NCERT Solutions for Class 12 Chapter 13 Probability Exercise 13.3

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Class 12 Maths NCERT Solutions Chapter 13 Probability Exercise 13.3 is based on Bayes’ Theorem also covering questions based on Bayes Theorem Formula.

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CBSE CLASS XII Related Questions

1.
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?

      2.

      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 

          3.
          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) \((A-B)'=A'-B'\)

              4.
              Find the inverse of each of the matrices,if it exists. \(\begin{bmatrix} 2 &  3\\ 5 & 7 \end{bmatrix}\)

                  5.
                  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

                    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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