List of top Mathematics Questions asked in CBSE CLASS XII

If \( A = [a_{ij}] \) is a \( 3 \times 3 \) matrix, where \( a_{ij} = i - 3j \), then which of the following is false?
Assertion (A): For any symmetric matrix \( A \), \( B'A B \) is a skew-symmetric matrix.
Reason (R): A square matrix \( P \) is skew-symmetric if \( P' = -P \).
If the sum of all the elements of a \( 3 \times 3 \) scalar matrix is 9, then the product of all its elements is:
The number of all scalar matrices of order 3, with each entry \( -1, 0, 1 \), is:
If the sum of all the elements of a \( 3 \times 3 \) scalar matrix is 9, then the product of all its elements is:
The solution of the differential equation \( \frac{dy}{dx} = \frac{1}{\log y} \) is:
Which of the following is a homogenous differential equation?

The integrating factor of the differential equation \(x\frac{dy}{dx}-y=2x^{2}\) is

The integrating factor of the differential equation.
\((1-y^{2})\frac{dx}{dy}+yx=ay\)\((-1<y<1)\)\(is\)
The general solution of the differential equation \(\frac{ydx-xdy}{y}=0 \) is

The general solution of a differential equation of the type \(\frac{dx}{dy}+p_{1}x=Q1\) is

The general solution of the differential equation \(e^{x}dy+(ye^{x}+2x)dx=0\) is

The integrating factor of the differential equation \[ (1 - x^2) \frac{dy}{dx} + xy = ax, \quad -1 < x < 1, \] 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:
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 differential equation \( \frac{dy}{dx} = F(x, y) \) will not be a homogeneous differential equation, if \( F(x, y) \) is:
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

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: