NCERT Solutions for Class 12 Chapter 9 Differential Equations Miscellaneous Exercises

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Miscellaneous Exercises are provided in the article. Class 12 Chapter 9 Differential Equations Exercises cover miscellaneous questions from the entire chapter. 

The exercises are thus based on following concepts:

  • Introduction to Differential Equations
  • Basic Concepts of Differential Equation
  • General and Particular Solutions of a Differential Equation
  • Formation of a Differential Equation whose General Solution is given
  • Methods of Solving First Order, First Degree Differential Equations

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CBSE CLASS XII Related Questions

1.
If A'= \(\begin{bmatrix} 3 & 4 \\ -1 & 2 \\ 0 &1 \end{bmatrix}\)\(\begin{bmatrix}  -1 & 2 & 1 \\ 1 &2 & 3\end{bmatrix}\) , then verify that 
(i) \((A+B)'=A'+B' \)
(ii) \((A-B)'=A'-B'\)

      2.
      Find the inverse of each of the matrices, if it exists. \(\begin{bmatrix} 1 &  3\\ 2 & 7\end{bmatrix}\)

          3.

          Solve system of linear equations, using matrix method.
           x-y+2z=7
           3x+4y-5z=-5
           2x-y+3z=12

              4.
              Let f: R→R be defined as f(x) = 3x. Choose the correct answer.

                • f is one-one onto
                • f is many-one onto
                • f is one-one but not onto
                • f is neither one-one nor onto

                5.
                Find the inverse of each of the matrices,if it exists \(\begin{bmatrix} 2 & 1 \\ 7 & 4  \end{bmatrix}\)

                    6.
                    Find the vector and the cartesian equations of the lines that pass through the origin and(5,-2,3).

                        CBSE CLASS XII Previous Year Papers

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