NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.3

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.3 is based on Quadratic Equations.

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CBSE CLASS XII Related Questions

  • 1.
    Let $|\vec{a}| = 5 \text{ and } -2 \leq \lambda \leq 1$. Then, the range of $|\lambda \vec{a}|$ is:

      • [5, 10]
      • [-2, 5]
      • [-1, 5]
      • [10, 5]

    • 2.
      The principal value of $\sin^{-1} \left( \sin \left( -\frac{10\pi}{3} \right) \right)$ is :

        • $-\frac{2\pi}{3}$
        • $-\frac{\pi}{3}$
        • $\frac{\pi}{3}$
        • $\frac{2\pi}{3}$

      • 3.
        If \[ \begin{bmatrix} 4 + x & x - 1 \\ -2 & 3 \end{bmatrix} \] is a singular matrix, then the value of \( x \) is:

          • 0
          • 1
          • -2
          • -4

        • 4.
          Find the foot of the perpendicular drawn from point $(2, -1, 5)$ to the line \[ \frac{x - 11}{10} = \frac{y + 2}{-4} = \frac{z + 8}{-11} \] Also, find the length of the perpendicular.


            • 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 a relation between \( x \) and \( y \) such that the surface area \( S \) is minimum.


                • 6.
                  A coin is tossed twice. Let $X$ be a random variable defined as the number of heads minus the number of tails. Obtain the probability distribution of $X$ and also find its mean.

                    CBSE CLASS XII Previous Year Papers

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