NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.3

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Class 11 Maths NCERT Solutions Chapter 14 Mathematical Reasoning Exercise 14.3 are based on the following concepts: 

  • New statements from old statements
  • Implications
  • Validating Statements
  • Conjunction

Download PDF NCERT Solutions for Class 11 Chapter 14 Mathematical Reasoning Exercise 14.3

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Chapter Related Topics
Irrational Number Prime Number Real Number

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CBSE CLASS XII Related Questions

  • 1.

    Evaluate:
    \[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]


      • 2.

        At a birthday party, children are being served orange juice in conical cups, as shown in the figure. 


        Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
        On the basis of the above information, answer the following questions :


          • 3.

            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 :


              • 4.
                Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).


                  • 5.
                    Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


                      • 6.
                        Find:

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

                          CBSE CLASS XII Previous Year Papers

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