NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.2

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Jasmine Grover

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NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6.2 is provided in this article. Chapter 6 Exercise 6.2 includes questions that deal with concepts of increasing and decreasing functions. The exercise includes a total of 19 questions with 10 long questions, 7 short questions and 2 MCQs.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.2

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CBSE CLASS XII Related Questions

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


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


          • 3.

            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. 


              • 4.

                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.

                • 5.

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


                    • 6.
                      For a square matrix \(A\), \[ (3A)^{-1}= \]

                        • \( 3A^{-1} \)
                        • \( 9A^{-1} \)
                        • \( \frac{1}{3} A^{-1} \)
                        • \( \frac{1}{9} A^{-1} \)
                      CBSE CLASS XII Previous Year Papers

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