NCERT Solutions for Class 11 Maths Chapter 3 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions Miscellaneous Exercises are based on following concepts:

  • Angles
  • Trigonometric Functions
  • Trigonometric Functions of Sum and Difference of Two Angles
  • Trigonometric Equations

Download PDF NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Miscellaneous Exercises 

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CBSE CLASS XII Related Questions

  • 1.
    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 \(k\).

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

    • 2.
      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

      • 3.
        Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


          • 4.
            Find:

            The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

              • \(-\frac{\pi}{2}\)
              • \(-\frac{\pi}{4}\)
              • \(\frac{\pi}{4}\)
              • \(\frac{\pi}{2}\)

            • 5.

              An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.  
              Based on the above information, answer the following questions :


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

                    CBSE CLASS XII Previous Year Papers

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