NCERT Solutions for Class 11 Maths Chapter 5 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Miscellaneous Exercises are based on following concepts:

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CBSE CLASS XII Related Questions

1.

If A=\(\begin{bmatrix}2&-1&1\\-1&2&-1\\1&-1&2\end{bmatrix}\)verify that A3-6A2+9A-4 I=0 and hence find A-1 

      2.

      Evaluate \(\begin{vmatrix} cos\alpha cos\beta &cos\alpha sin\beta  &-sin\alpha \\   -sin\beta&cos\beta  &0 \\   sin\alpha cos\beta&sin\alpha\sin\beta  &cos\alpha  \end{vmatrix}\)

          3.
          For what values of x,\(\begin{bmatrix} 1 & 2 & 1 \end{bmatrix}\)\(\begin{bmatrix} 1 & 2 & 0\\ 2 & 0 & 1 \\1&0&2 \end{bmatrix}\)\(\begin{bmatrix} 0 \\2\\x\end{bmatrix}\)=O?

              4.
              Find the vector and the cartesian equations of the lines that pass through the origin and(5,-2,3).

                  5.
                  If (i) A=\(\begin{bmatrix} \cos\alpha & \sin\alpha\\ -\sin\alpha & \cos\alpha \end{bmatrix}\),then verify that A'A=I
                  (ii) A= \(\begin{bmatrix} \sin\alpha & \cos\alpha\\ -\cos \alpha & \sin\alpha \end{bmatrix}\),then verify that A'A=I

                      6.
                      Find the following integral: \(\int (ax^2+bx+c)dx\)

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