The 50th word in the dictionary using the letters B, B, H, J, O is:
If \(\int\frac{dx}{a^2\sin x+b^2\cos^2x}=\frac{1}{12}\tan^{-1}(3\tan x)+c,\)then the maximum value of a sinx + bcosx is____