NCERT Solutions for Class 11 Maths Chapter 12 Exercise 12.2

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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. \(\begin{bmatrix} 1 &  3\\ 2 & 7\end{bmatrix}\)

          3.
          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

              4.

               If \(\frac{d}{dx}f(x) = 4x^3-\frac{3}{x^4}\) such that \(f(2)=0\), then \(f(x)\) is

                • \(x^4+\frac{1}{x^3}-\frac{129}{8}\)

                • \(x^3+\frac{1}{x^4}+\frac{129}{8}\)

                • \(x^4+\frac{1}{x^3}+\frac{129}{8}\)

                • \(x^3+\frac{1}{x^4}-\frac{129}{8}\)

                5.
                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?

                    6.
                    By using the properties of definite integrals, evaluate the integral: \(∫_0^π log(1+cosx)dx\)

                        CBSE CLASS XII Previous Year Papers

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