NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.2

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.2 is based on following concepts:

  • Argand Plane
  • Polar representation of a complex number

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CBSE CLASS XII Related Questions

  • 1.

    Let \( \vec{a} \) and \( \vec{b} \) be two co-initial vectors forming adjacent sides of a parallelogram such that:
    \[ |\vec{a}| = 10, \quad |\vec{b}| = 2, \quad \vec{a} \cdot \vec{b} = 12 \] Find the area of the parallelogram.


      • 2.
        Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]


          • 3.
            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 \[ QR = \frac{3}{2} QP. \]


              • 4.
                Three students run on a racing track such that their speeds add up to 6 km/h. However, double the speed of the third runner added to the speed of the first results in 7 km/h. If thrice the speed of the first runner is added to the original speeds of the other two, the result is 12 km/h. Using the matrix method, find the original speed of each runner.


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


                      • 6.
                        In a rough sketch, mark the region bounded by \( y = 1 + |x + 1| \), \( x = -2 \), \( x = 2 \), and \( y = 0 \). Using integration, find the area of the marked region.

                          CBSE CLASS XII Previous Year Papers

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