NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.1

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.1 is based on following concepts:

  • Complex Numbers
  • Algebra of Complex Number
  • Modulus and the Conjugate of a Complex Number

Download PDF NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.1

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CBSE CLASS XII Related Questions

  • 1.

    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 :


      • 2.

        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. 


          • 3.
            Find:

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

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

            • 4.
              If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).


                • 5.
                  Find:

                  The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]


                    • 6.
                      Which of the following equations is NOT a Linear Differential Equation?

                        • \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
                        • \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
                        • \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
                        • \(y \, dx - (x + 3y^2) \, dy = 0\)
                      CBSE CLASS XII Previous Year Papers

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