NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.6

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Jasmine Grover

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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.
    Find:

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


      • 2.
        Find a point on the line \( \frac{x - 2}{3} = \frac{1 - y}{2} = \frac{z - 3}{2} \) at a distance of \( \sqrt{2} \) units from the point \( (1, 2, 3) \).


          • 3.
            If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).


              • 4.
                Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


                  • 5.
                    Find:

                    If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

                      • \(0\)
                      • \(-2\)
                      • \(-1\)
                      • \(2\)

                    • 6.

                      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 :

                        CBSE CLASS XII Previous Year Papers

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