NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.1 Solutions 

CBSE CLASS XII Related Questions

  • 1.
    For a square matrix \(A\), \[ (3A)^{-1}= \]

      • \( 3A^{-1} \)
      • \( 9A^{-1} \)
      • \( \frac{1}{3} A^{-1} \)
      • \( \frac{1}{9} A^{-1} \)

    • 2.
      Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


        • 3.
          The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

            • \( e^{-3} \)
            • \( -1 \)
            • \( 1 \)
            • \( -e^3 \)

          • 4.

            Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 


              • 5.
                If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


                  • 6.
                    A function \[ f:\mathbb{R}-\left\{\frac{3}{5}\right\} \to \mathbb{R}-\left\{\frac{3}{5}\right\} \] is defined as \[ f(x)=\frac{3x+2}{5x-3}. \] Show that \(f\) is one-one and onto.

                      CBSE CLASS XII Previous Year Papers

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