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.
    Assertion (A) : In an experiment of throwing an unbiased die, the probability of getting a prime number given that number appearing on the die being odd is \( \frac{2}{3} \).
    Reason (R) : For any two events \( A \) and \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).

      • 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 and Reason (R) is false.
      • Assertion (A) is false and Reason (R) is true.

    • 2.

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


        • 3.
          If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


            • 4.
              The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

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

              • 5.

                Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not. 


                  • 6.
                    Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]

                      CBSE CLASS XII Previous Year Papers

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