NCERT Solutions for Class 11 Maths Chapter 5 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Miscellaneous Exercises are based on following concepts:

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CBSE CLASS XII Related Questions

  • 1.
    Find the maximum slope of the curve \( y = x^3 + 3x^2 + 9x - 30 \).


      • 2.
        If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]


          • 3.
            \[ \int \frac{\tan^2 \sqrt{x}}{\sqrt{x}} \, dx \text{ is equal to:} \]

              • \(\sec \sqrt{x} + C\)
              • \(2\sqrt{x} \tan x - x + C\)
              • \(2\left( \tan \sqrt{x} - \sqrt{x} \right) + C\)
              • \(2 \tan \sqrt{x} - x + C\)

            • 4.
              Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]


                • 5.
                  Differentiate $2\cos^2 x$ w.r.t. $\cos^2 x$.


                    • 6.
                      Find the least value of ‘a’ so that $f(x) = 2x^2 - ax + 3$ is an increasing function on $[2, 4]$.

                        CBSE CLASS XII Previous Year Papers

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