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


      • 2.

        If \[ B(\operatorname{adj} B)= \begin{bmatrix} \frac{1}{3} & 0 & 0\\ 0 & \frac{1}{3} & 0\\ 0 & 0 & \frac{1}{3} \end{bmatrix}, \] then the value of \[ \det(B^{-1}) \] is: 

          • \(\frac{1}{3}\)
          • \(\frac{1}{9}\)
          • \(3\)
          • \(9\)

        • 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.

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


                  • 6.

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

                      CBSE CLASS XII Previous Year Papers

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