NCERT Solutions for Class 11 Maths Chapter 6 Exercise 6.1

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Class 11 Maths NCERT Solutions Chapter 6 Linear Inequalities Exercise 6.1 is based on following concepts:

  • Inequalities
  • Algebraic Solutions of Linear Inequalities in 1 Variable and their Graphical Representation

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CBSE CLASS XII Related Questions

  • 1.
    For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

      • local maximum value is 2
      • local minimum value is \( -2 \)
      • local maximum value is \( -2 \)
      • local minimum value \( < \) local maximum value

    • 2.

      Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 


        • 3.
          Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]


            • 4.
              For a square matrix \(A\), \[ (3A)^{-1}= \]

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

              • 5.

                For two vectors \(\vec{a}\) and \(\vec{b}\):  

                Assertion (A): \[ |\vec{a}\times\vec{b}|^2+(\vec{a}\cdot\vec{b})^2 = |\vec{a}|^2|\vec{b}|^2 \] Reason (R): \[ |\vec{a}\times\vec{b}| = (\vec{a}\cdot\vec{b})\tan\theta, \quad \theta\neq\frac{\pi}{2}. \]

                  • Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
                  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                  • Assertion (A) is true, but Reason (R) is false.
                  • Assertion (A) is false, but Reason (R) is true.

                • 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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