Arts (English Medium) कक्षा १२ - CBSE Question Bank Solutions for Mathematics

Mark the correct alternative in the following question:
Let f : R  \[-\] \[\left\{ \frac{3}{5} \right\}\] \[\to\]  R be defined by f(x) = \[\frac{3x + 2}{5x - 3}\] Then,

If \[A = \begin{vmatrix}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{vmatrix}\]  and C_ij is cofactor of a_ij in A, then value of |A| is given 

Discuss the continuity and differentiability of the 

Write the adjoint of the matrix \[A = \begin{bmatrix}- 3 & 4 \\ 7 & - 2\end{bmatrix} .\]

If C_ij is the cofactor of the element a_ij of the matrix \[A = \begin{bmatrix}2 & - 3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & - 7\end{bmatrix}\], then write the value of a₃₂C₃₂.

Write \[A^{- 1}\text{ for }A = \begin{bmatrix}2 & 5 \\ 1 & 3\end{bmatrix}\]

The general solution of the differential equation \[\frac{dy}{dx} = \frac{y}{x}\] is

The general solution of the differential equation \[\frac{dy}{dx} + y \] cot x = cosec x, is

The solution of the differential equation \[\frac{dy}{dx} + \frac{2y}{x} = 0\] with y(1) = 1 is given by

The general solution of the differential equation \[\frac{dy}{dx} + y\] g' (x) = g (x) g' (x), where g (x) is a given function of x, is

The solution of the differential equation \[\frac{dy}{dx} = 1 + x + y^2 + x y^2 , y\left( 0 \right) = 0\] is

Solution of the differential equation \[\frac{dy}{dx} + \frac{y}{x}=\sin x\] is

The solution of the differential equation \[2x\frac{dy}{dx} - y = 3\] represents

The solution of the differential equation \[x\frac{dy}{dx} = y + x \tan\frac{y}{x}\], is

If m and n are the order and degree of the differential equation \[\left( y_2 \right)^5 + \frac{4 \left( y_2 \right)^3}{y_3} + y_3 = x^2 - 1\], then

The solution of the differential equation \[\frac{dy}{dx} + 1 = e^{x + y}\], is

The solution of x² + y²  \[\frac{dy}{dx}\]= 4, is

The solution of the differential equation x dx + y dy = x² y dy − y² x dx, is