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

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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.

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CBSE CLASS XII Related Questions

  • 1.
    Find:

    If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

      • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
      • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
      • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
      • \(p = 0, \, q = 0\)

    • 2.
      Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


        • 3.
          A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

            • Reflexive only
            • Reflexive and Transitive
            • Symmetric and Transitive
            • Symmetric only

          • 4.

            A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length. 


              • 5.
                Find:

                If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

                  • \(0\)
                  • \(-2\)
                  • \(-1\)
                  • \(2\)

                • 6.
                  If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).

                    CBSE CLASS XII Previous Year Papers

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