NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.6

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NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.6 is given in this article with a detailed explanation. Chapter 4 Determinants Exercise 4.6 covers concepts of applications of determinants and matrices and finding the solution of a given system of linear equations using an inverse of a matrix.

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CBSE CLASS XII Related Questions

  • 1.

    Prove that:
    \( \tan^{-1}(\sqrt{x}) = \frac{1}{2} \cos^{-1}\left( \frac{1 - x}{1 + x} \right), \quad x \in [0, 1] \)


      • 2.
        Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]


          • 3.
            If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).


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


                  • 5.

                    A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
                    On the basis of the above information, answer the following questions :
                    Find \( \frac{dS}{dx} \).


                      • 6.
                        The probability that a student buys a colouring book is 0.7, and a box of colours is 0.2. The probability that she buys a colouring book, given that she buys a box of colours, is 0.3. Find:
                        (i) The probability that she buys both the colouring book and the box of colours.
                        (ii) The probability that she buys a box of colours given she buys the colouring book.

                          CBSE CLASS XII Previous Year Papers

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