NCERT Solutions for Class 11 Maths Chapter 12 Exercise 12.3

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CBSE CLASS XII Related Questions

1.
Find the following integral: \(\int (ax^2+bx+c)dx\)

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

          3.

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

              4.
              By using the properties of definite integrals, evaluate the integral: \(∫_0^π log(1+cosx)dx\)

                  5.
                  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) \((A-B)'=A'-B'\)

                      6.
                      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
                        CBSE CLASS XII Previous Year Papers

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